-
The interaction between non-trivial topological states and the magnetic order of intrinsic magnetic topological insulators gives rise to various exotic physical properties, including the quantum anomalous Hall effect and axion insulator. These materials possess great potential applications in low-power topological spintronic devices and topological quantum computation. Since the first intrinsic magnetic topological insulator, MnBi2Te4, was discovered in 2019, this material system has received significant attention from researchers and sparked a research boom. This paper begins with discussing the fundamental properties of MnBi2Te4 and then turns to important research findings related to this intrinsic magnetic topological insulator. Specifically, it focuses on the quantum anomalous Hall effect, axion insulating state, and Majorana zero energy mode exhibited by the MnBi2Te4 series. Furthermore, this paper highlights other research directions and current challenges associated with this material system. Finally, this paper provides a summary and outlook for future research on MnBi2Te4, aiming to offer valuable references for researchers in related fields.
[1] Bernevig B A, Hughes T L, Zhang S C 2006 Science 314 1757
Google Scholar
[2] König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766
Google Scholar
[3] Fu L, Kane C L 2007 Phys. Rev. B 76 045302
Google Scholar
[4] Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J, Hasan M Z 2008 Nature 452 970
Google Scholar
[5] Zhang H, Liu C X, Qi X L, Dai X, Fang Z, Zhang S C 2009 Nat. Phys. 5 438
Google Scholar
[6] Pesin D, MacDonald A H 2012 Nat. Mater. 11 409
Google Scholar
[7] Rajamathi C R, Gupta U, Kumar N, Yang H, Sun Y, Suss V, Shekhar C, Schmidt M, Blumtritt H, Werner P, Yan B H, Parkin S, Felser C, Rao C N R 2017 Adv. Mater. 29 1606202
Google Scholar
[8] Kitaev A Y 2003 Ann. Phys. 303 2
Google Scholar
[9] Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang L L, Ji Z Q, Feng Y, Ji S, Chen X, Jia J, Dai X, Fang Z, Zhang S C, He K, Wang Y, Lu L, Ma X C, Xue Q K 2013 Science 340 167
Google Scholar
[10] Chang C Z, Zhao W, Kim D Y, Zhang H, Assaf B A, Heiman D, Zhang S C, Liu C, Chan M H W, Moodera J S 2015 Nat. Mater. 14 473
Google Scholar
[11] Mogi M, Kawamura M, Yoshimi R, Tsukazaki A, Kozuka Y, Shirakawa N, Takahashi K S, Kawasaki M, Tokura Y 2017 Nat. Mater. 16 516
Google Scholar
[12] Xiao D, Jiang J, Shin J H, Wang W, Wang F, Zhao Y F, Liu C, Wu W, Chan M H W, Samarth N, Chang C Z 2018 Phys. Rev. Lett. 120 056801
Google Scholar
[13] Lachman E O, Young A F, Richardella A, Cuppens J, Naren H R, Anahory Y, Meltzer A Y, Kandala A, Kempinger S, Myasoedov Y, Huber M E, Samarth N, Zeldov E 2015 Sci. Adv. 1 e1500740
Google Scholar
[14] Otrokov M M, Menshchikova T V, Vergniory M G, Rusinov I P, Yu Vyazovskaya A, Koroteev Y M, Bihlmayer G, Ernst A, Echenique P M, Arnau A, Chulkov E V 2017 2D Mater. 4 025082
Google Scholar
[15] Zhang D, Shi M, Zhu T, Xing D, Zhang H, Wang J 2019 Phys. Rev. Lett. 122 206401
Google Scholar
[16] Li J, Li Y, Du S, Wang Z, Gu B L, Zhang S C, He K, Duan W, Xu Y 2019 Sci. Adv. 5 eaaw5685
Google Scholar
[17] Otrokov M M, Rusinov I P, Blanco-Rey M, Hoffmann M, Vyazovskaya A Y, Eremeev S V, Ernst A, Echenique P M, Arnau A, Chulkov E V 2019 Phys. Rev. Lett. 122 107202
Google Scholar
[18] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
Google Scholar
[19] Peng Y, Xu Y 2019 Phys. Rev. B 99 195431
Google Scholar
[20] He Q L, Hughes T L, Armitage N P, Tokura Y, Wang K L 2022 Nat. Mater. 21 15
Google Scholar
[21] Chen X, Wang H, Liu H, Wang C, Wei G, Fang C, Wang H, Geng C, Liu S, Li P, Yu H, Zhao W, Miao J, Li Y, Wang L, Nie T, Zhao J, Wu X 2022 Adv. Mater. 34 2106172
Google Scholar
[22] Flensberg K, von Oppen F, Stern A 2021 Nat. Rev. Mater. 6 944
Google Scholar
[23] Wang Y, Ma X M, Hao Z, Cai Y, Rong H, Zhang F, Chen W, Zhang C, Lin J, Zhao Y, Liu C, Liu Q, Chen C 2023 Natl. Sci. Rev. DOI: 10.1093/nsr/nwad066
[24] Tokura Y, Yasuda K, Tsukazaki A 2019 Nat. Rev. Phys. 1 126
Google Scholar
[25] Mogi M, Kawamura M, Tsukazaki A, Yoshimi R, Takahashi K S, Kawasaki M, Tokura Y 2017 Sci. Adv. 3 eaao1669
Google Scholar
[26] Lian B, Sun X Q, Vaezi A, Qi X L, Zhang S C 2018 Proc. Natl. Acad. Sci. U. S. A. 115 10938
Google Scholar
[27] Mong R S K, Essin A M, Moore J E 2010 Phys. Rev. B 81 245209
Google Scholar
[28] Lee D S, Kim T H, Park C H, Chung C Y, Lim Y S, Seo W S, Park H H 2013 CrystEngComm 15 5532
Google Scholar
[29] Gong Y, Guo J, Li J, Zhu K, Liao M, Liu X, Zhang Q, Gu L, Tang L, Feng X, Zhang D, Li W, Song C, Wang L, Yu P, Chen X, Wang Y, Yao H, Duan W, Xu Y, Zhang S C, Ma X, Xue Q K, He K 2019 Chin. Phys. Lett. 36 076801
Google Scholar
[30] Otrokov M M, Klimovskikh I I, Bentmann H, Estyunin D, Zeugner A, Aliev Z S, Gass S, Wolter A U B, Koroleva A V, Shikin A M, Blanco-Rey M, Hoffmann M, Rusinov I P, Vyazovskaya A Y, Eremeev S V, Koroteev Y M, Kuznetsov V M, Freyse F, Sánchez-Barriga J, Amiraslanov I R, Babanly M B, Mamedov N T, Abdullayev N A, Zverev V N, Alfonsov A, Kataev V, Buchner B, Schwier E F, Kumar S, Kimura A, Petaccia L, Di Santo G, Vidal R C, Schatz S, Kissner K, Unzelmann M, Min C H, Moser S, Peixoto T R F, Reinert F, Ernst A, Echenique P M, Isaeva A, Chulkov E V 2019 Nature 576 416
Google Scholar
[31] Deng Y, Yu Y, Shi M Z, Guo Z, Xu Z, Wang J, Chen X H, Zhang Y 2020 Science 367 895
Google Scholar
[32] Liu C, Wang Y, Li H, Wu Y, Li Y, Li J, He K, Xu Y, Zhang J, Wang Y 2020 Nat. Mater. 19 522
Google Scholar
[33] Ge J, Liu Y, Li J, Li H, Luo T, Wu Y, Xu Y, Wang J 2020 Natl. Sci. Rev. 7 1280
Google Scholar
[34] Li Y, Liu C, Wang Y, Lian Z, Li H, Chun O, Zhang J, Wang Y 2021 arXiv: 2105.10390v1 [cond-mat. mtrl-sci
[35] Liu C, Wang Y, Yang M, Mao J, Li H, Li Y, Li J, Zhu H, Wang J, Li L, Wu Y, Xu Y, Zhang J, Wang Y 2021 Nat. Commun. 12 4647
Google Scholar
[36] Wu M, Tu D, Nie Y, Miao S, Gao W, Han Y, Zhu X, Zhou J, Ning W, Tian M 2022 Nano Lett. 22 73
Google Scholar
[37] Gao A, Liu Y F, Hu C, Qiu J X, Tzschaschel C, Ghosh B, Ho S C, Bérubé D, Chen R, Sun H, Zhang Z, Zhang X Y, Wang Y X, Wang N, Huang Z, Felser C, Agarwal A, Ding T, Tien H J, Akey A, Gardener J, Singh B, Watanabe K, Taniguchi T, Burch K S, Bell D C, Zhou B B, Gao W, Lu H Z, Bansil A, Lin H, Chang T R, Fu L, Ma Q, Ni N, Xu S Y 2021 Nature 595 521
Google Scholar
[38] Tai L, Chong S K, Zhang H, Zhang P, Deng P, Eckberg C, Qiu G, Dai B, He H, wu D, Xu S, Davydov A, Wang K 2021 arXiv: 2103.09878v1 [cond-mat. mtrl-sci
[39] Ye C, Xie X, Lü W, Huang K, Yang A J, Jiang S, Liu X, Zhu D, Qiu X, Tong M, Zhou T, Hsu C H, Chang G, Lin H, Li P, Yang K, Wang Z, Jiang T, Renshaw Wang X 2022 Nano Lett. 22 1366
Google Scholar
[40] Zhang Z, Wang N, Cao N, Wang A, Zhou X, Watanabe K, Taniguchi T, Yan B, Gao W B 2022 Nat. Commun. 13 6191
Google Scholar
[41] Bartram F M, Leng Y C, Wang Y, Liu L, Chen X, Peng H, Li H, Yu P, Wu Y, Lin M L, Zhang J, Tan P H, Yang L 2022 npj Quantum Mater. 7 84
Google Scholar
[42] 占国慧, 王怀强, 张海军 2020 物理 49 817
Google Scholar
Zhan G H, Wang H Q, Zhang H J 2020 Physics 49 817
Google Scholar
[43] 郭文锑, 黄璐, 许桂贵, 钟克华, 张健敏, 黄志高 2021 物理学报 70 047101
Google Scholar
Guo W T, Huang L, Xu G G, Zhong K H, Zhang J M, Huang Z G 2021 Acta Phys. Sin. 70 047101
Google Scholar
[44] Wang Y, Zhang F, Zeng M, Sun H, Hao Z, Cai Y, Rong H, Zhang C, Liu C, Ma X, Wang L, Guo S, Lin J, Liu Q, Liu C, Chen C 2023 Front. Phys. 18 21304
Google Scholar
[45] Li B, Yan J Q, Pajerowski D M, Gordon E, Nedić A M, Sizyuk Y, Ke L, Orth P P, Vaknin D, McQueeney R J 2020 Phys. Rev. Lett. 124 167204
Google Scholar
[46] Yan J Q, Zhang Q, Heitmann T, Huang Z, Chen K Y, Cheng J G, Wu W, Vaknin D, Sales B C, McQueeney R J 2019 Phys. Rev. Mater. 3 064202
Google Scholar
[47] Yang S, Xu X, Zhu Y, Niu R, Xu C, Peng Y, Cheng X, Jia X, Huang Y, Xu X, Lu J, Ye Y 2021 Phys. Rev. X 11 011003
Google Scholar
[48] Wang P, Ge J, Li J, Liu Y, Xu Y, Wang J 2021 The Innovation 2 100098
Google Scholar
[49] Li J, Wang C, Zhang Z, Gu B-L, Duan W, Xu Y 2019 Phys. Rev. B 100 121103
Google Scholar
[50] Deng H, Chen Z, Wołoś A, Konczykowski M, Sobczak K, Sitnicka J, Fedorchenko I V, Borysiuk J, Heider T, Pluciński Ł, Park K, Georgescu A B, Cano J, Krusin-Elbaum L 2021 Nat. Phys. 17 36
Google Scholar
[51] Fu H, Liu C X, Yan B 2020 Sci. Adv. 6 eaaz0948
Google Scholar
[52] Gao R, Qin G, Qi S, Qiao Z, Ren W 2021 Phys. Rev. Mater. 5 114201
Google Scholar
[53] Ying Z, Zhang S, Chen B, Jia B, Fei F, Zhang M, Zhang H, Wang X, Song F 2022 Phys. Rev. B 105 085412
Google Scholar
[54] Nomura K, Nagaosa N 2011 Phys. Rev. Lett. 106 166802
Google Scholar
[55] Li H, Jiang H, Chen C Z, Xie X C 2021 Phys. Rev. Lett. 126 156601
Google Scholar
[56] Tse W K, MacDonald A H 2010 Phys. Rev. Lett. 105 057401
Google Scholar
[57] Wu L, Salehi M, Koirala N, Moon J, Oh S, Armitage N P 2016 Science 354 1124
Google Scholar
[58] Wang J, Lian B, Qi X L, Zhang S C 2015 Phys. Rev. B 92 081107
Google Scholar
[59] Morimoto T, Furusaki A, Nagaosa N 2015 Phys. Rev. B 92 085113
Google Scholar
[60] Wilczek F 1987 Phys. Rev. Lett. 58 1799
Google Scholar
[61] Essin A M, Moore J E, Vanderbilt D 2009 Phys. Rev. Lett. 102 146805
Google Scholar
[62] Wang J 2020 Sci. Chin. -Phys. , Mech. Astron. 63 127031
Google Scholar
[63] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
Google Scholar
[64] Qi X L, Hughes T L, Zhang S C 2010 Phys. Rev. B 82 184516
Google Scholar
[65] 't Hooft G 1976 Phys. Rev. D 14 3421
Google Scholar
[66] Fu L, Kane C L 2008 Phys. Rev. Lett. 100 096407
Google Scholar
[67] Chen C, Jiang K, Zhang Y, Liu C, Liu Y, Wang Z, Wang J 2020 Nat. Phys. 16 536
Google Scholar
[68] Lutchyn R M, Sau J D, Das Sarma S 2010 Phys. Rev. Lett. 105 077001
Google Scholar
[69] Leijnse M, Flensberg K 2012 Semicond. Sci. Technol. 27 124003
Google Scholar
[70] Stone M, Roy R 2004 Phys. Rev. B 69 184511
Google Scholar
[71] Wang M X, Liu C, Xu J P, Yang F, Miao L, Yao M Y, Gao C L, Shen C, Ma X, Chen X, Xu Z A, Liu Y, Zhang S C, Qian D, Jia J F, Xue Q K 2012 Science 336 52
Google Scholar
[72] Fu L, Kane C L 2009 Phys. Rev. Lett. 102 216403
Google Scholar
[73] Sau J D, Lutchyn R M, Tewari S, Das Sarma S 2010 Phys. Rev. Lett. 104 040502
Google Scholar
[74] Alicea J 2012 Rep. Prog. Phys. 75 076501
Google Scholar
[75] Akhmerov A R, Nilsson J, Beenakker C W J 2009 Phys. Rev. Lett. 102 216404
Google Scholar
[76] Oreg Y, Refael G, von Oppen F 2010 Phys. Rev. Lett. 105 177002
Google Scholar
[77] Fu L, Kane C L 2009 Phys. Rev. B 79 161408
Google Scholar
[78] Zhang P, Yaji K, Hashimoto T, Ota Y, Kondo T, Okazaki K, Wang Z, Wen J, Gu G D, Ding H, Shin S 2018 Science 360 182
Google Scholar
[79] Kong L, Zhu S, Papaj M, Chen H, Cao L, Isobe H, Xing Y, Liu W, Wang D, Fan P, Sun Y, Du S, Schneeloch J, Zhong R, Gu G, Fu L, Gao H J, Ding H 2019 Nat. Phys. 15 1181
Google Scholar
[80] König E J, Coleman P 2019 Phys. Rev. Lett. 122 207001
Google Scholar
[81] Machida T, Sun Y, Pyon S, Takeda S, Kohsaka Y, Hanaguri T, Sasagawa T, Tamegai T 2019 Nat. Mater. 18 811
Google Scholar
[82] Mourik V, Zuo K, Frolov S M, Plissard S R, Bakkers E P A M, Kouwenhoven L P 2012 Science 336 1003
Google Scholar
[83] Deng M T, Yu C L, Huang G Y, Larsson M, Caroff P, Xu H Q 2012 Nano Lett. 12 6414
Google Scholar
[84] Xu J P, Wang M X, Liu Z L, Ge J F, Yang X, Liu C, Xu Z A, Guan D, Gao C L, Qian D, Liu Y, Wang Q H, Zhang F C, Xue Q K, Jia J F 2015 Phys. Rev. Lett. 114 017001
Google Scholar
[85] Sun H H, Zhang K W, Hu L H, Li C, Wang G Y, Ma H Y, Xu Z A, Gao C L, Guan D D, Li Y Y, Liu C, Qian D, Zhou Y, Fu L, Li S C, Zhang F C, Jia J F 2016 Phys. Rev. Lett. 116 257003
Google Scholar
[86] 何映萍, 洪健松, 刘雄军 2020 物理学报 69 110302
Google Scholar
He Y P, Hong J S, Liu X J 2020 Acta Phys. Sin. 69 110302
Google Scholar
[87] Strübi G, Belzig W, Choi M S, Bruder C 2011 Phys. Rev. Lett. 107 136403
Google Scholar
[88] Chung S B, Qi X L, Maciejko J, Zhang S C 2011 Phys. Rev. B 83 100512
Google Scholar
[89] Wang J, Zhou Q, Lian B, Zhang S-C 2015 Phys. Rev. B 92 064520
Google Scholar
[90] Maciejko J, Qi X L, Drew H D, Zhang S C 2010 Phys. Rev. Lett. 105 166803
Google Scholar
[91] Wang J, Lian B, Zhang S C 2014 Phys. Rev. B 89 085106
Google Scholar
[92] Yan Q, Li H, Zeng J, Sun Q F, Xie X C 2021 Commun. Phys. 4 239
Google Scholar
[93] Zhang X, Liu F 2021 Phys. Rev. B 103 024405
Google Scholar
[94] Chen L, Cao Z, He K, Liu X, Liu D E 2023 Phys. Rev. B 107 165405
Google Scholar
[95] Klimovskikh I I, Otrokov M M, Estyunin D, Eremeev S V, Filnov S O, Koroleva A, Shevchenko E, Voroshnin V, Rybkin A G, Rusinov I P, Blanco-Rey M, Hoffmann M, Aliev Z S, Babanly M B, Amiraslanov I R, Abdullayev N A, Zverev V N, Kimura A, Tereshchenko O E, Kokh K A, Petaccia L, Di Santo G, Ernst A, Echenique P M, Mamedov N T, Shikin A M, Chulkov E V 2020 npj Quantum Mater. 5 54
Google Scholar
[96] Chen P, Yao Q, Xu J, Sun Q, Grutter A J, Quarterman P, Balakrishnan P P, Kinane C J, Caruana A J, Langridge S, Li A, Achinuq B, Heppell E, Ji Y, Liu S, Cui B, Liu J, Huang P, Liu Z, Yu G, Xiu F, Hesjedal T, Zou J, Han X, Zhang H, Yang Y, Kou X 2023 Nat. Electron. 6 18
Google Scholar
[97] Tian S, Gao S, Nie S, Qian Y, Gong C, Fu Y, Li H, Fan W, Zhang P, Kondo T, Shin S, Adell J, Fedderwitz H, Ding H, Wang Z, Qian T, Lei H 2020 Phys. Rev. B 102 035144
Google Scholar
[98] Hu C, Ding L, Gordon K N, Ghosh B, Tien H-J, Li H, Linn A G, Lien S W, Huang C Y, Mackey S, Liu J, Reddy P V S, Singh B, Agarwal A, Bansil A, Song M, Li D, Xu S Y, Lin H, Cao H, Chang T R, Dessau D, Ni N 2020 Science advances 6 eaba4275
Google Scholar
[99] Wu J, Liu F, Liu C, Wang Y, Li C, Lu Y, Matsuishi S, Hosono H 2020 Adv. Mater. 32 2001815
Google Scholar
[100] Shi M Z, Lei B, Zhu C S, Ma D H, Cui J H, Sun Z L, Ying J J, Chen X H 2019 Phys. Rev. B 100 155144
Google Scholar
[101] Ding L, Hu C, Ye F, Feng E, Ni N, Cao H 2020 Phys. Rev. B 101 020412
Google Scholar
[102] Hu Y, Xu L, Shi M, Luo A, Peng S, Wang Z Y, Ying J J, Wu T, Liu Z K, Zhang C F, Chen Y L, Xu G, Chen X H, He J F 2020 Phys. Rev. B 101 161113
Google Scholar
[103] Jo N H, Wang L L, Slager R J, Yan J, Wu Y, Lee K, Schrunk B, Vishwanath A, Kaminski A 2020 Phys. Rev. B 102 045130
Google Scholar
[104] Zhang R X, Wu F, Das Sarma S 2020 Phys. Rev. Lett. 124 136407
Google Scholar
[105] Yan J Q, Liu Y H, Parker D S, Wu Y, Aczel A A, Matsuda M, McGuire M A, Sales B C 2020 Phys. Rev. Mater. 4 054202
Google Scholar
[106] Hu C, Gordon K N, Liu P, Liu J, Zhou X, Hao P, Narayan D, Emmanouilidou E, Sun H, Liu Y, Brawer H, Ramirez A P, Ding L, Cao H, Liu Q, Dessau D, Ni N 2020 Nat. Commun. 11 97
Google Scholar
[107] Vidal R C, Zeugner A, Facio J I, Ray R, Haghighi M H, Wolter A U B, Corredor Bohorquez L T, Caglieris F, Moser S, Figgemeier T, Peixoto T R F, Vasili H B, Valvidares M, Jung S, Cacho C, Alfonsov A, Mehlawat K, Kataev V, Hess C, Richter M, Büchner B, van den Brink J, Ruck M, Reinert F, Bentmann H, Isaeva A 2019 Phys. Rev. X 9 041065
Google Scholar
[108] He K 2020 npj Quantum Mater. 5 90
Google Scholar
[109] Xie H K, Wang D H, Cai Z X, Chen B, Guo J W, Naveed M, Zhang S, Zhang M H, Wang X F, Fei F C, Zhang H J, Song F Q 2020 Appl. Phys. Lett. 116 221902
Google Scholar
[110] Xu X, Yang S, Wang H, Guzman R, Gao Y, Zhu Y, Peng Y, Zang Z, Xi M, Tian S, Li Y, Lei H, Luo Z, Yang J, Wang Y, Xia T, Zhou W, Huang Y, Ye Y 2022 Nat. Commun. 13 7646
Google Scholar
[111] Wu X, Li J, Ma X M, Zhang Y, Liu Y, Zhou C-S, Shao J, Wang Q, Hao Y J, Feng Y, Schwier E F, Kumar S, Sun H, Liu P, Shimada K, Miyamoto K, Okuda T, Wang K, Xie M, Chen C, Liu Q, Liu C, Zhao Y 2020 Phys. Rev. X 10 031013
Google Scholar
[112] Rienks E D L, Wimmer S, Sánchez-Barriga J, Caha O, Mandal P S, Růžička J, Ney A, Steiner H, Volobuev V V, Groiss H, Albu M, Kothleitner G, Michalička J, Khan S A, Minár J, Ebert H, Bauer G, Freyse F, Varykhalov A, Rader O, Springholz G 2019 Nature 576 423
Google Scholar
[113] Lu R, Sun H, Kumar S, Wang Y, Gu M, Zeng M, Hao Y J, Li J, Shao J, Ma X M, Hao Z, Zhang K, Mansuer W, Mei J, Zhao Y, Liu C, Deng K, Huang W, Shen B, Shimada K, Schwier E F, Liu C, Liu Q, Chen C 2021 Phys. Rev. X 11 011039
Google Scholar
[114] Sun H, Xia B, Chen Z, Zhang Y, Liu P, Yao Q, Tang H, Zhao Y, Xu H, Liu Q 2019 Phys. Rev. Lett. 123 096401
Google Scholar
[115] Gu M, Li J, Sun H, Zhao Y, Liu C, Liu J, Lu H, Liu Q 2021 Nat. Commun. 12 3524
Google Scholar
[116] Chen B, Fei F, Zhang D, Zhang B, Liu W, Zhang S, Wang P, Wei B, Zhang Y, Zuo Z, Guo J, Liu Q, Wang Z, Wu X, Zong J, Xie X, Chen W, Sun Z, Wang S, Zhang Y, Zhang M, Wang X, Song F, Zhang H, Shen D, Wang B 2019 Nat. Commun. 10 4469
Google Scholar
[117] Chong S K, Lei C, Lee S H, Jaroszynski J, Mao Z, Macdonald A H, Wang K 2022 arXiv: 2208.13332v1 [cond-mat. mes-hall
[118] Glazkova D A, Estyunin D A, Klimovskikh I I, Makarova T P, Tereshchenko O E, Kokh K A, Golyashov V A, Koroleva A V, Shikin A M 2022 JETP Lett. 115 286
Google Scholar
[119] Liu Y, Wang L L, Zheng Q, Huang Z, Wang X, Chi M, Wu Y, Chakoumakos B C, McGuire M A, Sales B C, Wu W, Yan J 2021 Phys. Rev. X 11 021033
Google Scholar
[120] Ge W, Sass P M, Yan J, Lee S H, Mao Z, Wu W 2021 Phys. Rev. B 103 134403
Google Scholar
[121] Murakami T, Nambu Y, Koretsune T, Xiangyu G, Yamamoto T, Brown C M, Kageyama H 2019 Phys. Rev. B 100 195103
Google Scholar
[122] Glazkova D A, Estyunin D A, Klimovskikh I I, Rybkina A A, Golovchanskiy I A, Tereshchenko O E, Kokh K A, Shchetinin I V, Golyashov V A, Shikin A M 2022 JETP Lett. 116 817
Google Scholar
[123] Riberolles S X M, Zhang Q, Gordon E, Butch N P, Ke L, Yan J Q, McQueeney R J 2021 Phys. Rev. B 104 064401
Google Scholar
[124] Yan J Q, Okamoto S, McGuire M A, May A F, McQueeney R J, Sales B C 2019 Phys. Rev. B 100 104409
Google Scholar
[125] Lei C, Chen S, MacDonald A H 2020 Proc. Natl. Acad. Sci. U.S.A. 117 27224
Google Scholar
[126] Wimmer S, Sánchez-Barriga J, Küppers P, Ney A, Schierle E, Freyse F, Caha O, Michalička J, Liebmann M, Primetzhofer D, Hoffman M, Ernst A, Otrokov M M, Bihlmayer G, Weschke E, Lake B, Chulkov E V, Morgenstern M, Bauer G, Springholz G, Rader O 2021 Adv. Mater. 33 2102935
Google Scholar
[127] Lee S H, Graf D, Min L, Zhu Y, Yi H, Ciocys S, Wang Y, Choi E S, Basnet R, Fereidouni A, Wegner A, Zhao Y F, Verlinde K, He J, Redwing R, Gopalan V, Churchill H O H, Lanzara A, Samarth N, Chang C Z, Hu J, Mao Z Q 2021 Phys. Rev. X 11 031032
Google Scholar
[128] Wang H H, Luo X G, Shi M Z, Peng K L, Lei B, Cui J H, Ma D H, Zhuo W Z, Ying J J, Wang Z Y, Chen X H 2021 Phys. Rev. B 103 085126
Google Scholar
[129] Ma X M, Zhao Y, Zhang K, Kumar S, Lu R, Li J, Yao Q, Shao J, Hou F, Wu X, Zeng M, Hao Y J, Hao Z, Wang Y, Liu X R, Shen H, Sun H, Mei J, Miyamoto K, Okuda T, Arita M, Schwier E F, Shimada K, Deng K, Liu C, Lin J, Zhao Y, Chen C, Liu Q, Liu C 2021 Phys. Rev. B 103 L121112
Google Scholar
[130] Lee S H, Zhu Y, Wang Y, Miao L, Pillsbury T, Yi H, Kempinger S, Hu J, Heikes C A, Quarterman P, Ratcliff W, Borchers J A, Zhang H, Ke X, Graf D, Alem N, Chang C Z, Samarth N, Mao Z 2019 Phys. Rev. Res. 1 012011
Google Scholar
[131] Shikin A M, Estyunin D A, Klimovskikh I I, Filnov S O, Schwier E F, Kumar S, Miyamoto K, Okuda T, Kimura A, Kuroda K, Yaji K, Shin S, Takeda Y, Saitoh Y, Aliev Z S, Mamedov N T, Amiraslanov I R, Babanly M B, Otrokov M M, Eremeev S V, Chulkov E V 2020 Sci. Rep. 10 13226
Google Scholar
[132] Vidal R C, Bentmann H, Peixoto T R F, Zeugner A, Moser S, Min C H, Schatz S, Kißner K, Ünzelmann M, Fornari C I, Vasili H B, Valvidares M, Sakamoto K, Mondal D, Fujii J, Vobornik I, Jung S, Cacho C, Kim T K, Koch R J, Jozwiak C, Bostwick A, Denlinger J D, Rotenberg E, Buck J, Hoesch M, Diekmann F, Rohlf S, Kalläne M, Rossnagel K, Otrokov M M, Chulkov E V, Ruck M, Isaeva A, Reinert F 2019 Phys. Rev. B 100 121104
Google Scholar
[133] Chen Y J, Xu L X, Li J H, Li Y W, Wang H Y, Zhang C F, Li H, Wu Y, Liang A J, Chen C, Jung S W, Cacho C, Mao Y H, Liu S, Wang M X, Guo Y F, Xu Y, Liu Z K, Yang L X, Chen Y L 2019 Phys. Rev. X 9 041040
Google Scholar
[134] Hao Y J, Liu P, Feng Y, Ma X M, Schwier E F, Arita M, Kumar S, Hu C, Lu R e, Zeng M, Wang Y, Hao Z, Sun H Y, Zhang K, Mei J, Ni N, Wu L, Shimada K, Chen C, Liu Q, Liu C 2019 Phys. Rev. X 9 041038
Google Scholar
[135] Li H, Gao S Y, Duan S F, Xu Y F, Zhu K J, Tian S J, Gao J C, Fan W H, Rao Z C, Huang J R, Li J J, Yan D Y, Liu Z T, Liu W L, Huang Y B, Li Y L, Liu Y, Zhang G B, Zhang P, Kondo T, Shin S, Lei H C, Shi Y G, Zhang W T, Weng H M, Qian T, Ding H 2019 Phys. Rev. X 9 041039
Google Scholar
[136] Swatek P, Wu Y, Wang L L, Lee K, Schrunk B, Yan J, Kaminski A 2020 Phys. Rev. B 101 161109
Google Scholar
[137] Nevola D, Li H X, Yan J Q, Moore R G, Lee H N, Miao H, Johnson P D 2020 Phys. Rev. Lett. 125 117205
Google Scholar
[138] Yang Z, Zhang H 2022 New J. Phys. 24 073034
Google Scholar
[139] Yasuda K, Mogi M, Yoshimi R, Tsukazaki A, Takahashi K S, Kawasaki M, Kagawa F, Tokura Y 2017 Science 358 1311
Google Scholar
[140] Garrity K F, Chowdhury S, Tavazza F M 2021 Phys. Rev. Mater. 5 024207
Google Scholar
[141] Sass P M, Kim J, Vanderbilt D, Yan J, Wu W 2020 Phys. Rev. Lett. 125 037201
Google Scholar
[142] Sass P M, Ge W, Yan J, Obeysekera D, Yang J J, Wu W 2020 Nano Lett. 20 2609
Google Scholar
[143] Shikin A M, Estyunin D A, Zaitsev N L, Glazkova D, Klimovskikh I I, Filnov S O, Rybkin A G, Schwier E F, Kumar S, Kimura A, Mamedov N, Aliev Z, Babanly M B, Kokh K, Tereshchenko O E, Otrokov M M, Chulkov E V, Zvezdin K A, Zvezdin A K 2021 Phys. Rev. B 104 115168
Google Scholar
[144] Lai Y, Ke L, Yan J, McDonald R D, McQueeney R J 2021 Phys. Rev. B 103 184429
Google Scholar
[145] Garnica M, Otrokov M M, Aguilar P C, Klimovskikh I I, Estyunin D, Aliev Z S, Amiraslanov I R, Abdullayev N A, Zverev V N, Babanly M B, Mamedov N T, Shikin A M, Arnau A, de Parga A L V, Chulkov E V, Miranda R 2022 npj Quantum Mater. 7 7
Google Scholar
[146] Ma X M, Chen Z, Schwier E F, Zhang Y, Hao Y J, Kumar S, Lu R, Shao J, Jin Y, Zeng M, Liu X R, Hao Z, Zhang K, Mansuer W, Song C, Wang Y, Zhao B, Liu C, Deng K, Mei J, Shimada K, Zhao Y, Zhou X, Shen B, Huang W, Liu C, Xu H, Chen C 2020 Phys. Rev. B 102 245136
Google Scholar
[147] Wang D H, Wang H Q, Xing D Y, Zhang H J 2022 arXiv: 2205.08204v1 [cond-mat. mes-hall
[148] Tan H, Yan B 2023 Phys. Rev. Lett. 130 126702
Google Scholar
[149] Bai Y, Li Y, Luan J, Liu R, Song W, Chen Y, Ji P F, Zhang Q, Meng F, Tong B, Li L, Jiang Y, Gao Z, Gu L, Zhang J, Wang Y, Xue Q K, He K, Feng Y, Feng X 2022 arXiv: 2206.03773v2 [cond-mat. mes-hall
[150] Liu S, Yu J, Zhang E, Li Z, Sun Q, Zhang Y, Li L, Zhao M, Leng P, Cao X, Zou J, Kou X, Zang J, Xiu F 2021 arXiv: 2110.00540v1 [cond-mat. mtrl-sci
[151] Zhao Y F, Zhou L J, Wang F, Wang G, Song T, Ovchinnikov D, Yi H, Mei R, Wang K, Chan M H W, Liu C X, Xu X, Chang C Z 2021 Nano Lett. 21 7691
Google Scholar
[152] Xu Y, Elcoro L, Song Z D, Wieder B J, Vergniory M G, Regnault N, Chen Y, Felser C, Bernevig B A 2020 Nature 586 702
Google Scholar
[153] Su Y, Hu J, Cai X, Shi W, Xia Y, Xu Y, Xu X, Chen Y, Li G 2022 npj Comput. Mater. 8 261
Google Scholar
[154] Choudhary K, Garrity K F, Ghimire N J, Anand N, Tavazza F 2021 Phys. Rev. B 103 155131
Google Scholar
[155] Watanabe H, Po H C, Vishwanath A 2018 Sci. Adv. 4 eaat8685
Google Scholar
[156] Elcoro L, Wieder B J, Song Z, Xu Y, Bradlyn B, Bernevig B A 2021 Nat. Commun. 12 5965
Google Scholar
-
图 1 磁性拓扑绝缘体奇异拓扑性质及应用前景[23] (a) 量子反常霍尔效应[9]; (b) 轴子绝缘体态[24,25]; (c) 太赫兹辐射[21]; (d) 手性马约拉纳费米子及拓扑量子计算[26]
Figure 1. Singular topological properties and application prospects of magnetic topological insulators[23]: (a) Quantum anomalous Hall effect[9]; (b) axion insulator state with antiparallel magnetization [24,25]; (c) terahertz radiation[21]; (d) chiral Majorana fermions and topological quantum computation[26].
图 2 MBT的晶体结构图[15,29] (a) 由两个SLs组成反铁磁MBT的原子结构图[15]. 每个SL内为铁磁性, 相邻SL之间为反铁磁性. 红色箭头表示Mn原子磁矩; 绿色箭头表示空间平移算符τ1/2; (b) 在Si(111)衬底上生长的5 SLs MBT薄膜的横截面HAADF-STEM图像[29]; (c) HAADF-STEM沿(b)中Cut 1的强度分布图[29]; (d)在Si(111)上生长的MBT薄膜的XRD图[29]
Figure 2. Crystal structure in MBT[15,29]: (a) Atomic structure of MBT consists of two SLs, whose magnetic states are ferromagnetic within each SL and antiferromagnetic between adjacent SLs[15]. The red arrows represent the spin moment of Mn atom. The green arrow denotes for the half translation operator τ1/2; (b) cross-sectional HAADF-STEM image of a 5 SLs MBT films grown on a Si(111) substrate[29]; (c) intensity distribution of HAADF-STEM along Cut 1 in panel (b)[29]; (d) XRD pattern of MBT films grown on Si(111)[29].
图 3 MBT磁相图 (a) MBT薄膜的层数-温度相图[47]; PM代表顺磁区域; A-type AFM代表A型反铁磁区域; (b) 12 SLs MBT/Pt异质结自旋排列随温度和外加磁场的变化[39]; (c) 2 SLs MBT的温度-磁场相图[47]; (d) 3 SLs MBT的温度-磁场相图[47]; 白色圆圈和三角形分别表示在不同温度下计算得到的spin-flop场μ0H1和spin-flip场μ0H2, 即A-AFM/CAFM相和CAFM/FM相的临界转变点; 实验数据点用灰色的球和三角形表示
Figure 3. Magnetic phase diagram of MBT: (a) Layer number-temperature phase diagram of the MBT flake[47]; PM denotes the region where the flake is paramagnetic; A-type AFM denotes the region where adjacent ferromagnetic SLs couple antiferromagnetically with each other; (b) spin configuration of 12 SLs MBT/Pt bilayer as functions of temperature and external magnetic field[39]; (c) temperature-field phase diagram of 2 SLs MBT[47]; (d) temperature-field phase diagram of 3 SLs MBT[47]; the white circles and triangles represent the calculated spin-flop field μ0H1 and spin-flip field μ0H2, respectively, at various temperatures, showing the boundaries of the A-type AFM/CAFM phase and CAFM/FM phase; the experimental data points are represented using grey spheres and triangles with corresponding error bars.
图 4 MBT表面态能带结构图 (a) 保留S对称性的表面具有无能隙的Dirac锥表面态示意图[42]; (b) MBT(011)方向表面 (保持S对称性)的表面态[15,42]; (c) 破坏S对称性的表面具有有能隙的Dirac锥表面态[42]; (d) MBT (111)方向表面(破坏S对称性)的表面态[15,42]
Figure 4. Energy band structure of MBT with surface state: (a) The Dirac surface state is gapless due to the S symmetry[42]; (b) the surface state on MBT(011) with S symmetry[15,42]; (c) the Dirac surface state is fully gapped due to the S symmetry broken[42]; (d) the surface state on MBT(111) without S symmetry[15,42].
图 5 MBT丰富的拓扑量子态 (a) MBT薄膜(2D)和块体(3D)在不同磁化状态下丰富的拓扑量子态. QAH, 量子反常霍尔态; AI, 轴子绝缘体; QSH, 量子自旋霍尔态; TI, 拓扑绝缘体; WSM, Weyl半金属; DSM, Dirac半金属[16,48]. (b) MBT (110)面和 (111)面的无带隙和有带隙表面态能带结构[16,48]
Figure 5. Rich MBT topological quantum states. (a) MBT thin films (2D) and bulk (3D) have rich topological quantum states in different magnetic states. QAH, quantum anomalous Hall state; AI, axion insulator; QSH, quantum spin Hall state; TI, topological insulator; WSM, Weyl semimetal; DSM, Dirac semimetal[16,48]. (b) Surface states of the MBT (110) and (111) surfaces, which are gapless and gapped, respectively[16,48].
图 6 MBT量子反常霍尔效应 (a) 磁性拓扑绝缘体中表面态有带隙的能带结构示意图[24]; (b) 奇数层MBT本征量子反常霍尔绝缘体的示意图[16]; (c) 5 SLs的MBT样品零磁场下的量子反常霍尔效应[31]
Figure 6. Quantum anomalous Hall effect of MBT: (a) Schematic diagram of the energy band structure with a band gap in the surface state in a magnetic topological insulator[24]; (b) illustration of intrinsic QAH insulators in odd layers[16]; (c) quantum anomalous Hall effect under zero magnetic field in 5 SLs MBT[31].
图 8 MBT轴子绝缘体态[16,32] (a) 偶数层MBT本征轴子绝缘体的示意图[16]. 顶部和底部有带隙的表面具有半整数量子化的霍尔电导, 其符号在偶数层中相反, 导致C = 0; (b) 轴子绝缘态的ρxx和
$ \dfrac{{\rm{d}}{\rho }_{yx}}{{\rm{d}}H} $ 与栅极电压的依赖关系[32]; (c) 栅极电压Vg = 25 V时, 不同温度下纵向电阻率和霍尔电阻率随磁场强度的变化关系[32]Figure 8. Axion insulator state in MBT[16,32]: (a) Illustration of intrinsic axion insulators in even layers[16]. The intrinsically gapped surfaces on the top and bottom sides have half-quantized Hall conductances, whose signs are opposite in even layers, leading to C = 0 ; (b) gate dependence of ρxx and
$ \dfrac{{\rm{d}}{\rho }_{yx}}{{\rm{d}}H} $ in axion insulator state[32]; (c) longitudinal and Hall resistivities versus magnetic field strength at various temperatures with gate voltage Vg = 25 V[32].
图 7 MBT高陈数陈绝缘体态 (a) 5 SLs MBT门电压调控的反常霍尔效应[31]; (b) 5 SLs MBT的顶部和底部表面态的示意图[31]; (c) 10 SLs MBT中C = 2的高陈数陈绝缘体态的Ryx和Rxx与磁场和温度间的关系[33]; (d) 具有两个手性边缘态的高陈数陈绝缘态示意图; 灰色和绿色表示相邻SLs的MBT[33]; (e) 铁磁 MBT能带结构示意图, 其为磁性Weyl 半金属[33]; (f) 计算得到的MBT陈数随膜厚的变化函数[33]
Figure 7. High Chern number of Chern insulator MBT. (a) Anomalous Hall effect of 5 SLs MBT by gate voltage[31]. (b) Schematic band diagrams for the top and bottom surface states of this fivelayer sample[31]. (c) Temperature and magnetic field dependence of Ryx and Rxx in high-Chern-number Chern insulator states with C = 2 in 10 SLs MBT device[33]. (d) Schematic of high-Chern-number Chern insulator states with two chiral edge states across the band gap; gray and green indicate adjacent MBT SLs[33]. (e) Schematic diagram of band structure of the ferromagnetic MBT, which is a magnetic Weyl semimetal[33]. (f) Chern number as a function of film thickness in MBT[33].
图 9 MBT马约拉纳特性 (a) 无自旋Kitaev一维p波超导紧束缚链[69]; (b) 环上的拓扑p + ip超导体在其内外边界支持手性马约拉纳边缘模式[74]; (c) 无自旋二维p+ip超导体[75], 三维拓扑绝缘体靠近铁磁体(M↓)和超导体(S)时, 沿超导体和铁磁体边缘出现手性马约拉纳模式; (d) 在AFM TI和s波超导SC之间的界面边缘(灰色)的马约拉纳铰链模式(蓝色和红色箭头)[19]; (e) MBT薄膜与顶部表面的s波超导SC耦合[94]
Figure 9. Majorana characteristics in MBT. (a) Sketch of Kitaev one-dimensional p-wave superconducting tight binding chain without spin[69]. (b) The topological p + ip superconductor on an annulus supports chiral Majorana edge modes at its inner and outer boundaries[74]. (c) Spin free two-dimensional p + ip superconductors[75]. When the three-dimensional topological insulator is close to the ferromagnet (M↓) and superconductor (S), the chiral Majorana mode appears along the edge mode superconductor and ferromagnet. (d) Majorana hinge modes (blue and red arrows) at the interface edge (gray) between an AFM TI and an s-wave superconducting SC[19]. (e) The MBT thin film is coupled to s-wave superconducting SC on the top surface[94].
图 11 (MnBi2Te4)m(Bi2Te3)n体系丰富的拓扑物相 (a) (MnBi2Te4)m(Bi2Te3)n体系拓扑相图[114]. 灰色、黄色和蓝色分别代表平庸的绝缘体、量子自旋霍尔态和量子反常霍尔态; (b) Mn-Bi-Te体系随层间电子耦合和交换作用的不同展现丰富的拓扑物相[115]
Figure 11. Rich topological phase in (MnBi2Te4)m(Bi2Te3)n system: (a) Topological phase diagram in (MnBi2Te4)m(Bi2Te3)n system[114]. Gray, yellow, and blue represent normal insulators, quantum spin Hall states, and quantum anomalous Hall states, respectively; (b) phase diagram of the multilayer topological heterostructure Mn-Bi-Te systems in terms of relative spacing and magnetization[115]
图 12 Mn(Bi1–xSbx)2Te4的丰富物理现象及能带结构 (a) Mn(Bi1–xSbx)2Te4的n-p载流子转变和拓扑相变图[116]; (b) 不同Sb掺杂浓度的Mn(Bi1–xSbx)2Te4样品的ARPES测量的能带结构图[116,129]
Figure 12. Rich physical phenomena and band structure of Mn(Bi1–xSbx)2Te4: (a) n-p carrier transition and topological phase transition diagram of Mn(Bi1–xSbx)2Te4[116]; (b) band structure diagram of ARPES measurement of Mn(Bi1–xSbx)2Te4 samples with different Sb doping concentrations[116,129].
-
[1] Bernevig B A, Hughes T L, Zhang S C 2006 Science 314 1757
Google Scholar
[2] König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766
Google Scholar
[3] Fu L, Kane C L 2007 Phys. Rev. B 76 045302
Google Scholar
[4] Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J, Hasan M Z 2008 Nature 452 970
Google Scholar
[5] Zhang H, Liu C X, Qi X L, Dai X, Fang Z, Zhang S C 2009 Nat. Phys. 5 438
Google Scholar
[6] Pesin D, MacDonald A H 2012 Nat. Mater. 11 409
Google Scholar
[7] Rajamathi C R, Gupta U, Kumar N, Yang H, Sun Y, Suss V, Shekhar C, Schmidt M, Blumtritt H, Werner P, Yan B H, Parkin S, Felser C, Rao C N R 2017 Adv. Mater. 29 1606202
Google Scholar
[8] Kitaev A Y 2003 Ann. Phys. 303 2
Google Scholar
[9] Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang L L, Ji Z Q, Feng Y, Ji S, Chen X, Jia J, Dai X, Fang Z, Zhang S C, He K, Wang Y, Lu L, Ma X C, Xue Q K 2013 Science 340 167
Google Scholar
[10] Chang C Z, Zhao W, Kim D Y, Zhang H, Assaf B A, Heiman D, Zhang S C, Liu C, Chan M H W, Moodera J S 2015 Nat. Mater. 14 473
Google Scholar
[11] Mogi M, Kawamura M, Yoshimi R, Tsukazaki A, Kozuka Y, Shirakawa N, Takahashi K S, Kawasaki M, Tokura Y 2017 Nat. Mater. 16 516
Google Scholar
[12] Xiao D, Jiang J, Shin J H, Wang W, Wang F, Zhao Y F, Liu C, Wu W, Chan M H W, Samarth N, Chang C Z 2018 Phys. Rev. Lett. 120 056801
Google Scholar
[13] Lachman E O, Young A F, Richardella A, Cuppens J, Naren H R, Anahory Y, Meltzer A Y, Kandala A, Kempinger S, Myasoedov Y, Huber M E, Samarth N, Zeldov E 2015 Sci. Adv. 1 e1500740
Google Scholar
[14] Otrokov M M, Menshchikova T V, Vergniory M G, Rusinov I P, Yu Vyazovskaya A, Koroteev Y M, Bihlmayer G, Ernst A, Echenique P M, Arnau A, Chulkov E V 2017 2D Mater. 4 025082
Google Scholar
[15] Zhang D, Shi M, Zhu T, Xing D, Zhang H, Wang J 2019 Phys. Rev. Lett. 122 206401
Google Scholar
[16] Li J, Li Y, Du S, Wang Z, Gu B L, Zhang S C, He K, Duan W, Xu Y 2019 Sci. Adv. 5 eaaw5685
Google Scholar
[17] Otrokov M M, Rusinov I P, Blanco-Rey M, Hoffmann M, Vyazovskaya A Y, Eremeev S V, Ernst A, Echenique P M, Arnau A, Chulkov E V 2019 Phys. Rev. Lett. 122 107202
Google Scholar
[18] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
Google Scholar
[19] Peng Y, Xu Y 2019 Phys. Rev. B 99 195431
Google Scholar
[20] He Q L, Hughes T L, Armitage N P, Tokura Y, Wang K L 2022 Nat. Mater. 21 15
Google Scholar
[21] Chen X, Wang H, Liu H, Wang C, Wei G, Fang C, Wang H, Geng C, Liu S, Li P, Yu H, Zhao W, Miao J, Li Y, Wang L, Nie T, Zhao J, Wu X 2022 Adv. Mater. 34 2106172
Google Scholar
[22] Flensberg K, von Oppen F, Stern A 2021 Nat. Rev. Mater. 6 944
Google Scholar
[23] Wang Y, Ma X M, Hao Z, Cai Y, Rong H, Zhang F, Chen W, Zhang C, Lin J, Zhao Y, Liu C, Liu Q, Chen C 2023 Natl. Sci. Rev. DOI: 10.1093/nsr/nwad066
[24] Tokura Y, Yasuda K, Tsukazaki A 2019 Nat. Rev. Phys. 1 126
Google Scholar
[25] Mogi M, Kawamura M, Tsukazaki A, Yoshimi R, Takahashi K S, Kawasaki M, Tokura Y 2017 Sci. Adv. 3 eaao1669
Google Scholar
[26] Lian B, Sun X Q, Vaezi A, Qi X L, Zhang S C 2018 Proc. Natl. Acad. Sci. U. S. A. 115 10938
Google Scholar
[27] Mong R S K, Essin A M, Moore J E 2010 Phys. Rev. B 81 245209
Google Scholar
[28] Lee D S, Kim T H, Park C H, Chung C Y, Lim Y S, Seo W S, Park H H 2013 CrystEngComm 15 5532
Google Scholar
[29] Gong Y, Guo J, Li J, Zhu K, Liao M, Liu X, Zhang Q, Gu L, Tang L, Feng X, Zhang D, Li W, Song C, Wang L, Yu P, Chen X, Wang Y, Yao H, Duan W, Xu Y, Zhang S C, Ma X, Xue Q K, He K 2019 Chin. Phys. Lett. 36 076801
Google Scholar
[30] Otrokov M M, Klimovskikh I I, Bentmann H, Estyunin D, Zeugner A, Aliev Z S, Gass S, Wolter A U B, Koroleva A V, Shikin A M, Blanco-Rey M, Hoffmann M, Rusinov I P, Vyazovskaya A Y, Eremeev S V, Koroteev Y M, Kuznetsov V M, Freyse F, Sánchez-Barriga J, Amiraslanov I R, Babanly M B, Mamedov N T, Abdullayev N A, Zverev V N, Alfonsov A, Kataev V, Buchner B, Schwier E F, Kumar S, Kimura A, Petaccia L, Di Santo G, Vidal R C, Schatz S, Kissner K, Unzelmann M, Min C H, Moser S, Peixoto T R F, Reinert F, Ernst A, Echenique P M, Isaeva A, Chulkov E V 2019 Nature 576 416
Google Scholar
[31] Deng Y, Yu Y, Shi M Z, Guo Z, Xu Z, Wang J, Chen X H, Zhang Y 2020 Science 367 895
Google Scholar
[32] Liu C, Wang Y, Li H, Wu Y, Li Y, Li J, He K, Xu Y, Zhang J, Wang Y 2020 Nat. Mater. 19 522
Google Scholar
[33] Ge J, Liu Y, Li J, Li H, Luo T, Wu Y, Xu Y, Wang J 2020 Natl. Sci. Rev. 7 1280
Google Scholar
[34] Li Y, Liu C, Wang Y, Lian Z, Li H, Chun O, Zhang J, Wang Y 2021 arXiv: 2105.10390v1 [cond-mat. mtrl-sci
[35] Liu C, Wang Y, Yang M, Mao J, Li H, Li Y, Li J, Zhu H, Wang J, Li L, Wu Y, Xu Y, Zhang J, Wang Y 2021 Nat. Commun. 12 4647
Google Scholar
[36] Wu M, Tu D, Nie Y, Miao S, Gao W, Han Y, Zhu X, Zhou J, Ning W, Tian M 2022 Nano Lett. 22 73
Google Scholar
[37] Gao A, Liu Y F, Hu C, Qiu J X, Tzschaschel C, Ghosh B, Ho S C, Bérubé D, Chen R, Sun H, Zhang Z, Zhang X Y, Wang Y X, Wang N, Huang Z, Felser C, Agarwal A, Ding T, Tien H J, Akey A, Gardener J, Singh B, Watanabe K, Taniguchi T, Burch K S, Bell D C, Zhou B B, Gao W, Lu H Z, Bansil A, Lin H, Chang T R, Fu L, Ma Q, Ni N, Xu S Y 2021 Nature 595 521
Google Scholar
[38] Tai L, Chong S K, Zhang H, Zhang P, Deng P, Eckberg C, Qiu G, Dai B, He H, wu D, Xu S, Davydov A, Wang K 2021 arXiv: 2103.09878v1 [cond-mat. mtrl-sci
[39] Ye C, Xie X, Lü W, Huang K, Yang A J, Jiang S, Liu X, Zhu D, Qiu X, Tong M, Zhou T, Hsu C H, Chang G, Lin H, Li P, Yang K, Wang Z, Jiang T, Renshaw Wang X 2022 Nano Lett. 22 1366
Google Scholar
[40] Zhang Z, Wang N, Cao N, Wang A, Zhou X, Watanabe K, Taniguchi T, Yan B, Gao W B 2022 Nat. Commun. 13 6191
Google Scholar
[41] Bartram F M, Leng Y C, Wang Y, Liu L, Chen X, Peng H, Li H, Yu P, Wu Y, Lin M L, Zhang J, Tan P H, Yang L 2022 npj Quantum Mater. 7 84
Google Scholar
[42] 占国慧, 王怀强, 张海军 2020 物理 49 817
Google Scholar
Zhan G H, Wang H Q, Zhang H J 2020 Physics 49 817
Google Scholar
[43] 郭文锑, 黄璐, 许桂贵, 钟克华, 张健敏, 黄志高 2021 物理学报 70 047101
Google Scholar
Guo W T, Huang L, Xu G G, Zhong K H, Zhang J M, Huang Z G 2021 Acta Phys. Sin. 70 047101
Google Scholar
[44] Wang Y, Zhang F, Zeng M, Sun H, Hao Z, Cai Y, Rong H, Zhang C, Liu C, Ma X, Wang L, Guo S, Lin J, Liu Q, Liu C, Chen C 2023 Front. Phys. 18 21304
Google Scholar
[45] Li B, Yan J Q, Pajerowski D M, Gordon E, Nedić A M, Sizyuk Y, Ke L, Orth P P, Vaknin D, McQueeney R J 2020 Phys. Rev. Lett. 124 167204
Google Scholar
[46] Yan J Q, Zhang Q, Heitmann T, Huang Z, Chen K Y, Cheng J G, Wu W, Vaknin D, Sales B C, McQueeney R J 2019 Phys. Rev. Mater. 3 064202
Google Scholar
[47] Yang S, Xu X, Zhu Y, Niu R, Xu C, Peng Y, Cheng X, Jia X, Huang Y, Xu X, Lu J, Ye Y 2021 Phys. Rev. X 11 011003
Google Scholar
[48] Wang P, Ge J, Li J, Liu Y, Xu Y, Wang J 2021 The Innovation 2 100098
Google Scholar
[49] Li J, Wang C, Zhang Z, Gu B-L, Duan W, Xu Y 2019 Phys. Rev. B 100 121103
Google Scholar
[50] Deng H, Chen Z, Wołoś A, Konczykowski M, Sobczak K, Sitnicka J, Fedorchenko I V, Borysiuk J, Heider T, Pluciński Ł, Park K, Georgescu A B, Cano J, Krusin-Elbaum L 2021 Nat. Phys. 17 36
Google Scholar
[51] Fu H, Liu C X, Yan B 2020 Sci. Adv. 6 eaaz0948
Google Scholar
[52] Gao R, Qin G, Qi S, Qiao Z, Ren W 2021 Phys. Rev. Mater. 5 114201
Google Scholar
[53] Ying Z, Zhang S, Chen B, Jia B, Fei F, Zhang M, Zhang H, Wang X, Song F 2022 Phys. Rev. B 105 085412
Google Scholar
[54] Nomura K, Nagaosa N 2011 Phys. Rev. Lett. 106 166802
Google Scholar
[55] Li H, Jiang H, Chen C Z, Xie X C 2021 Phys. Rev. Lett. 126 156601
Google Scholar
[56] Tse W K, MacDonald A H 2010 Phys. Rev. Lett. 105 057401
Google Scholar
[57] Wu L, Salehi M, Koirala N, Moon J, Oh S, Armitage N P 2016 Science 354 1124
Google Scholar
[58] Wang J, Lian B, Qi X L, Zhang S C 2015 Phys. Rev. B 92 081107
Google Scholar
[59] Morimoto T, Furusaki A, Nagaosa N 2015 Phys. Rev. B 92 085113
Google Scholar
[60] Wilczek F 1987 Phys. Rev. Lett. 58 1799
Google Scholar
[61] Essin A M, Moore J E, Vanderbilt D 2009 Phys. Rev. Lett. 102 146805
Google Scholar
[62] Wang J 2020 Sci. Chin. -Phys. , Mech. Astron. 63 127031
Google Scholar
[63] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
Google Scholar
[64] Qi X L, Hughes T L, Zhang S C 2010 Phys. Rev. B 82 184516
Google Scholar
[65] 't Hooft G 1976 Phys. Rev. D 14 3421
Google Scholar
[66] Fu L, Kane C L 2008 Phys. Rev. Lett. 100 096407
Google Scholar
[67] Chen C, Jiang K, Zhang Y, Liu C, Liu Y, Wang Z, Wang J 2020 Nat. Phys. 16 536
Google Scholar
[68] Lutchyn R M, Sau J D, Das Sarma S 2010 Phys. Rev. Lett. 105 077001
Google Scholar
[69] Leijnse M, Flensberg K 2012 Semicond. Sci. Technol. 27 124003
Google Scholar
[70] Stone M, Roy R 2004 Phys. Rev. B 69 184511
Google Scholar
[71] Wang M X, Liu C, Xu J P, Yang F, Miao L, Yao M Y, Gao C L, Shen C, Ma X, Chen X, Xu Z A, Liu Y, Zhang S C, Qian D, Jia J F, Xue Q K 2012 Science 336 52
Google Scholar
[72] Fu L, Kane C L 2009 Phys. Rev. Lett. 102 216403
Google Scholar
[73] Sau J D, Lutchyn R M, Tewari S, Das Sarma S 2010 Phys. Rev. Lett. 104 040502
Google Scholar
[74] Alicea J 2012 Rep. Prog. Phys. 75 076501
Google Scholar
[75] Akhmerov A R, Nilsson J, Beenakker C W J 2009 Phys. Rev. Lett. 102 216404
Google Scholar
[76] Oreg Y, Refael G, von Oppen F 2010 Phys. Rev. Lett. 105 177002
Google Scholar
[77] Fu L, Kane C L 2009 Phys. Rev. B 79 161408
Google Scholar
[78] Zhang P, Yaji K, Hashimoto T, Ota Y, Kondo T, Okazaki K, Wang Z, Wen J, Gu G D, Ding H, Shin S 2018 Science 360 182
Google Scholar
[79] Kong L, Zhu S, Papaj M, Chen H, Cao L, Isobe H, Xing Y, Liu W, Wang D, Fan P, Sun Y, Du S, Schneeloch J, Zhong R, Gu G, Fu L, Gao H J, Ding H 2019 Nat. Phys. 15 1181
Google Scholar
[80] König E J, Coleman P 2019 Phys. Rev. Lett. 122 207001
Google Scholar
[81] Machida T, Sun Y, Pyon S, Takeda S, Kohsaka Y, Hanaguri T, Sasagawa T, Tamegai T 2019 Nat. Mater. 18 811
Google Scholar
[82] Mourik V, Zuo K, Frolov S M, Plissard S R, Bakkers E P A M, Kouwenhoven L P 2012 Science 336 1003
Google Scholar
[83] Deng M T, Yu C L, Huang G Y, Larsson M, Caroff P, Xu H Q 2012 Nano Lett. 12 6414
Google Scholar
[84] Xu J P, Wang M X, Liu Z L, Ge J F, Yang X, Liu C, Xu Z A, Guan D, Gao C L, Qian D, Liu Y, Wang Q H, Zhang F C, Xue Q K, Jia J F 2015 Phys. Rev. Lett. 114 017001
Google Scholar
[85] Sun H H, Zhang K W, Hu L H, Li C, Wang G Y, Ma H Y, Xu Z A, Gao C L, Guan D D, Li Y Y, Liu C, Qian D, Zhou Y, Fu L, Li S C, Zhang F C, Jia J F 2016 Phys. Rev. Lett. 116 257003
Google Scholar
[86] 何映萍, 洪健松, 刘雄军 2020 物理学报 69 110302
Google Scholar
He Y P, Hong J S, Liu X J 2020 Acta Phys. Sin. 69 110302
Google Scholar
[87] Strübi G, Belzig W, Choi M S, Bruder C 2011 Phys. Rev. Lett. 107 136403
Google Scholar
[88] Chung S B, Qi X L, Maciejko J, Zhang S C 2011 Phys. Rev. B 83 100512
Google Scholar
[89] Wang J, Zhou Q, Lian B, Zhang S-C 2015 Phys. Rev. B 92 064520
Google Scholar
[90] Maciejko J, Qi X L, Drew H D, Zhang S C 2010 Phys. Rev. Lett. 105 166803
Google Scholar
[91] Wang J, Lian B, Zhang S C 2014 Phys. Rev. B 89 085106
Google Scholar
[92] Yan Q, Li H, Zeng J, Sun Q F, Xie X C 2021 Commun. Phys. 4 239
Google Scholar
[93] Zhang X, Liu F 2021 Phys. Rev. B 103 024405
Google Scholar
[94] Chen L, Cao Z, He K, Liu X, Liu D E 2023 Phys. Rev. B 107 165405
Google Scholar
[95] Klimovskikh I I, Otrokov M M, Estyunin D, Eremeev S V, Filnov S O, Koroleva A, Shevchenko E, Voroshnin V, Rybkin A G, Rusinov I P, Blanco-Rey M, Hoffmann M, Aliev Z S, Babanly M B, Amiraslanov I R, Abdullayev N A, Zverev V N, Kimura A, Tereshchenko O E, Kokh K A, Petaccia L, Di Santo G, Ernst A, Echenique P M, Mamedov N T, Shikin A M, Chulkov E V 2020 npj Quantum Mater. 5 54
Google Scholar
[96] Chen P, Yao Q, Xu J, Sun Q, Grutter A J, Quarterman P, Balakrishnan P P, Kinane C J, Caruana A J, Langridge S, Li A, Achinuq B, Heppell E, Ji Y, Liu S, Cui B, Liu J, Huang P, Liu Z, Yu G, Xiu F, Hesjedal T, Zou J, Han X, Zhang H, Yang Y, Kou X 2023 Nat. Electron. 6 18
Google Scholar
[97] Tian S, Gao S, Nie S, Qian Y, Gong C, Fu Y, Li H, Fan W, Zhang P, Kondo T, Shin S, Adell J, Fedderwitz H, Ding H, Wang Z, Qian T, Lei H 2020 Phys. Rev. B 102 035144
Google Scholar
[98] Hu C, Ding L, Gordon K N, Ghosh B, Tien H-J, Li H, Linn A G, Lien S W, Huang C Y, Mackey S, Liu J, Reddy P V S, Singh B, Agarwal A, Bansil A, Song M, Li D, Xu S Y, Lin H, Cao H, Chang T R, Dessau D, Ni N 2020 Science advances 6 eaba4275
Google Scholar
[99] Wu J, Liu F, Liu C, Wang Y, Li C, Lu Y, Matsuishi S, Hosono H 2020 Adv. Mater. 32 2001815
Google Scholar
[100] Shi M Z, Lei B, Zhu C S, Ma D H, Cui J H, Sun Z L, Ying J J, Chen X H 2019 Phys. Rev. B 100 155144
Google Scholar
[101] Ding L, Hu C, Ye F, Feng E, Ni N, Cao H 2020 Phys. Rev. B 101 020412
Google Scholar
[102] Hu Y, Xu L, Shi M, Luo A, Peng S, Wang Z Y, Ying J J, Wu T, Liu Z K, Zhang C F, Chen Y L, Xu G, Chen X H, He J F 2020 Phys. Rev. B 101 161113
Google Scholar
[103] Jo N H, Wang L L, Slager R J, Yan J, Wu Y, Lee K, Schrunk B, Vishwanath A, Kaminski A 2020 Phys. Rev. B 102 045130
Google Scholar
[104] Zhang R X, Wu F, Das Sarma S 2020 Phys. Rev. Lett. 124 136407
Google Scholar
[105] Yan J Q, Liu Y H, Parker D S, Wu Y, Aczel A A, Matsuda M, McGuire M A, Sales B C 2020 Phys. Rev. Mater. 4 054202
Google Scholar
[106] Hu C, Gordon K N, Liu P, Liu J, Zhou X, Hao P, Narayan D, Emmanouilidou E, Sun H, Liu Y, Brawer H, Ramirez A P, Ding L, Cao H, Liu Q, Dessau D, Ni N 2020 Nat. Commun. 11 97
Google Scholar
[107] Vidal R C, Zeugner A, Facio J I, Ray R, Haghighi M H, Wolter A U B, Corredor Bohorquez L T, Caglieris F, Moser S, Figgemeier T, Peixoto T R F, Vasili H B, Valvidares M, Jung S, Cacho C, Alfonsov A, Mehlawat K, Kataev V, Hess C, Richter M, Büchner B, van den Brink J, Ruck M, Reinert F, Bentmann H, Isaeva A 2019 Phys. Rev. X 9 041065
Google Scholar
[108] He K 2020 npj Quantum Mater. 5 90
Google Scholar
[109] Xie H K, Wang D H, Cai Z X, Chen B, Guo J W, Naveed M, Zhang S, Zhang M H, Wang X F, Fei F C, Zhang H J, Song F Q 2020 Appl. Phys. Lett. 116 221902
Google Scholar
[110] Xu X, Yang S, Wang H, Guzman R, Gao Y, Zhu Y, Peng Y, Zang Z, Xi M, Tian S, Li Y, Lei H, Luo Z, Yang J, Wang Y, Xia T, Zhou W, Huang Y, Ye Y 2022 Nat. Commun. 13 7646
Google Scholar
[111] Wu X, Li J, Ma X M, Zhang Y, Liu Y, Zhou C-S, Shao J, Wang Q, Hao Y J, Feng Y, Schwier E F, Kumar S, Sun H, Liu P, Shimada K, Miyamoto K, Okuda T, Wang K, Xie M, Chen C, Liu Q, Liu C, Zhao Y 2020 Phys. Rev. X 10 031013
Google Scholar
[112] Rienks E D L, Wimmer S, Sánchez-Barriga J, Caha O, Mandal P S, Růžička J, Ney A, Steiner H, Volobuev V V, Groiss H, Albu M, Kothleitner G, Michalička J, Khan S A, Minár J, Ebert H, Bauer G, Freyse F, Varykhalov A, Rader O, Springholz G 2019 Nature 576 423
Google Scholar
[113] Lu R, Sun H, Kumar S, Wang Y, Gu M, Zeng M, Hao Y J, Li J, Shao J, Ma X M, Hao Z, Zhang K, Mansuer W, Mei J, Zhao Y, Liu C, Deng K, Huang W, Shen B, Shimada K, Schwier E F, Liu C, Liu Q, Chen C 2021 Phys. Rev. X 11 011039
Google Scholar
[114] Sun H, Xia B, Chen Z, Zhang Y, Liu P, Yao Q, Tang H, Zhao Y, Xu H, Liu Q 2019 Phys. Rev. Lett. 123 096401
Google Scholar
[115] Gu M, Li J, Sun H, Zhao Y, Liu C, Liu J, Lu H, Liu Q 2021 Nat. Commun. 12 3524
Google Scholar
[116] Chen B, Fei F, Zhang D, Zhang B, Liu W, Zhang S, Wang P, Wei B, Zhang Y, Zuo Z, Guo J, Liu Q, Wang Z, Wu X, Zong J, Xie X, Chen W, Sun Z, Wang S, Zhang Y, Zhang M, Wang X, Song F, Zhang H, Shen D, Wang B 2019 Nat. Commun. 10 4469
Google Scholar
[117] Chong S K, Lei C, Lee S H, Jaroszynski J, Mao Z, Macdonald A H, Wang K 2022 arXiv: 2208.13332v1 [cond-mat. mes-hall
[118] Glazkova D A, Estyunin D A, Klimovskikh I I, Makarova T P, Tereshchenko O E, Kokh K A, Golyashov V A, Koroleva A V, Shikin A M 2022 JETP Lett. 115 286
Google Scholar
[119] Liu Y, Wang L L, Zheng Q, Huang Z, Wang X, Chi M, Wu Y, Chakoumakos B C, McGuire M A, Sales B C, Wu W, Yan J 2021 Phys. Rev. X 11 021033
Google Scholar
[120] Ge W, Sass P M, Yan J, Lee S H, Mao Z, Wu W 2021 Phys. Rev. B 103 134403
Google Scholar
[121] Murakami T, Nambu Y, Koretsune T, Xiangyu G, Yamamoto T, Brown C M, Kageyama H 2019 Phys. Rev. B 100 195103
Google Scholar
[122] Glazkova D A, Estyunin D A, Klimovskikh I I, Rybkina A A, Golovchanskiy I A, Tereshchenko O E, Kokh K A, Shchetinin I V, Golyashov V A, Shikin A M 2022 JETP Lett. 116 817
Google Scholar
[123] Riberolles S X M, Zhang Q, Gordon E, Butch N P, Ke L, Yan J Q, McQueeney R J 2021 Phys. Rev. B 104 064401
Google Scholar
[124] Yan J Q, Okamoto S, McGuire M A, May A F, McQueeney R J, Sales B C 2019 Phys. Rev. B 100 104409
Google Scholar
[125] Lei C, Chen S, MacDonald A H 2020 Proc. Natl. Acad. Sci. U.S.A. 117 27224
Google Scholar
[126] Wimmer S, Sánchez-Barriga J, Küppers P, Ney A, Schierle E, Freyse F, Caha O, Michalička J, Liebmann M, Primetzhofer D, Hoffman M, Ernst A, Otrokov M M, Bihlmayer G, Weschke E, Lake B, Chulkov E V, Morgenstern M, Bauer G, Springholz G, Rader O 2021 Adv. Mater. 33 2102935
Google Scholar
[127] Lee S H, Graf D, Min L, Zhu Y, Yi H, Ciocys S, Wang Y, Choi E S, Basnet R, Fereidouni A, Wegner A, Zhao Y F, Verlinde K, He J, Redwing R, Gopalan V, Churchill H O H, Lanzara A, Samarth N, Chang C Z, Hu J, Mao Z Q 2021 Phys. Rev. X 11 031032
Google Scholar
[128] Wang H H, Luo X G, Shi M Z, Peng K L, Lei B, Cui J H, Ma D H, Zhuo W Z, Ying J J, Wang Z Y, Chen X H 2021 Phys. Rev. B 103 085126
Google Scholar
[129] Ma X M, Zhao Y, Zhang K, Kumar S, Lu R, Li J, Yao Q, Shao J, Hou F, Wu X, Zeng M, Hao Y J, Hao Z, Wang Y, Liu X R, Shen H, Sun H, Mei J, Miyamoto K, Okuda T, Arita M, Schwier E F, Shimada K, Deng K, Liu C, Lin J, Zhao Y, Chen C, Liu Q, Liu C 2021 Phys. Rev. B 103 L121112
Google Scholar
[130] Lee S H, Zhu Y, Wang Y, Miao L, Pillsbury T, Yi H, Kempinger S, Hu J, Heikes C A, Quarterman P, Ratcliff W, Borchers J A, Zhang H, Ke X, Graf D, Alem N, Chang C Z, Samarth N, Mao Z 2019 Phys. Rev. Res. 1 012011
Google Scholar
[131] Shikin A M, Estyunin D A, Klimovskikh I I, Filnov S O, Schwier E F, Kumar S, Miyamoto K, Okuda T, Kimura A, Kuroda K, Yaji K, Shin S, Takeda Y, Saitoh Y, Aliev Z S, Mamedov N T, Amiraslanov I R, Babanly M B, Otrokov M M, Eremeev S V, Chulkov E V 2020 Sci. Rep. 10 13226
Google Scholar
[132] Vidal R C, Bentmann H, Peixoto T R F, Zeugner A, Moser S, Min C H, Schatz S, Kißner K, Ünzelmann M, Fornari C I, Vasili H B, Valvidares M, Sakamoto K, Mondal D, Fujii J, Vobornik I, Jung S, Cacho C, Kim T K, Koch R J, Jozwiak C, Bostwick A, Denlinger J D, Rotenberg E, Buck J, Hoesch M, Diekmann F, Rohlf S, Kalläne M, Rossnagel K, Otrokov M M, Chulkov E V, Ruck M, Isaeva A, Reinert F 2019 Phys. Rev. B 100 121104
Google Scholar
[133] Chen Y J, Xu L X, Li J H, Li Y W, Wang H Y, Zhang C F, Li H, Wu Y, Liang A J, Chen C, Jung S W, Cacho C, Mao Y H, Liu S, Wang M X, Guo Y F, Xu Y, Liu Z K, Yang L X, Chen Y L 2019 Phys. Rev. X 9 041040
Google Scholar
[134] Hao Y J, Liu P, Feng Y, Ma X M, Schwier E F, Arita M, Kumar S, Hu C, Lu R e, Zeng M, Wang Y, Hao Z, Sun H Y, Zhang K, Mei J, Ni N, Wu L, Shimada K, Chen C, Liu Q, Liu C 2019 Phys. Rev. X 9 041038
Google Scholar
[135] Li H, Gao S Y, Duan S F, Xu Y F, Zhu K J, Tian S J, Gao J C, Fan W H, Rao Z C, Huang J R, Li J J, Yan D Y, Liu Z T, Liu W L, Huang Y B, Li Y L, Liu Y, Zhang G B, Zhang P, Kondo T, Shin S, Lei H C, Shi Y G, Zhang W T, Weng H M, Qian T, Ding H 2019 Phys. Rev. X 9 041039
Google Scholar
[136] Swatek P, Wu Y, Wang L L, Lee K, Schrunk B, Yan J, Kaminski A 2020 Phys. Rev. B 101 161109
Google Scholar
[137] Nevola D, Li H X, Yan J Q, Moore R G, Lee H N, Miao H, Johnson P D 2020 Phys. Rev. Lett. 125 117205
Google Scholar
[138] Yang Z, Zhang H 2022 New J. Phys. 24 073034
Google Scholar
[139] Yasuda K, Mogi M, Yoshimi R, Tsukazaki A, Takahashi K S, Kawasaki M, Kagawa F, Tokura Y 2017 Science 358 1311
Google Scholar
[140] Garrity K F, Chowdhury S, Tavazza F M 2021 Phys. Rev. Mater. 5 024207
Google Scholar
[141] Sass P M, Kim J, Vanderbilt D, Yan J, Wu W 2020 Phys. Rev. Lett. 125 037201
Google Scholar
[142] Sass P M, Ge W, Yan J, Obeysekera D, Yang J J, Wu W 2020 Nano Lett. 20 2609
Google Scholar
[143] Shikin A M, Estyunin D A, Zaitsev N L, Glazkova D, Klimovskikh I I, Filnov S O, Rybkin A G, Schwier E F, Kumar S, Kimura A, Mamedov N, Aliev Z, Babanly M B, Kokh K, Tereshchenko O E, Otrokov M M, Chulkov E V, Zvezdin K A, Zvezdin A K 2021 Phys. Rev. B 104 115168
Google Scholar
[144] Lai Y, Ke L, Yan J, McDonald R D, McQueeney R J 2021 Phys. Rev. B 103 184429
Google Scholar
[145] Garnica M, Otrokov M M, Aguilar P C, Klimovskikh I I, Estyunin D, Aliev Z S, Amiraslanov I R, Abdullayev N A, Zverev V N, Babanly M B, Mamedov N T, Shikin A M, Arnau A, de Parga A L V, Chulkov E V, Miranda R 2022 npj Quantum Mater. 7 7
Google Scholar
[146] Ma X M, Chen Z, Schwier E F, Zhang Y, Hao Y J, Kumar S, Lu R, Shao J, Jin Y, Zeng M, Liu X R, Hao Z, Zhang K, Mansuer W, Song C, Wang Y, Zhao B, Liu C, Deng K, Mei J, Shimada K, Zhao Y, Zhou X, Shen B, Huang W, Liu C, Xu H, Chen C 2020 Phys. Rev. B 102 245136
Google Scholar
[147] Wang D H, Wang H Q, Xing D Y, Zhang H J 2022 arXiv: 2205.08204v1 [cond-mat. mes-hall
[148] Tan H, Yan B 2023 Phys. Rev. Lett. 130 126702
Google Scholar
[149] Bai Y, Li Y, Luan J, Liu R, Song W, Chen Y, Ji P F, Zhang Q, Meng F, Tong B, Li L, Jiang Y, Gao Z, Gu L, Zhang J, Wang Y, Xue Q K, He K, Feng Y, Feng X 2022 arXiv: 2206.03773v2 [cond-mat. mes-hall
[150] Liu S, Yu J, Zhang E, Li Z, Sun Q, Zhang Y, Li L, Zhao M, Leng P, Cao X, Zou J, Kou X, Zang J, Xiu F 2021 arXiv: 2110.00540v1 [cond-mat. mtrl-sci
[151] Zhao Y F, Zhou L J, Wang F, Wang G, Song T, Ovchinnikov D, Yi H, Mei R, Wang K, Chan M H W, Liu C X, Xu X, Chang C Z 2021 Nano Lett. 21 7691
Google Scholar
[152] Xu Y, Elcoro L, Song Z D, Wieder B J, Vergniory M G, Regnault N, Chen Y, Felser C, Bernevig B A 2020 Nature 586 702
Google Scholar
[153] Su Y, Hu J, Cai X, Shi W, Xia Y, Xu Y, Xu X, Chen Y, Li G 2022 npj Comput. Mater. 8 261
Google Scholar
[154] Choudhary K, Garrity K F, Ghimire N J, Anand N, Tavazza F 2021 Phys. Rev. B 103 155131
Google Scholar
[155] Watanabe H, Po H C, Vishwanath A 2018 Sci. Adv. 4 eaat8685
Google Scholar
[156] Elcoro L, Wieder B J, Song Z, Xu Y, Bradlyn B, Bernevig B A 2021 Nat. Commun. 12 5965
Google Scholar
DownLoad:
Catalog
Metrics
- Abstract views: 7026
- PDF Downloads: 559
- Cited By: 0
