-
The hybrid system of low-dimensional electronic and superconducting materials has been an attractive structure for studying mesoscopic transport and low-dimensional superconducting properties. Low-dimensional structures with strong spin-orbit coupling exhibit rich quantum phenomena combined with superconducting macroscopic quantum states, becoming an important platform for exploring novel physical properties and developing new topological quantum devices. The construction of hybrid superconducting devices based on high-quality one-dimensional electronic materials, and the exploration of quantum transport phenomena at the interface emerge as research frontier. It is crucial to understand the characteristic scattering mechanism and quantum transport process in these hybrid systems at the nanoscale. The study of the coupling mechanism between the charge state and the topological localized state, and the experimental probe of the intrinsic transport properties of the topological states are the key issues, which enable the development of the new principles and methods for novel superconducting nanoelectronic devices and topological quantum devices. Due to the competition of multiple energy scales and complicated bound states in these hybrid structures, the device physics and measurement schemes present unprecedented challenges. This paper reviews recent advances in hybrid superconducting devices based on one-dimensional electronic systems, focusing on the material systems based on semiconducting nanowires and carbon nanotubes. Semiconducting nanowires with strong spin-orbit coupling and large Landau g-factor are expected to support Majorana bound states and require further improvements in the material quality, interface between superconductors and nanowires, understanding of the transport mechanism, and detection scheme. The construction strategies of extending topological phase space, including broken symmetry, helical modes, semiconducting characteristics, and attenuation of the external magnetic field, are proposed and discussed in hybrid superconducting devices based on carbon nanotubes. We briefly introduce the main phenomena and experimental challenges, ranging from material and device physics. Finally, this paper summarizes and gives an outlook on the development and transport studies of topological quantum devices based on one-dimensional systems.
-
Keywords:
- One-dimensional electronics /
- Quantum transport /
- Topological device /
- Hybrid superconducting device
-
[1] Winkelmann C B, Roch N, Wernsdorfer W, Bouchiat V and Balestro F 2009 Nat. Phys. 5876
[2] De Franceschi S, Kouwenhoven L, Schönenberger C and Wernsdorfer W 2010 Nat. Nanotechnol. 5703
[3] Doh Y J, van Dam J A, Roest A L, Bakkers E P A M, Kouwenhoven L P and De Franceschi S 2005 Science 309272
[4] Jarillo-Herrero P, van Dam J A and Kouwenhoven L P 2006 Nature 439953
[5] Heersche H B, Jarillo-Herrero P, Oostinga J B, Vandersypen L M K and Morpurgo A F 2007 Nature 44656
[6] Qu F M, Yang F, Shen J, Ding Y, Chen J, Ji Z Q, Liu G T, Fan J, Jing X N, Yang C L and Lu L 2012 Sci. Rep. 2339
[7] Veldhorst M, Snelder M, Hoek M, Gang T, Guduru V K, Wang X L, Zeitler U, van der Wiel W G, Golubov A A, Hilgenkamp H and Brinkman A 2012 Nat. Mater. 11417
[8] Bockrath M, Cobden D H, Lu J, Rinzler A G, Smalley R E, Balents L and McEuen P L 1999 Nature 397598
[9] Deshpande V V, Chandra B, Caldwell R, Novikov D S, Hone J and Bockrath M 2009 Science 323106
[10] Deshpande V V and Bockrath M 2008 Nat. Phys. 4314
[11] Li S, Kang N, Caroff P and Xu H Q 2017 Phys. Rev. B 95014515
[12] Hensgens T, Fujita T, Janssen L, Li X, Van Diepen C J, Reichl C, Wegscheider W, Das Sarma S and Vandersypen L M K 2017 Nature 54870
[13] Xiang J, Vidan A, Tinkham M, Westervelt R M and Lieber C M 2006 Nat. Nanotechnol. 1208
[14] He J J, Tanaka Y and Nagaosa N 2023 Nat. Commun. 143330
[15] Herrmann L G, Portier F, Roche P, Yeyati A L, Kontos T and Strunk C 2010 Phys. Rev. Lett. 104026801
[16] Nayak C, Simon S H, Stern A, Freedman M and Das Sarma S 2008 Rev. Mod. Phys. 801083
[17] Maeno Y, Ikeda A, and Mattoni G 2024 Nat. Phys. 201712
[18] Dutta B, Umansky V, Banerjee M and Heiblum M 2022 Science 3771198
[19] Fu L, and Kane C L 2008 Phys. Rev. Lett. 100096407
[20] Mourik V, Zuo K, Frolov S M, Plissard S R, Bakkers E P A M and Kouwenhoven L P 2012 Science 3361003
[21] Yang F, Ding Y, Qu F M, Shen J, Chen J, Wei Z C, Ji Z Q, Liu G T, Fan J, Yang C L, Xiang T and Lu L 2012 Phys. Rev. B 85104508
[22] Wang D F, Kong L Y, Fan P, Chen H, Zhu S Y, Liu W Y, Cao L, Sun Y J, Du S X, Schneeloch J, Zhong R D, Gu G D, Fu L, Ding H and Gao H J 2018 Science 362333
[23] Xu L, Li P L, LüZ Z, Shen J, Qu F M, Liu G T and Lü L 2023 Acta Phys. Sin. 72177401(in Chinese)[徐磊, 李沛岭, 吕昭征, 沈洁, 屈凡明, 刘广同, 吕力2023物理学报72177401]
[24] Chu C G L, Wang A Q and Liao Z M 2023 Acta Phys. Sin. 72087401(in Chinese)[初纯光, 王安琦, 廖志敏2023物理学报72087401]
[25] Qi J J, Chen C Z, Song J T, Liu J, He K, Sun Q F and Xie X C 2025 Sci. China Phys. Mech. Astron. 68227401
[26] Lyu B S, Lou S, Shen P Y and Shi Z W 2024 PHYSICS 53683(in Chinese)[吕博赛, 娄硕, 沈沛约, 史志文2024物理53683]
[27] Yazdani A, von Oppen F, Halperin B I and Yacoby A 2023 Science 3801235
[28] Lutchyn R M, Sau J D and Das Sarma S 2010 Phys. Rev. Lett. 105077001
[29] Oreg Y, Refael G and von Oppen F 2010 Phys. Rev. Lett. 105177002
[30] Lutchyn R M, Bakkers E P A M, Kouwenhoven L P, Krogstrup P, Marcus C M and Oreg Y 2018 Nat. Rev. Mater. 352
[31] Dmytruk O and Klinovaja J 2018 Phys. Rev. B 97155409
[32] Nichele F, Chesi S, Hennel S, Wittmann A, Gerl C, Wegscheider W, Loss D, Ihn T and Ensslin K 2014 Phys. Rev. Lett. 113046801
[33] Miserev D S, Srinivasan A, Tkachenko O A, Tkachenko V A, Farrer I, Ritchie D A, Hamilton A R and Sushkov O P 2017 Phys. Rev. Lett. 119116803
[34] Nilsson H A, Caroff P, Thelander C, Larsson M, Wagner J B, Wernersson L E, Samuelson L and Xu H Q 2009 Nano Lett. 93151
[35] Fasth C, Fuhrer A, Samuelson L, Golovach V N and Loss D 2007 Phys. Rev. Lett. 98266801
[36] Pribiag V S, Nadj-Perge S, Frolov S M, van den Berg J W G, van Weperen I, Plissard S R, Bakkers E P A M and Kouwenhoven L P 2013 Nat. Nanotechnol. 8170
[37] Das A, Ronen Y, Most Y, Oreg Y, Heiblum M and Shtrikman H 2012 Nat. Phys. 8887
[38] Deng M T, Yu C L, Huang G Y, Larsson M, Caroff P and Xu H Q 2012 Nano Lett. 126414
[39] Nadj-Perge S, Drozdov I K, Li J, Chen H, Jeon S, Seo J, MacDonald A H, Bernevig B A and Yazdani A 2014 Science 346602
[40] Sasaki S, Kriener M, Segawa K, Yada K, Tanaka Y, Sato M and Ando Y 2011 Phys. Rev. Lett. 107217001
[41] Fornieri A, Whiticar A M, Setiawan F, Marin E P, Drachmann A C C, Keselman A, Gronin S, Thomas C, Wang T, Kallaher R, Gardner G C, Berg E, Manfra M J, Stern A, Marcus C M and Nichele F 2019 Nature 56989
[42] 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 H, Qian D, Zhou Y, Fu L, Li S C, Zhang F C and Jia J F 2016 Phys. Rev. Lett. 116257003
[43] Prada E, San-Jose P, de Moor M W A, Geresdi A, Lee E J H, Klinovaja J, Loss D, Nygård J, Aguado R and Kouwenhoven L P 2020 Nat. Rev. Phys. 2575
[44] Li S, Kang N, Fan D X, Wang L B, Huang Y Q, Caroff P and Xu H Q 2016 Sci. Rep. 624822
[45] Plissard S R, van Weperen I, Car D, Verheijen M A, Immink G W G, Kammhuber J, Cornelissen L J, Szombati D B, Geresdi A, Frolov S M, Kouwenhoven L P and Bakkers E P A M 2013 Nat. Nanotechnol. 8859
[46] He J, Pan D, Yang G, Liu M, Ying J, Lyu Z, Fan J, Jing X, Liu G, Lu B, Liu D E, Zhao J, Lu L and Qu F 2020 Phys. Rev. B 102075121
[47] Luthi F, Stavenga T, Enzing O W, Bruno A, Dickel C, Langford N K, Rol M A, Jespersen T S, Nygård J, Krogstrup P and DiCarlo L 2018 Phys. Rev. Lett. 120100502
[48] Hays M, Fatemi V, Bouman D, Cerrillo J, Diamond S, Serniak K, Connolly T, Krogstrup P, Nygård J, Levy Yeyati A, Geresdi A and Devoret M H 2021 Science 373430
[49] Thomas C, Hatke A T, Tuaz A, Kallaher R, Wu T, Wang T, Diaz R E, Gardner G C, Capano M A and Manfra M J 2018 Phys. Rev. Mater. 2104602
[50] Lee J S, Shojaei B, Pendharkar M, Feldman M, Mukherjee K and Palmstrøm C J 2019 Phys. Rev. Mater. 3014603
[51] Lei Z, Lehner C A, Cheah E, Karalic M, Mittag C, Alt L, Scharnetzky J, Wegscheider W, Ihn T and Ensslin K 2019 Appl. Phys. Lett. 115012101
[52] Mittag C, Karalic M, Lei Z, Thomas C, Tuaz A, Hatke A T, Gardner G C, Manfra M J, Ihn T and Ensslin K 2019 Phys. Rev. B 100075422
[53] Microsoft Quantum 2023 Phys. Rev. B 107245423
[54] Krogstrup P, Ziino N L B, Chang W, Albrecht S M, Madsen M H, Johnson E, Nygård J, Marcus C M and Jespersen T S 2015 Nat. Mater. 14400
[55] Vaitiek·enas S, Krogstrup P and Marcus C M 2020 Phys. Rev. B 101060507
[56] Deng M T, Vaitiek·enas S, Hansen E B, Danon J, Leijnse M, Flensberg K, Nygård J, Krogstrup P and Marcus C M 2016 Science 3541557
[57] Albrecht S M, Higginbotham A P, Madsen M, Kuemmeth F, Jespersen T S, Nygård J, Krogstrup P and Marcus C M 2016 Nature 531206
[58] Albrecht S M, Hansen E B, Higginbotham A P, Kuemmeth F, Jespersen T S, Nygård J, Krogstrup P, Danon J, Flensberg K and Marcus C M 2017 Phys. Rev. Lett. 118137701
[59] Bordin A, Wang G, Liu C-X, ten Haaf S L D, van Loo N, Mazur G P, Xu D, van Driel D, Zatelli F, Gazibegovic S, Badawy G, Bakkers E P A M, Wimmer M, Kouwenhoven L P and Dvir T 2023 Phys. Rev. X 13031031
[60] Mazur G P, van Loo N, van Driel D, Wang J Y, Badawy G, Gazibegovic S, Bakkers E P A M and Kouwenhoven L P 2022 arXiv: 2211. 14283[cond-mat.supr-con]
[61] Pendharkar M, Zhang B, Wu H, Zarassi A, Zhang P, Dempsey C P, Lee J S, Harrington S D, Badawy G, Gazibegovic S, Op het Veld R L M, Rossi M, Jung J, Chen A-H, Verheijen M A, Hocevar M, Bakkers E P A M, Palmstrøm C J and Frolov S M 2021 Science 372508
[62] Kanne T, Marnauza M, Olsteins D, Carrad D J, Sestoft J E, de Bruijckere J, Zeng L, Johnson E, Olsson E, Grove-Rasmussen K and Nygård J 2021 Nat. Nanotechnol. 16776
[63] Vaitiek·enas S, Liu Y, Krogstrup P and Marcus C M 2021 Nat. Phys. 1743
[64] Liu Y, Vaitiek·enas S, Martí-Sánchez S, Koch C, Hart S, Cui Z, Kanne T, Khan S A, Tanta R, Upadhyay S, Cachaza M E, Marcus C M, Arbiol J, Moler K A and Krogstrup P 2020 Nano Lett. 20456
[65] Vaitiek·enas S, Winkler G W, van Heck B, Karzig T, Deng M T, Flensberg K, Glazman L I, Nayak C, Krogstrup P, Lutchyn R M and Marcus C M 2020 Science 3671442
[66] Valentini M, Peñaranda F, Hofmann A, Brauns M, Hauschild R, Krogstrup P, San-Jose P, Prada E, Aguado R and Katsaros G 2021 Science 37382
[67] Woods B D, Das Sarma S and Stanescu T D 2019 Phys. Rev. B 99161118
[68] San-Jose P, PayáC, Marcus C M, Vaitiek·enas S and Prada E 2023 Phys. Rev. B 107155423
[69] San-Jose P, Prada E and Aguado R 2012 Phys. Rev. Lett. 108257001
[70] Legg H F, Laubscher K, Loss D and Klinovaja J 2023 Phys. Rev. B 108214520
[71] Wimmer M, Akhmerov A R, Dahlhaus J P and Beenakker C W J 2011 New. J. Phys. 13053016
[72] Danon J, Hellenes A B, Hansen E B, Casparis L, Higginbotham A P and Flensberg K 2020 Phys. Rev. Lett. 124036801
[73] Pikulin D I, van Heck B, Karzig T, Martinez E A, Nijholt B, Laeven T, Winkler G W, Watson J D, Heedt S, Temurhan M, Svidenko V, Lutchyn R M, Thomas M, de Lange G, Casparis L and Nayak C 2021 arXiv: 2103. 12217. [cond-mat.mes-hall]
[74] Hess R, Legg H F, Loss D and Klinovaja J 2023 Phys. Rev. Lett. 130207001
[75] Rosdahl T Ö, Vuik A, Kjaergaard M and Akhmerov A R 2018 Phys. Rev. B 97045421
[76] Banerjee A, Lesser O, Rahman M A, Thomas C, Wang T, Manfra M J, Berg E, Oreg Y, Stern A and Marcus C M 2023 Phys. Rev. Lett. 130096202
[77] Pan H, Sau J D and Das Sarma S 2021 Phys. Rev. B 103014513
[78] Tsintzis A, Souto R S, Flensberg K, Danon J and Leijnse M 2024 PRX Quantum 5010323
[79] Leijnse M and Flensberg K 2012 Phys. Rev. B 86134528
[80] Dvir T, Wang G, van Loo N, Liu C X, Mazur G P, Bordin A, ten Haaf S L D, Wang J Y, van Driel D, Zatelli F, Li X, Malinowski F K, Gazibegovic S, Badawy G, Bakkers E P A M, Wimmer M and Kouwenhoven L P 2023 Nature 614445
[81] Bordin A, Li X, van Driel D, Wolff J C, Wang Q, ten Haaf S L D, Wang G, van Loo N, Kouwenhoven L P and Dvir T 2024 Phys. Rev. Lett. 132056602
[82] Laird E A, Kuemmeth F, Steele G A, Grove-Rasmussen K, Nygård J, Flensberg K and Kouwenhoven L P 2015 Rev. Mod. Phys. 87703
[83] Minot E D, Yaish Y, Sazonova V, Park J Y, Brink M and McEuen P L 2003 Phys. Rev. Lett. 90156401
[84] Minot E D, Yaish Y, Sazonova V and McEuen P L 2004 Nature 428536
[85] Jhang S H, Marganska M, Skourski Y, Preusche D, Grifoni M, Wosnitza J and Strunk C 2011 Phys. Rev. Lett. 106096802
[86] Deshpande V V, Chandra B, Caldwell R, Novikov D S, Hone J and Bockrath M 2009 Science 323106
[87] Deng X, Gong K, Wang Y, Liu Z, Jiang K, Kang N and Zhang Z 2023 Phys. Rev. Lett. 130207002
[88] Jin Z, Chu H B, Wang J Y, Hong J X, Tan W C and Li Y 2007 Nano Lett. 72073
[89] Wang X S, Li Q Q, Xie J, Jin Z, Wang J Y, Li Y, Jiang K L and Fan S S 2009 Nano Lett. 93137
[90] Kong J, Yenilmez E, Tombler T W, Kim W, Dai H J, Laughlin R B, Liu L, Jayanthi C S and Wu S Y 2001 Phys. Rev. Lett. 87106801
[91] Liang W J, Bockrath M, Bozovic D, Hafner J H, Tinkham M and Park H 2001 Nature 411665
[92] Javey A, Guo J, Wang Q, Lundstrom M and Dai H J 2003 Nature 424654
[93] Zhang Z Y, Liang X L, Wang S, Yao K, Hu Y F, Zhu Y Z, Chen Q, Zhou W W, Li Y, Yao Y G, Zhang J and Peng L M 2007 Nano Lett. 73603
[94] Urgell C, Yang W, De Bonis S L, Samanta C, Esplandiu M J, Dong Q, Jin Y and Bachtold A 2020 Nat. Phys. 1632
[95] Wen Y, Ares N, Schupp F J, Pei T, Briggs G A D and Laird E A 2020 Nat. Phys. 1675
[96] Wang S, Zhao S H, Shi Z W, Wu F Q, Zhao Z Y, Jiang L L, Watanabe K, Taniguchi T, Zettl A, Zhou C W and Wang F 2020 Nat. Mater. 19986
[97] Wu C C, Liu C H and Zhong Z H 2010 Nano Lett. 101032
[98] Pei F, Laird E A, Steele G A and Kouwenhoven L P 2012 Nat. Nanotechnol. 7630
[99] Zhang R F, Ning Z Y, Zhang Y Y, Xie H H, Zhang Q, Qian W Z, Chen Q and Wei F 2013 Nanoscale 56584
[100] Zhang R F, Ning Z Y, Zhang Y Y, Zheng Q S, Chen Q, Xie H H, Zhang Q, Qian W Z and Wei F 2013 Nat. Nanotechnol. 8912
[101] Zhang R F, Zhang Y Y, Zhang Q, Xie H H, Wang H D, Nie J Q, Wen Q and Wei F 2013 Nat. Commun. 41727
[102] Shen B Y, Zhu Z X, Zhang J Y, Xie H H, Bai Y X and Wei F 2018 Adv. Mater. 301705844
[103] Kasumov A Y, Deblock R, Kociak M, Reulet B, Bouchiat H, Khodos I I, Gorbatov Y B, Volkov V T, Journet C and Burghard M 1999 Science 2841508
[104] Mergenthaler M, Schupp F J, Nersisyan A, Ares N, Baumgartner A, Schönenberger C, Briggs G A D, Leek P J and Laird E A 2021 Mater. Quantum. Technol. 1035003
[105] Bauml C, Bauriedl L, Marganska M, Grifoni M, Strunk C and Paradiso N 2021 Nano Lett. 218627
[106] Sau J D and Tewari S 2013 Phys. Rev. B 88054503
[107] Huertas-Hernando D, Guinea F and Brataas A 2006 Phys. Rev. B 74155426
[108] Min H, Hill J E, Sinitsyn N A, Sahu B R, Kleinman L and MacDonald A H 2006 Phys. Rev. B 74165310
[109] Kuemmeth F, Ilani S, Ralph D C and McEuen P L 2008 Nature 452448
[110] Marganska M, Milz L, Izumida W, Strunk C and Grifoni M 2018 Phys. Rev. B 97075141
[111] Milz L, Izumida W, Grifoni M and Marganska M 2019 Phys. Rev. B 100155417
[112] Zhou B T, Yuan N F Q, Jiang H L and Law K T 2016 Phys. Rev. B 93180501
[113] Xi X X, Wang Z F, Zhao W W, Park J H, Law K T, Berger H, Forro L, Shan J and Mak K F 2016 Nat. Phys. 12139
[114] Saito Y, Nakamura Y, Bahramy M S, Kohama Y, Ye J T, Kasahara Y, Nakagawa Y, Onga M, Tokunaga M, Nojima T, Yanase Y and Iwasa Y 2016 Nat. Phys. 12144
[115] Lu J M, Zheliuk O, Leermakers I, Yuan N F Q, Zeitler U, Law K T and Ye J T 2015 Science 3501353
[116] Ye J T, Zhang Y J, Akashi R, Bahramy M S, Arita R and Iwasa Y 2012 Science 3381193
[117] de la Barrera S C, Sinko M R, Gopalan D P, Sivadas N, Seyler K L, Watanabe K, Taniguchi T, Tsen A W, Xu X D, Xiao D and Hunt B M 2018 Nat. Commun. 91427
[118] Fatemi V, Wu S F, Cao Y, Bretheau L, Gibson Q D, Watanabe K, Taniguchi T, Cava R J and Jarillo-Herrero P 2018 Science 362926
[119] Lesser O, Shavit G and Oreg Y 2020 Phys. Rev. Res. 2023254
[120] Han T Y, Shen J Y, Yuan N F Q, Lin J X Z, Wu Z F, Wu Y Y, Xu S G, An L H, Long G, Wang Y W, Lortz R and Wang N 2018 Phys. Rev. B 97060505
[121] Kim M, Park G H, Lee J, Lee J H, Park J, Lee H, Lee G H and Lee H J 2017 Nano Lett. 176125
[122] Klinovaja J, Gangadharaiah S and Loss D 2012 Phys. Rev. Lett. 108196804
[123] Klinovaja J, Schmidt M J, Braunecker B and Loss D 2011 Phys. Rev. Lett. 106156809
[124] Klinovaja J, Schmidt M J, Braunecker B and Loss D 2011 Phys. Rev. B 84085452
[125] Egger R and Flensberg K 2012 Phys. Rev. B 85235462
[126] Murra P, Inotani D, and Nitta M 2022 Phys. Rev. B 105214525
[127] Desjardins M M, Contamin L C, Delbecq M R, Dartiailh M C, Bruhat L E, Cubaynes T, Viennot J J, Mallet F, Rohart S, Thiaville A, Cottet A and Kontos T 2019 Nat. Mater. 181060
[128] Klinovaja J, Stano P and Loss D 2012 Phys. Rev. Lett. 109236801
[129] Klinovaja J, Stano P, Yazdani A and Loss D 2013 Phys. Rev. Lett. 111186805
[130] Kjaergaard M, Wolms K and Flensberg K 2012 Phys. Rev. B 85020503
[131] Klinovaja J and Loss D 2013 Phys. Rev. X 3011008
[132] Cottet A, Kontos T and Doucot B 2013 Phys. Rev. B 88195415
[133] van Woerkom D J, Proutski A, van Heck B, Bouman D, Vayrynen J I, Glazman L I, Krogstrup P, Nygard J, Kouwenhoven L P and Geresdi A 2017 Nat. Phys. 13876
[134] Vayrynen J I, Rastelli G, Belzig W and Glazman L I 2015 Phys. Rev. B 92134508
[135] Dartiailh M C, Kontos T, Doucot B and Cottet A 2017 Phys. Rev. Lett. 118126803
[136] Mergenthaler M, Nersisyan A, Patterson A, Esposito M, Baumgartner A, Schönenberger C, Briggs G A D, Laird E A and Leek P J 2021 Phys. Rev. Appl. 15064050
[137] Fatin G L, Matos-Abiague A, Scharf B and Zutic I 2016 Phys. Rev. Lett. 117077002
[138] Liu L J, Han J, Xu L, Zhou J S, Zhao C Y, Ding S J, Shi H W, Xiao M M, Ding L, Ma Z, Jin C H, Zhang Z Y and Peng L M 2020 Science 368850
[139] Mukhopadhyay R, Kane C L and Lubensky T C 2001 Phys. Rev. B 64045120
Metrics
- Abstract views: 492
- PDF Downloads: 4
- Cited By: 0