Engineering of properties of low-dimensional materials via inhomogeneous strain

Wang Ya-Xun; Guo Di; Li Jian-Gao; Zhang Dong-Bo

doi:10.7498/aps.71.20220085

Abstract

Low-dimensional material represents a special structure of matter. The exploring of its novel properties is an important frontier subject in the fundamental research of condensed matter physics and material science. Owing to its small length scale in one or two dimensions, low-dimensional materials are usually flexible in structure. This feature together with the prompt electronic response to structural deformations enable us to modulate the material properties via a strain way. The main purpose of this paper is to introduce the recent research progress of obtaining novel physical properties by inhomogeneously straining two-dimensional materials, with focusing on two effects, i.e., pseudomagnetic field effect and the flexoelectric effect. Of course, the influence of inhomogeneous strains on electrons is not limited to these two effects. Fundamentally, an inhomogeneous deformation breaks the symmetry of crystalline structure. This may serve as a start point to delineate the structural-properties relation. First, the symmetry breaking can eliminate the degeneracy of energy levels. Second, the symmetry breaking will also cause the heterogeneity of electronic and phonon properties in different parts of the material.In the paper, we also introduce a special method named the generalized Bloch theorem that is suitable for dealing with the inhomogeneous strain patterns at an atomistic level. From the perspective of atomistic simulation, due to the breaking of translational symmetry, the standard quantum mechanical calculations encounter fundamental difficulties in dealing with an inhomogeneous strain, e.g., bending and torsion. The generalized Bloch method overcomes such an obstacle by considering rotational and/or screw symmetries given by bending and/or torsion in solving the eigenvalue problem. As such, quantum mechanical calculations can be still conducted with a relatively small number of atoms.

Keywords:

Authors and contacts

College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China

Corresponding author: Zhang Dong-Bo, dbzhang@bnu.edu.cn

Funds: Project supported by the National Key R&D Program of China (Grant No. 2017YFA0303400), the National Natural Science Foundation of China (Grant Nos. 11674022, 11874088), and the Fundamental Research Funds for the Central Universities of China (Grant No. 12000-310432101).

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References

[1]	Novoselov K S, Jiang Z, Zhang Y, Morozov S V, Stormer H L, Zeitler U, Maan J C, Boebinger G S, Kim P, Geim1 A K 2007 Science 315 1379 Google Scholar
[2]	Zhao L Y, He R, Rim K T, et al. 2011 Science 333 999 Google Scholar
[3]	Xu M, Liang T, Shi M, Chen H 2013 Chem. Rev. 113 3766 Google Scholar
[4]	Wilson J A, Yoffe A D 1969 Adv. Phys. 18 193 Google Scholar
[5]	Takada K, Sakurai H, Takayama-Muromachi E, Izumi F, Dilanian R, Sasaki T 2003 Nature 422 53 Google Scholar
[6]	Kubota Y, Watanabe K, Tsuda O, Taniguchi T 2007 Science 317 932 Google Scholar
[7]	Pacilé D, Meyer J C, Girit Ç Ö, Zettl A 2008 Appl. Phys. Lett. 92 133107 Google Scholar
[8]	Li B, Wan Z, Wang C, Chen P, Huang B, Cheng X, Qian Q, Li J, Zhang Z W, Sun G Z, Zhao B, Ma H, Wu R X, Wei Z M, Liu Y, Liao L, Ye Y H, Yu X, Duan X D, Ji X D, Duan W, Xiang f 2021 Nat. Mater. 20 818 Google Scholar
[9]	Geim A K, Grigorieva I V 2013 Nature 499 419 Google Scholar
[10]	Guo H W, Hu Z, Liu Z B, Tian J G 2021 Adv. Funct. Mater. 31 2007810 Google Scholar
[11]	Tong Q J, Yu H Y, Zhu Q Z, Wang Y, Xu X D, Yao W 2017 Nat. Phys. 13 356 Google Scholar
[12]	Cao Y, Fatemi V, Demir A, Fang S, Tomarken S L, Luo J Y, Sanchez-Yamagishi J D, Watanabe K, Taniguchi T, Kaxiras E, Ashoori R C, Jarillo-Herrero P 2018 Nature 556 80 Google Scholar
[13]	Zhao X J, Yang Y, Zhang D B, Wei S H 2020 Phys. Rev. Lett. 124 086401 Google Scholar
[14]	Liu C S, Yan X, Song X F, Ding S J, Zhang D W, Zhou P 2018 Nat. Nanotechnol. 13 404 Google Scholar
[15]	Xiao J, Wang Y, Wang H, Pemmaraju C D, Wang S Q, Muscher P, Sie E J, Nyby C M, Devereaux T P, Qian X F, Zhang X, Lindenberg A M 2020 Nat. Phys. 16 1028 Google Scholar
[16]	Shulaker M M, Hills G, Park R S, Howe R T, Saraswat K, Wong H S P, Mitra S 2017 Nature 547 74 Google Scholar
[17]	Nicholas R G, Christopher M, Michael S 2020 Oxford Open Mater. Sci. 1 itaa002 Google Scholar
[18]	San-Jose P, González J, Guinea F 2011 Phys. Rev. Lett. 106 045502 Google Scholar
[19]	Wang Z L 2007 MRS Bull. 32 109 Google Scholar
[20]	Kim K S, Zhao Y, Jang H, Lee S Y, Kim J M, Kim K S, Ahn J H, Kim P, Choi J Y, Hong B H 2009 Nature 457 706 Google Scholar
[21]	Lee C, Wei X, Kysar J W, Hone J 2008 Science 321 385 Google Scholar
[22]	Pereira V M, Castro Neto A H 2009 Phys. Rev. Lett. 103 046801 Google Scholar
[23]	Maiti A 2003 Nat. Mater. 2 440 Google Scholar
[24]	Wang G, Dai Z, Wang Y, Tan P, Liu L, Xu Z, Wei Y, Huang R, Zhang Z 2017 Phys. Rev. Lett. 119 036101 Google Scholar
[25]	Liu X, Sachan A K, Howell S T, Conde-Rubio A, Knoll A W, Boero G, Zenobi R, Brugger J 2020 Nano Lett. 20 8250 Google Scholar
[26]	Fu X W, Liao Z M, Liu R, Xu J, Yu D 2013 ACS Nano 7 8891 Google Scholar
[27]	Cong L, Yuan Z, Bai Z, Wang X, Zhao W, Gao X, Hu X, Liu P, Guo W, Li Q, Fan S, Jiang K 2021 Sci. Adv. 7 2358 Google Scholar
[28]	Xie S, Tu L, Han Y, Huang L, Kang K, Lao K U, Poddar P, Park C, Muller D A, DiStasio J A R, Park J 2018 Science 359 1131 Google Scholar
[29]	Lewis R B, Corfdir P, Kupers H, Flissikowski T, Brandt O, Geelhaar L 2018 Nano Lett. 18 2343 Google Scholar
[30]	Mañes J L 2007 Phys. Rev. B 76 045430 Google Scholar
[31]	Meyer J C, Geim A K, Katsnelson M I, Novoselov K S, Booth T J, Roth S 2007 Nature 446 60 Google Scholar
[32]	Meyer J C, Geim A K, Katsnelson M I, Novoselov K S, Obergfell D, Roth S, Girit C, Zettl A 2007 Solid State Commun. 143 101 Google Scholar
[33]	Fasolino A, Los J H, Katsnelson M I. 2007 Nat. Mater. 6 858 Google Scholar
[34]	Nelson D R 2002 Defects and Geometry in Condensed Matter Physics (Cambridge: Cambridge University Press) pp12–17
[35]	Stolyarova E, Rim K T, Ryu S, Maultzsch J, Kim P, Brus L E, Heinz T F, Hybertsen M S, Flynn G W 2007 Proc. Natl. Acad. Sci. U. S. A. 104 9209 Google Scholar
[36]	Bai K K, Zhou Y, Zheng H, Meng L, Peng H, Liu Z F, Nie J C, He L 2014 Phys. Rev. Lett. 113 086102 Google Scholar
[37]	Kleinert H 2009 Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets (Singapore: World scientific) pp773–893
[38]	Sadoc J F 1990 Geometry in Condensed Matter Physics (Vol. 9) (Singapore: World Scientific) pp41–50
[39]	Katanaev M O, Volovich I V 1992 Ann. Phys. 216 1 Google Scholar
[40]	Sasaki K, Kawazoe Y, Saito R 2005 Prog. Theor. Phys. 113 463 Google Scholar
[41]	Morpurgo A F, Guinea F 2006 Phys. Rev. Lett. 97 196804 Google Scholar
[42]	Georgi A, Nemes-Incze P, Carrillo-Bastos R, et al. 2017 Nano Lett. 17 2240 Google Scholar
[43]	Kim J, Hong X, Jin C, Shi S, Chang C S, Chiu M, Li L, Wang F 2014 Science 346 1205 Google Scholar
[44]	Seyler K L, Zhong D, Huang B, Linpeng X, Wilson N P, Taniguchi T, Watanabe K, Yao W, Xiao D, McGuire M A, Fu K C, Xu X 2018 Nano Lett. 18 3823 Google Scholar
[45]	Guinea F, Katsnelson M I, Geim A K 2010 Nat. Phys. 6 30 Google Scholar
[46]	Low T, Guinea F 2010 Nano Lett. 10 3551 Google Scholar
[47]	Abedpour N, Asgari R, Guinea F 2011 Phys. Rev. B 84 115437 Google Scholar
[48]	Zhu S, Li T 2014 J. Appl. Mech. 81 061008 Google Scholar
[49]	Yamamoto M, Pierre-Louis O, Huang J, Fuhrer M S, Einstein T L, Cullen W G 2012 Phys. Rev. X 2 041018 Google Scholar
[50]	Levy N, Burke S A, Meaker K L, Panlasigui M, Zettl A, Guinea F, Castro Neto A H, Crommie M F 2010 Science 329 544 Google Scholar
[51]	Zhu S, Stroscio J A, Li T 2015 Phys. Rev. Lett. 115 245501 Google Scholar
[52]	Neek-Amal M, Covaci L, Peeters F M 2012 Phys. Rev. B 86 041405 Google Scholar
[53]	Qi Z, Kitt A L, Park H S, Pereira V M, Canpbell D K, Castro Neto A H 2014 Phys. Rev. B 90 125419 Google Scholar
[54]	Jiang Y, Mao J, Duan J, Lai X, Watanabe K, Taniguchi T, Andrei E Y 2017 Nano Lett. 17 2839 Google Scholar
[55]	Hsu C C, Teague M L, Wang J Q, Yeh N C 2020 Sci. Adv. 6 9488 Google Scholar
[56]	Kun P, Kukucska G, Dobrik G, Koltai J, Kürti J, Biró L P 2019 npj 2D Mater. Appl. 3 11 Google Scholar
[57]	倪光炯, 陈苏卿 2003 高等量子力学 (上海: 复旦大学出版社) 第228—229页 Ni G J, Chen S Q 2003 Advanced Quantum Mechanics (Shanghai: Fudan University Press) pp228–229 (in Chinese)
[58]	张礼, 葛墨林 2000 量子力学的前沿问题 (北京: 清华大学出版社) 第53—57页 Zhan L, Ge M L 2000 Frontier Problems of Quantum Mechanics (Beijing: Tsinghua Univerdity press) pp53–57 (in Chinese)
[59]	Aharonov Y, Bohm D 1959 Phys. Rev. 115 485 Google Scholar
[60]	Batelaan H, Tonomura A 2009 Phys. Today 62 38 Google Scholar
[61]	马丽, 谭振兵, 谭长玲, 杨海方, 刘广同, 杨昌黎, 吕力 2011 中国科学 41 1249 Google Scholar Ma L, Tan Z B, Tan C L, Yan H F, Liu G T, Yang C L, Lǚ L 2011 Sci. China 41 1249 Google Scholar
[62]	Cano A, Paul I 2009 Phys. Rev. B 80 153401 Google Scholar
[63]	de Juna F, Cortijo A, Vozmediano M H, Cano A 2011 Nat. Phys. 7 810 Google Scholar
[64]	Mao J, Milovanović S P, Anđelković M, Lai X, Cao Y, Watanabe K, Taniguchi T, Covaci L, Peeters F M, Geim A K, Jiang Y, Andrei E Y 2020 Nature 584 215 Google Scholar
[65]	Kopnin N B, Heikkilä T T, Volovik G E 2011 Phys. Rev. B 83 220503 Google Scholar
[66]	Kauppila V J, Aikebaier F, Heikkilä T T 2016 Phys. Rev. B 93 214505 Google Scholar
[67]	Tang E, Fu L 2014 Nat. Phys. 10 964 Google Scholar
[68]	Naumov I, Bratkovsky A M, Ranjan V 2009 Phys. Rev. Lett. 102 217601 Google Scholar
[69]	Hong J, Vanderbilt D 2013 Phys. Rev. B 88 174107 Google Scholar
[70]	Wang B, Gu Y, Zhang S, Chen L Q 2019 Prog. Mater. Sci. 106 100570 Google Scholar
[71]	Ahmadpoor F, Sharma P 2015 Nanoscale 7 16555 Google Scholar
[72]	Yang M M, Kim D J, Alexe M 2018 Science 360 904 Google Scholar
[73]	Kumar M, Lim J, Park J Y, Seo H 2021 Small Methods 5 2100342 Google Scholar
[74]	Jiang X, Huang W, Zhang S 2013 Nano Energy 2 1079 Google Scholar
[75]	Kogan Sh M 1964 Sov. Phys. Solid State 5 2069
[76]	Meyer R B 1969 Phys. Rev. Lett. 22 918 Google Scholar
[77]	Zubko P, Catalan G, Tagantsev A K 2013 Annu. Rev. Mater. Res. 43 387 Google Scholar
[78]	Wen X, Li D, Tan K, Deng Q, Shen S 2019 Phys. Rev. Lett. 122 148001 Google Scholar
[79]	Chu B, Salem D R 2012 Appl. Phys. Lett. 101 103905 Google Scholar
[80]	Yudin P V, Tagantsev A K 2013 Nanotechnology 24 432001 Google Scholar
[81]	Nguyen T D, Mao Sh, Yeh Y W, Purohit P K, McAlpine M C 2013 Adv. Mater. 25 946 Google Scholar
[82]	舒龙龙, 梁任宏, 喻彦卓, 黄文彬, 魏晓勇, 李飞, 江小宁, 姚熹, 王雨 2018 现代技术陶瓷 39 223 Google Scholar Shu L L, Liang R H, Yu Y Z, Huang W B, Wei X Y, Li F, Jiang X N, Yao X, Wang Y 2018 Adv. Ceram. 39 223 Google Scholar
[83]	Tagantsev A K 1986 Phys. Rev. B 34 5883 Google Scholar
[84]	Tagantsev A K 1991 Phase Transitions 35 119 Google Scholar
[85]	Resta R 2010 Phys. Rev. Lett. 105 127601 Google Scholar
[86]	Resta R 2010 Phys. Condens. Matter 22 123201 Google Scholar
[87]	Tagantsev A K 1985 Zh. Eksp. Teor. Fiz. 88 2108
[88]	Zubko P, Catalan G, Buckley A, Welche P R L, Scott J F 2007 Phys. Rev. Lett. 99 167601 Google Scholar
[89]	Stengel M 2013 Phys. Rev. B 88 174106 Google Scholar
[90]	Zhang X, Pan Q, Tian D, Zhou W, Chen P, Zhang H, Chu B 2018 Phys. Rev. Lett. 121 057602 Google Scholar
[91]	Maranganti R, Sharma P 2009 Phys. Rev. B 80 054109 Google Scholar
[92]	Hong J, Catalan G, Scott J F, Artacho E 2010 J. Phys. Condens. Matter 22 112201 Google Scholar
[93]	Hong J, Vanderbilt D 2011 Phys. Rev. B 84 180101 Google Scholar
[94]	Bennett D 2021 Electron. Struct. 3 015001 Google Scholar
[95]	Codony D, Arias I, Suryanarayana P 2021 Phys. Rev. Mater. 5 L030801 Google Scholar
[96]	Springolo M, Royo M, Stengel M 2021 Phys. Rev. Lett. 127 216801 Google Scholar
[97]	Kalinin S V, Meunier V 2008 Phys. Rev. B 77 033403 Google Scholar
[98]	Zhuang X, He B, Javvaji B, Park H S 2019 Phys. Rev. B 99 054105 Google Scholar
[99]	Kumar S, Codony D, Arias I, Suryanarayana P 2021 Nanoscale 13 1600 Google Scholar
[100]	Abdollahi A, Vásquez-Sancho F, Catalan G 2018 Phys. Rev. Lett. 121 205502 Google Scholar
[101]	McGilly L J, Kerelsky A, Finney N R, Shapovalov K, Shih E M, Ghiotto A, Zeng Y, Moore S L, Wu W, Bai Y, Watanabe K, Taniguchi T, Stengel M, Zhou L, Hone J, Zhu X, Basov D N, Dean C, Dreyer C E, Pasupathy A N 2020 Nat. Nanotechnol. 15 580 Google Scholar
[102]	Li Y, Wang X, Tang D, Wang X, Watanabe K, Taniguchi T, Gamelin D R, Cobden D H, Yankowitz M, Xu X, Li J 2021 Adv. Mater. 33 2105879 Google Scholar
[103]	Kwon S R, Huang W B, Zhang S J, Yuan F G, Jiang X N 2013 Smart Mater. Struct. 22 115017 Google Scholar
[104]	Glass A M, von der Linde D, Negran T J 1974 Appl. Phys. Lett. 25 233 Google Scholar
[105]	Brody P S, Crowne F 1975 J. Electron. Mater. 4 955 Google Scholar
[106]	Fridkin V M 2001 Crystallogr. Rep. 46 654 Google Scholar
[107]	Spanier J E, Fridkin V M, Rappe A M, Akbashev A R, Polemi A, Qi Y, Gu Z, Young S M, Hawley C J, Imbrenda D, Xiao G, Bennett-Jackson A L, Johnson C L 2016 Nat. Photonics 10 611 Google Scholar
[108]	Jiang J, Chen Z, Hu Y, Xiang Y, Zhang L, Wang Y, Wang G C, Shi J 2021 Nat. Nanotechnol. 16 894 Google Scholar
[109]	Artyukhov V I, Gupta S, Kutana A, Yakobson B I 2020 Nano Lett. 20 3240 Google Scholar
[110]	Qi Y, Kim J, Nguyen T D, Lisko B, Purohit P K, McAlpine M C 2011 Nano Lett. 11 1331 Google Scholar
[111]	Wang K F, Wang B L 2016 Compos. Struct. 153 253 Google Scholar
[112]	Wang K F, Wang B L 2017 Int. J. Eng. Sci. 116 88 Google Scholar
[113]	Kresse G, Furthmüller J 1996 Phys. Rev. B 54 11169 Google Scholar
[114]	Giannozzi P, Baroni S, Bonini N, et al. 2009 J. Phys. Condens. Matter 21 395502 Google Scholar
[115]	Porezag D, Frauenheim Th, Köhler Th, Seifert G, Kaschner R 1995 Phys. Rev. B 51 12947 Google Scholar
[116]	Elstner M, Porezag D, Jungnickel G, Elsner J, Haugk M, Frauenheim Th, Suhai S, Seifert G 1998 Phys. Rev. B 58 7260 Google Scholar
[117]	Locatelli A, Wang C, Africh C, Stojić N, Menteş T O, Comelli G, Binggeli N 2013 ACS Nano 7 6955 Google Scholar
[118]	Yue L, Seifert G, Chang K, Zhang D B 2017 Phys. Rev. B 96 201403 Google Scholar
[119]	White C T, Robertson D H, Mintmire J W 1993 Phys. Rev. B 47 5485 Google Scholar
[120]	Popov V N 2004 New J. Phys. 6 17 Google Scholar
[121]	Allen P B 2007 Nano Lett. 7 1220 Google Scholar
[122]	张东波, 魏苏淮 2021 科学通报 66 674 Google Scholar Zhang D B, Wei S H 2021 Chin. Sci. Bull. 66 674 Google Scholar
[123]	Zhang D B, Wei S H 2017 npj Comput. Mater. 3 32 Google Scholar
[124]	Rurali R, Hernández E 2003 Comput. Mater. Sci. 28 85 Google Scholar
[125]	Aradi B, Hourahine B, Frauenheim T 2007 J. Phys. Chem. A 111 5678 Google Scholar
[126]	Zhang D B, Seifert G, Chang K 2014 Phys. Rev. Lett. 112 096805 Google Scholar
[127]	Guinea F, Geim A K, Katsnelson M I, Novoselov K S 2010 Phys. Rev. B 81 035408 Google Scholar
[128]	Suzuura H, Ando T 2002 Phys. Rev. B 65 235412 Google Scholar
[129]	Awschalom D D, Flatté M E 2007 Nat. Phys. 3 153 Google Scholar
[130]	Fang C M, de Wijs G A, de Groot R A 2002 J. Appl. Phys. 91 8340 Google Scholar
[131]	Wolf S A, Awschalom D D, Buhrman R A, Daughton J M, Von Molnar S, Roukes M L, Chtchelkanova A Y, Treger D M 2001 Science 294 1488 Google Scholar
[132]	Felser C, Fecher G H, Balke B 2007 Angew. Chem. Int. Ed. 46 668 Google Scholar
[133]	Zhang D, Zhang D B, Yang F, Lin H Q, Xu H, Chang K 2015 2D Mater. 2 041001 Google Scholar
[134]	Pruneda J M 2010 Phys. Rev. B 81 161409 Google Scholar
[135]	Bhowmick S, Singh A K, Yakobson B I 2011 J. Phys. Chem. C 115 9889
[136]	Levendorf M, Kim C, Brown L, Huang P, Havener R W, Muller D A, Park J 2012 Nature 488 627 Google Scholar
[137]	Sutter P, Cortes R, Lahiri J, Sutter E 2012 Nano Lett. 12 4869 Google Scholar
[138]	Sutter P, Huang Y, Sutter E 2014 Nano Lett. 14 4846 Google Scholar
[139]	Liu Z, Ma L, Shi G, Zhou W, Gong Y, Lei S, Yang X, Zhang J, Yu J, Hackenberg K P, Babakhani A, Idrobo J C, Vajtai R, Lou J, Ajayan P M 2013 Nat. Nanotechnol. 8 119 Google Scholar
[140]	Liu L, Park J, Siegel D A, McCarty K F, Clark K W, Deng W, Basile L, Idrobo J C, Li A P, Gu G 2014 Science 343 163 Google Scholar
[141]	Liu M, Li Y, Chen P, Sun J, Ma D, Li Q, Gao T, Gao Y, Cheng Z, Qiu X, Fang Y, Zhang Y, Liu Z 2014 Nano Lett. 14 6342 Google Scholar
[142]	Drost R, Uppstu A, Schulz F, Hamalainen S K, Ervasti M, Harju A, Liljeroth P 2014 Nano Lett. 14 5128 Google Scholar
[143]	Kim S W, Kim H J, Choi J H, Scheicher R H, Cho J H 2015 Phys. Rev. B 92 035443 Google Scholar
[144]	Zeng J, Chen W, Cui P, Zhang D B, Zhang Z 2016 Phys. Rev. B 94 235425 Google Scholar
[145]	Liu Z, Fu X, Zhang D B 2020 Nanoscale 12 19083 Google Scholar

Cited By

图 1 最大应变为50%的应变几何示意图^[46]

Figure 1. Sketch of an example strain geometry with a maximum strain of 50%^[46].

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图 2 在(a)实际磁场B = 9 T, (b)赝磁场B_s = 9 T情况下, 典型能量色散随动量沿输运方向的变化^[46]

Figure 2. Plot of typical energy dispersion as a function of momentum along the transport direction for the case of (a) real magnetic field B = 9 T, (b) pseudomagnetic field B_s = 9 T^[46].

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图 3 STM干涉仪: r表示STM尖端在表面的位置, r₁和r₂表示两个杂质^[62]

Figure 3. STM interferometer: r represents the position of the STM tip on the surface and r₁ and r₂ represent two impurities^[62].

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图 4 在减去B = 0的信号后, 在Ag(111)表面上两个杂质相隔20 nm的情况下模拟得到的STM图像^[62]

Figure 4. Expected STM patterns for two impurities 20 nm apart on the Ag(111) surface after subtraction of the B = 0 signal^[62].

DownLoad: Full-Size Img PowerPoint

图 5 研究材料的结构　(a)石墨烯同素异形体; (b)氮化物XN, X = B, Al, Ga; (c) IV族元素X, X = Si, Ge, Sn的石墨烯类似物; (d)过渡金属二硫族化合物XS₂, X = Cr, Mo, W. (a)—(c)中, h为屈曲高度, (d)中, h₁和h₂为层内距离^[98]

Figure 5. Structures of the studied materials: (a) Graphene allotropes; (b) nitrides XN, X = B, Al, Ga; (c) graphene analogues of group-IV elements X, X = Si, Ge, Sn; (d) transition metal dichalcogenides XS₂, X = Cr, Mo, W. For (a)–(c), h refers to the buckling height, while in (d), h₁ and h₂ refer to intralayer distances^[98].

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图 6 MoS2片的(a)未形变与(b)形变下的原子构型^[98]

Figure 6. Atomic configurations of MoS2 sheet under (a) undeformed and (b) deformed^[98].

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图 7 弯曲悬臂梁中的挠曲电极化^[100]

Figure 7. Flexoelectric polarization induced in a cantilever beam under bending^[100].

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图 8 (a)扭曲形变下的G/hBN横向异质结与(b) 其未应变情况^[118]

Figure 8. The G/hBN lateral heterojunction (a) under twisting deformation and (b) its unstrained state^[118].

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图 9 (a)弯曲形变下的石墨烯与(b)其未应变情况^[118]

Figure 9. Graphene (a) under bending deformation and (b) its unstrained state^[118].

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图 10 170 nm宽zigzag型石墨烯条带在未应变(a)与0.61(°)/nm扭曲率(b)下的能带结构(上图)和态密度(下图)^[126]

Figure 10. Band structures (upper) and density of states (lower) of a 170 nm wide zigzag graphene nanoribbon at (a) no strain and (b) twist rate = 0.61(°)/nm^[126].

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图 11 176 nm宽armchair型石墨烯条带在未应变(a)与0.66(°)/nm扭曲率(b)下的能带结构(上图)和态密度(下图)^[126]

Figure 11. Band structures (upper) and density of states (lower) of a 176 nm wide armchair graphene nanoribbon at (a) no strain and (b) twist rate = 0.66(°)/nm^[126].

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图 12 (a)石墨烯/六方氮化硼横向异质结及其(b)面内弯曲下的结构^[118]

Figure 12. (a) Grapheme/hexagonal boron nitride lateral heterojunction and (b) its structure under in-plane bending^[118].

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图 13 石墨烯/六方氮化硼横向异质结在(a)弯曲0°、(b)弯曲0.3°、(c)弯曲0.6°情况下的电子能带结构^[118]

Figure 13. Electronic band structures of the grapheme/hexagonal boron nitride lateral heterojunction with the bending angle of (a) 0°, (b) 0.3° and (c) 0.6°^[118].

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表 1 IV族原子单层膜的横向挠曲电系数μ_T[e] ^[95]

Table 1. Transversal flexoelectric coefficient μ_T[e] for group IV atomic monolayers^[95].

Zigzag Armchair
LDA PBE LDA PBE

Graphene 0.22 0.22 0.22 0.22
Silicene 0.19 0.19 0.19 0.19
Germanene 0.28 0.28 0.28 0.27
Stanene 0.27 0.26 0.27 0.26

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[1]	Novoselov K S, Jiang Z, Zhang Y, Morozov S V, Stormer H L, Zeitler U, Maan J C, Boebinger G S, Kim P, Geim1 A K 2007 Science 315 1379 Google Scholar
[2]	Zhao L Y, He R, Rim K T, et al. 2011 Science 333 999 Google Scholar
[3]	Xu M, Liang T, Shi M, Chen H 2013 Chem. Rev. 113 3766 Google Scholar
[4]	Wilson J A, Yoffe A D 1969 Adv. Phys. 18 193 Google Scholar
[5]	Takada K, Sakurai H, Takayama-Muromachi E, Izumi F, Dilanian R, Sasaki T 2003 Nature 422 53 Google Scholar
[6]	Kubota Y, Watanabe K, Tsuda O, Taniguchi T 2007 Science 317 932 Google Scholar
[7]	Pacilé D, Meyer J C, Girit Ç Ö, Zettl A 2008 Appl. Phys. Lett. 92 133107 Google Scholar
[8]	Li B, Wan Z, Wang C, Chen P, Huang B, Cheng X, Qian Q, Li J, Zhang Z W, Sun G Z, Zhao B, Ma H, Wu R X, Wei Z M, Liu Y, Liao L, Ye Y H, Yu X, Duan X D, Ji X D, Duan W, Xiang f 2021 Nat. Mater. 20 818 Google Scholar
[9]	Geim A K, Grigorieva I V 2013 Nature 499 419 Google Scholar
[10]	Guo H W, Hu Z, Liu Z B, Tian J G 2021 Adv. Funct. Mater. 31 2007810 Google Scholar
[11]	Tong Q J, Yu H Y, Zhu Q Z, Wang Y, Xu X D, Yao W 2017 Nat. Phys. 13 356 Google Scholar
[12]	Cao Y, Fatemi V, Demir A, Fang S, Tomarken S L, Luo J Y, Sanchez-Yamagishi J D, Watanabe K, Taniguchi T, Kaxiras E, Ashoori R C, Jarillo-Herrero P 2018 Nature 556 80 Google Scholar
[13]	Zhao X J, Yang Y, Zhang D B, Wei S H 2020 Phys. Rev. Lett. 124 086401 Google Scholar
[14]	Liu C S, Yan X, Song X F, Ding S J, Zhang D W, Zhou P 2018 Nat. Nanotechnol. 13 404 Google Scholar
[15]	Xiao J, Wang Y, Wang H, Pemmaraju C D, Wang S Q, Muscher P, Sie E J, Nyby C M, Devereaux T P, Qian X F, Zhang X, Lindenberg A M 2020 Nat. Phys. 16 1028 Google Scholar
[16]	Shulaker M M, Hills G, Park R S, Howe R T, Saraswat K, Wong H S P, Mitra S 2017 Nature 547 74 Google Scholar
[17]	Nicholas R G, Christopher M, Michael S 2020 Oxford Open Mater. Sci. 1 itaa002 Google Scholar
[18]	San-Jose P, González J, Guinea F 2011 Phys. Rev. Lett. 106 045502 Google Scholar
[19]	Wang Z L 2007 MRS Bull. 32 109 Google Scholar
[20]	Kim K S, Zhao Y, Jang H, Lee S Y, Kim J M, Kim K S, Ahn J H, Kim P, Choi J Y, Hong B H 2009 Nature 457 706 Google Scholar
[21]	Lee C, Wei X, Kysar J W, Hone J 2008 Science 321 385 Google Scholar
[22]	Pereira V M, Castro Neto A H 2009 Phys. Rev. Lett. 103 046801 Google Scholar
[23]	Maiti A 2003 Nat. Mater. 2 440 Google Scholar
[24]	Wang G, Dai Z, Wang Y, Tan P, Liu L, Xu Z, Wei Y, Huang R, Zhang Z 2017 Phys. Rev. Lett. 119 036101 Google Scholar
[25]	Liu X, Sachan A K, Howell S T, Conde-Rubio A, Knoll A W, Boero G, Zenobi R, Brugger J 2020 Nano Lett. 20 8250 Google Scholar
[26]	Fu X W, Liao Z M, Liu R, Xu J, Yu D 2013 ACS Nano 7 8891 Google Scholar
[27]	Cong L, Yuan Z, Bai Z, Wang X, Zhao W, Gao X, Hu X, Liu P, Guo W, Li Q, Fan S, Jiang K 2021 Sci. Adv. 7 2358 Google Scholar
[28]	Xie S, Tu L, Han Y, Huang L, Kang K, Lao K U, Poddar P, Park C, Muller D A, DiStasio J A R, Park J 2018 Science 359 1131 Google Scholar
[29]	Lewis R B, Corfdir P, Kupers H, Flissikowski T, Brandt O, Geelhaar L 2018 Nano Lett. 18 2343 Google Scholar
[30]	Mañes J L 2007 Phys. Rev. B 76 045430 Google Scholar
[31]	Meyer J C, Geim A K, Katsnelson M I, Novoselov K S, Booth T J, Roth S 2007 Nature 446 60 Google Scholar
[32]	Meyer J C, Geim A K, Katsnelson M I, Novoselov K S, Obergfell D, Roth S, Girit C, Zettl A 2007 Solid State Commun. 143 101 Google Scholar
[33]	Fasolino A, Los J H, Katsnelson M I. 2007 Nat. Mater. 6 858 Google Scholar
[34]	Nelson D R 2002 Defects and Geometry in Condensed Matter Physics (Cambridge: Cambridge University Press) pp12–17
[35]	Stolyarova E, Rim K T, Ryu S, Maultzsch J, Kim P, Brus L E, Heinz T F, Hybertsen M S, Flynn G W 2007 Proc. Natl. Acad. Sci. U. S. A. 104 9209 Google Scholar
[36]	Bai K K, Zhou Y, Zheng H, Meng L, Peng H, Liu Z F, Nie J C, He L 2014 Phys. Rev. Lett. 113 086102 Google Scholar
[37]	Kleinert H 2009 Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets (Singapore: World scientific) pp773–893
[38]	Sadoc J F 1990 Geometry in Condensed Matter Physics (Vol. 9) (Singapore: World Scientific) pp41–50
[39]	Katanaev M O, Volovich I V 1992 Ann. Phys. 216 1 Google Scholar
[40]	Sasaki K, Kawazoe Y, Saito R 2005 Prog. Theor. Phys. 113 463 Google Scholar
[41]	Morpurgo A F, Guinea F 2006 Phys. Rev. Lett. 97 196804 Google Scholar
[42]	Georgi A, Nemes-Incze P, Carrillo-Bastos R, et al. 2017 Nano Lett. 17 2240 Google Scholar
[43]	Kim J, Hong X, Jin C, Shi S, Chang C S, Chiu M, Li L, Wang F 2014 Science 346 1205 Google Scholar
[44]	Seyler K L, Zhong D, Huang B, Linpeng X, Wilson N P, Taniguchi T, Watanabe K, Yao W, Xiao D, McGuire M A, Fu K C, Xu X 2018 Nano Lett. 18 3823 Google Scholar
[45]	Guinea F, Katsnelson M I, Geim A K 2010 Nat. Phys. 6 30 Google Scholar
[46]	Low T, Guinea F 2010 Nano Lett. 10 3551 Google Scholar
[47]	Abedpour N, Asgari R, Guinea F 2011 Phys. Rev. B 84 115437 Google Scholar
[48]	Zhu S, Li T 2014 J. Appl. Mech. 81 061008 Google Scholar
[49]	Yamamoto M, Pierre-Louis O, Huang J, Fuhrer M S, Einstein T L, Cullen W G 2012 Phys. Rev. X 2 041018 Google Scholar
[50]	Levy N, Burke S A, Meaker K L, Panlasigui M, Zettl A, Guinea F, Castro Neto A H, Crommie M F 2010 Science 329 544 Google Scholar
[51]	Zhu S, Stroscio J A, Li T 2015 Phys. Rev. Lett. 115 245501 Google Scholar
[52]	Neek-Amal M, Covaci L, Peeters F M 2012 Phys. Rev. B 86 041405 Google Scholar
[53]	Qi Z, Kitt A L, Park H S, Pereira V M, Canpbell D K, Castro Neto A H 2014 Phys. Rev. B 90 125419 Google Scholar
[54]	Jiang Y, Mao J, Duan J, Lai X, Watanabe K, Taniguchi T, Andrei E Y 2017 Nano Lett. 17 2839 Google Scholar
[55]	Hsu C C, Teague M L, Wang J Q, Yeh N C 2020 Sci. Adv. 6 9488 Google Scholar
[56]	Kun P, Kukucska G, Dobrik G, Koltai J, Kürti J, Biró L P 2019 npj 2D Mater. Appl. 3 11 Google Scholar
[57]	倪光炯, 陈苏卿 2003 高等量子力学 (上海: 复旦大学出版社) 第228—229页 Ni G J, Chen S Q 2003 Advanced Quantum Mechanics (Shanghai: Fudan University Press) pp228–229 (in Chinese)
[58]	张礼, 葛墨林 2000 量子力学的前沿问题 (北京: 清华大学出版社) 第53—57页 Zhan L, Ge M L 2000 Frontier Problems of Quantum Mechanics (Beijing: Tsinghua Univerdity press) pp53–57 (in Chinese)
[59]	Aharonov Y, Bohm D 1959 Phys. Rev. 115 485 Google Scholar
[60]	Batelaan H, Tonomura A 2009 Phys. Today 62 38 Google Scholar
[61]	马丽, 谭振兵, 谭长玲, 杨海方, 刘广同, 杨昌黎, 吕力 2011 中国科学 41 1249 Google Scholar Ma L, Tan Z B, Tan C L, Yan H F, Liu G T, Yang C L, Lǚ L 2011 Sci. China 41 1249 Google Scholar
[62]	Cano A, Paul I 2009 Phys. Rev. B 80 153401 Google Scholar
[63]	de Juna F, Cortijo A, Vozmediano M H, Cano A 2011 Nat. Phys. 7 810 Google Scholar
[64]	Mao J, Milovanović S P, Anđelković M, Lai X, Cao Y, Watanabe K, Taniguchi T, Covaci L, Peeters F M, Geim A K, Jiang Y, Andrei E Y 2020 Nature 584 215 Google Scholar
[65]	Kopnin N B, Heikkilä T T, Volovik G E 2011 Phys. Rev. B 83 220503 Google Scholar
[66]	Kauppila V J, Aikebaier F, Heikkilä T T 2016 Phys. Rev. B 93 214505 Google Scholar
[67]	Tang E, Fu L 2014 Nat. Phys. 10 964 Google Scholar
[68]	Naumov I, Bratkovsky A M, Ranjan V 2009 Phys. Rev. Lett. 102 217601 Google Scholar
[69]	Hong J, Vanderbilt D 2013 Phys. Rev. B 88 174107 Google Scholar
[70]	Wang B, Gu Y, Zhang S, Chen L Q 2019 Prog. Mater. Sci. 106 100570 Google Scholar
[71]	Ahmadpoor F, Sharma P 2015 Nanoscale 7 16555 Google Scholar
[72]	Yang M M, Kim D J, Alexe M 2018 Science 360 904 Google Scholar
[73]	Kumar M, Lim J, Park J Y, Seo H 2021 Small Methods 5 2100342 Google Scholar
[74]	Jiang X, Huang W, Zhang S 2013 Nano Energy 2 1079 Google Scholar
[75]	Kogan Sh M 1964 Sov. Phys. Solid State 5 2069
[76]	Meyer R B 1969 Phys. Rev. Lett. 22 918 Google Scholar
[77]	Zubko P, Catalan G, Tagantsev A K 2013 Annu. Rev. Mater. Res. 43 387 Google Scholar
[78]	Wen X, Li D, Tan K, Deng Q, Shen S 2019 Phys. Rev. Lett. 122 148001 Google Scholar
[79]	Chu B, Salem D R 2012 Appl. Phys. Lett. 101 103905 Google Scholar
[80]	Yudin P V, Tagantsev A K 2013 Nanotechnology 24 432001 Google Scholar
[81]	Nguyen T D, Mao Sh, Yeh Y W, Purohit P K, McAlpine M C 2013 Adv. Mater. 25 946 Google Scholar
[82]	舒龙龙, 梁任宏, 喻彦卓, 黄文彬, 魏晓勇, 李飞, 江小宁, 姚熹, 王雨 2018 现代技术陶瓷 39 223 Google Scholar Shu L L, Liang R H, Yu Y Z, Huang W B, Wei X Y, Li F, Jiang X N, Yao X, Wang Y 2018 Adv. Ceram. 39 223 Google Scholar
[83]	Tagantsev A K 1986 Phys. Rev. B 34 5883 Google Scholar
[84]	Tagantsev A K 1991 Phase Transitions 35 119 Google Scholar
[85]	Resta R 2010 Phys. Rev. Lett. 105 127601 Google Scholar
[86]	Resta R 2010 Phys. Condens. Matter 22 123201 Google Scholar
[87]	Tagantsev A K 1985 Zh. Eksp. Teor. Fiz. 88 2108
[88]	Zubko P, Catalan G, Buckley A, Welche P R L, Scott J F 2007 Phys. Rev. Lett. 99 167601 Google Scholar
[89]	Stengel M 2013 Phys. Rev. B 88 174106 Google Scholar
[90]	Zhang X, Pan Q, Tian D, Zhou W, Chen P, Zhang H, Chu B 2018 Phys. Rev. Lett. 121 057602 Google Scholar
[91]	Maranganti R, Sharma P 2009 Phys. Rev. B 80 054109 Google Scholar
[92]	Hong J, Catalan G, Scott J F, Artacho E 2010 J. Phys. Condens. Matter 22 112201 Google Scholar
[93]	Hong J, Vanderbilt D 2011 Phys. Rev. B 84 180101 Google Scholar
[94]	Bennett D 2021 Electron. Struct. 3 015001 Google Scholar
[95]	Codony D, Arias I, Suryanarayana P 2021 Phys. Rev. Mater. 5 L030801 Google Scholar
[96]	Springolo M, Royo M, Stengel M 2021 Phys. Rev. Lett. 127 216801 Google Scholar
[97]	Kalinin S V, Meunier V 2008 Phys. Rev. B 77 033403 Google Scholar
[98]	Zhuang X, He B, Javvaji B, Park H S 2019 Phys. Rev. B 99 054105 Google Scholar
[99]	Kumar S, Codony D, Arias I, Suryanarayana P 2021 Nanoscale 13 1600 Google Scholar
[100]	Abdollahi A, Vásquez-Sancho F, Catalan G 2018 Phys. Rev. Lett. 121 205502 Google Scholar
[101]	McGilly L J, Kerelsky A, Finney N R, Shapovalov K, Shih E M, Ghiotto A, Zeng Y, Moore S L, Wu W, Bai Y, Watanabe K, Taniguchi T, Stengel M, Zhou L, Hone J, Zhu X, Basov D N, Dean C, Dreyer C E, Pasupathy A N 2020 Nat. Nanotechnol. 15 580 Google Scholar
[102]	Li Y, Wang X, Tang D, Wang X, Watanabe K, Taniguchi T, Gamelin D R, Cobden D H, Yankowitz M, Xu X, Li J 2021 Adv. Mater. 33 2105879 Google Scholar
[103]	Kwon S R, Huang W B, Zhang S J, Yuan F G, Jiang X N 2013 Smart Mater. Struct. 22 115017 Google Scholar
[104]	Glass A M, von der Linde D, Negran T J 1974 Appl. Phys. Lett. 25 233 Google Scholar
[105]	Brody P S, Crowne F 1975 J. Electron. Mater. 4 955 Google Scholar
[106]	Fridkin V M 2001 Crystallogr. Rep. 46 654 Google Scholar
[107]	Spanier J E, Fridkin V M, Rappe A M, Akbashev A R, Polemi A, Qi Y, Gu Z, Young S M, Hawley C J, Imbrenda D, Xiao G, Bennett-Jackson A L, Johnson C L 2016 Nat. Photonics 10 611 Google Scholar
[108]	Jiang J, Chen Z, Hu Y, Xiang Y, Zhang L, Wang Y, Wang G C, Shi J 2021 Nat. Nanotechnol. 16 894 Google Scholar
[109]	Artyukhov V I, Gupta S, Kutana A, Yakobson B I 2020 Nano Lett. 20 3240 Google Scholar
[110]	Qi Y, Kim J, Nguyen T D, Lisko B, Purohit P K, McAlpine M C 2011 Nano Lett. 11 1331 Google Scholar
[111]	Wang K F, Wang B L 2016 Compos. Struct. 153 253 Google Scholar
[112]	Wang K F, Wang B L 2017 Int. J. Eng. Sci. 116 88 Google Scholar
[113]	Kresse G, Furthmüller J 1996 Phys. Rev. B 54 11169 Google Scholar
[114]	Giannozzi P, Baroni S, Bonini N, et al. 2009 J. Phys. Condens. Matter 21 395502 Google Scholar
[115]	Porezag D, Frauenheim Th, Köhler Th, Seifert G, Kaschner R 1995 Phys. Rev. B 51 12947 Google Scholar
[116]	Elstner M, Porezag D, Jungnickel G, Elsner J, Haugk M, Frauenheim Th, Suhai S, Seifert G 1998 Phys. Rev. B 58 7260 Google Scholar
[117]	Locatelli A, Wang C, Africh C, Stojić N, Menteş T O, Comelli G, Binggeli N 2013 ACS Nano 7 6955 Google Scholar
[118]	Yue L, Seifert G, Chang K, Zhang D B 2017 Phys. Rev. B 96 201403 Google Scholar
[119]	White C T, Robertson D H, Mintmire J W 1993 Phys. Rev. B 47 5485 Google Scholar
[120]	Popov V N 2004 New J. Phys. 6 17 Google Scholar
[121]	Allen P B 2007 Nano Lett. 7 1220 Google Scholar
[122]	张东波, 魏苏淮 2021 科学通报 66 674 Google Scholar Zhang D B, Wei S H 2021 Chin. Sci. Bull. 66 674 Google Scholar
[123]	Zhang D B, Wei S H 2017 npj Comput. Mater. 3 32 Google Scholar
[124]	Rurali R, Hernández E 2003 Comput. Mater. Sci. 28 85 Google Scholar
[125]	Aradi B, Hourahine B, Frauenheim T 2007 J. Phys. Chem. A 111 5678 Google Scholar
[126]	Zhang D B, Seifert G, Chang K 2014 Phys. Rev. Lett. 112 096805 Google Scholar
[127]	Guinea F, Geim A K, Katsnelson M I, Novoselov K S 2010 Phys. Rev. B 81 035408 Google Scholar
[128]	Suzuura H, Ando T 2002 Phys. Rev. B 65 235412 Google Scholar
[129]	Awschalom D D, Flatté M E 2007 Nat. Phys. 3 153 Google Scholar
[130]	Fang C M, de Wijs G A, de Groot R A 2002 J. Appl. Phys. 91 8340 Google Scholar
[131]	Wolf S A, Awschalom D D, Buhrman R A, Daughton J M, Von Molnar S, Roukes M L, Chtchelkanova A Y, Treger D M 2001 Science 294 1488 Google Scholar
[132]	Felser C, Fecher G H, Balke B 2007 Angew. Chem. Int. Ed. 46 668 Google Scholar
[133]	Zhang D, Zhang D B, Yang F, Lin H Q, Xu H, Chang K 2015 2D Mater. 2 041001 Google Scholar
[134]	Pruneda J M 2010 Phys. Rev. B 81 161409 Google Scholar
[135]	Bhowmick S, Singh A K, Yakobson B I 2011 J. Phys. Chem. C 115 9889
[136]	Levendorf M, Kim C, Brown L, Huang P, Havener R W, Muller D A, Park J 2012 Nature 488 627 Google Scholar
[137]	Sutter P, Cortes R, Lahiri J, Sutter E 2012 Nano Lett. 12 4869 Google Scholar
[138]	Sutter P, Huang Y, Sutter E 2014 Nano Lett. 14 4846 Google Scholar
[139]	Liu Z, Ma L, Shi G, Zhou W, Gong Y, Lei S, Yang X, Zhang J, Yu J, Hackenberg K P, Babakhani A, Idrobo J C, Vajtai R, Lou J, Ajayan P M 2013 Nat. Nanotechnol. 8 119 Google Scholar
[140]	Liu L, Park J, Siegel D A, McCarty K F, Clark K W, Deng W, Basile L, Idrobo J C, Li A P, Gu G 2014 Science 343 163 Google Scholar
[141]	Liu M, Li Y, Chen P, Sun J, Ma D, Li Q, Gao T, Gao Y, Cheng Z, Qiu X, Fang Y, Zhang Y, Liu Z 2014 Nano Lett. 14 6342 Google Scholar
[142]	Drost R, Uppstu A, Schulz F, Hamalainen S K, Ervasti M, Harju A, Liljeroth P 2014 Nano Lett. 14 5128 Google Scholar
[143]	Kim S W, Kim H J, Choi J H, Scheicher R H, Cho J H 2015 Phys. Rev. B 92 035443 Google Scholar
[144]	Zeng J, Chen W, Cui P, Zhang D B, Zhang Z 2016 Phys. Rev. B 94 235425 Google Scholar
[145]	Liu Z, Fu X, Zhang D B 2020 Nanoscale 12 19083 Google Scholar

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