Special Issue:
SPECIAL TOPIC — Twistronics
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Progress on band structure engineering of twisted bilayer and two-dimensional moirè heterostructures |
Wei Yao(姚维)1, Martin Aeschlimann1, and Shuyun Zhou(周树云)2,† |
1 Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, 67663 Kaiserslautern, Germany; 2 State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China |
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Abstract Artificially constructed van der Waals heterostructures (vdWHs) provide an ideal platform for realizing emerging quantum phenomena in condensed matter physics. Two methods for building vdWHs have been developed: stacking two-dimensional (2D) materials into a bilayer structure with different lattice constants, or with different orientations. The interlayer coupling stemming from commensurate or incommensurate superlattice pattern plays an important role in vdWHs for modulating the band structures and generating new electronic states. In this article, we review a series of novel quantum states discovered in two model vdWH systems -graphene/hexagonal boron nitride (hBN) hetero-bilayer and twisted bilayer graphene (tBLG), and discuss how the electronic structures are modified by such stacking and twisting. We also provide perspectives for future studies on hetero-bilayer materials, from which an expansion of 2D material phase library is expected.
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Received: 04 June 2020
Revised: 29 September 2020
Accepted manuscript online: 05 November 2020
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PACS:
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73.21.-b
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(Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems)
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73.22.Pr
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(Electronic structure of graphene)
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79.60.-i
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(Photoemission and photoelectron spectra)
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Fund: W.Y. and M.A. thank B. Stadtmüller (University of Kaiserslautern) for useful discussions. S.Z. acknowledges support from the National Natural Science Foundation of China (Grant No. 11725418), the National Key Research and Development Program of China (Grant No. 2016YFA0301004), Science Challenge Project, China (Grant No. TZ2016004), Beijing Advanced Innovation Center for Future Chip (ICFC), and Tsinghua University Initiative Scientific Research Program. W.Y. and M.A. are funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) -TRR 173 -268565370 (projects A02). |
Corresponding Authors:
†Corresponding author. E-mail: mjansafi@mail.ustc.edu.cn
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Cite this article:
Wei Yao(姚维), Martin Aeschlimann, and Shuyun Zhou(周树云) Progress on band structure engineering of twisted bilayer and two-dimensional moirè heterostructures 2020 Chin. Phys. B 29 127304
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[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A Science 306 666 https://science.sciencemag.org/content/306/5696/6662004 [2] Castro Neto A H, Guinea F, Peres N M R, Novoselov K S and Geim A K Rev. Mod. Phys. 81 109 https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.81.1092009 [3] Geim A K and Novoselov K S Nat. Mater. 6 183 https://www.nature.com/articles/nmat18492007 [4] Novoselov K S, Jiang D, Schedin F, Booth T J, Khotkevich V V, Morozov S V and Geim A K Proc. Natl. Acad. Sci. USA 102 10451 https://www.pnas.org/content/102/30/10451.full2005 [5] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V and Firsov A A Nature 438 197 https://www.nature.com/articles/nature042332005 [6] Zhang Y B, Tan Y W, Stormer H L and Kim P Nature 438 201 https://www.nature.com/articles/nature042352005 [7] Zhou S Y, Gweon G H, Graf J, Fedorov A V, Spataru C D, Diehl R D, Kopelevich Y, Lee D H, Louie S G and Lanzara A Nat. Phys. 2 595 https://www.nature.com/articles/nphys3932006 [8] Mak K F, He K L, Shan Jie and Heinz T F Nat. Nanotechnol. 7 494 https://www.nature.com/articles/nnano.2012.962012 [9] Zeng H L, Dai J F, Yao W, Xiao D and Cui X D Nat. Nanotechnol. 7 490 https://www.nature.com/articles/nnano.2012.952012 [10] Cao T, Wang G, Han W P, Ye H Q, Zhu C R, Shi J R, Niu Q, Tan P H, Wang E G, Liu B L and Feng J Nat. Commun. 3 887 https://www.nature.com/articles/ncomms18822012 [11] Mounet N, Gibertini M, Schwaller P, Campi D, Merkys A, Marrazzo A, Sohier T, Castelli I E, Cepellotti A, Pizzi G and Marzari N Nat. Nanotechnol. 13 246 https://www.nature.com/articles/s41565-017-0035-52018 [12] Zhang K L, Feng Y L, Wang F, Yang Z C and Wang J J. Mater. Chem. C 5 11992 https://pubs.rsc.org/en/content/articlelanding/2017/tc/c7tc04300g#!divAbstract2017 [13] Zhang Y, He K, Chang C Z, Song C L, Wang L L, Chen X, Jia J F, Fang Z, Dai X, Shan W Y, Shen S Q, Niu Q, Qi X L, Zhang S C, Ma X C and Xue Q K Nat. Phys. 6 584 https://www.nature.com/articles/nphys16892010 [14] Zhang Y, Chang T R, Zhou B, Cui Y T, Yan H, Liu Z K, Schmitt F, Lee J, Moore R, Chen Y L, Lin H, Jeng H T, Mo S K, Hussain Z, Bansil A and Shen Z X Nat. Nanotechnol. 9 111 https://www.nature.com/articles/nnano.2013.2772014 [15] Xi X X, Zhao L, Wang Z F, Berger H, Forró L, Shan J and Mak K F Nat. Nanotechnol. 10 765 https://www.nature.com/articles/nnano.2015.1432015 [16] Yu Y J, Ma L G, Cai P, Zhong R D, Ye C, Shen J, Gu G D, Chen X H and Zhang Y B Nature 575 156 https://www.nature.com/articles/s41586-019-1718-x2019 [17] Qian X F, Liu J W, Fu L and Li J Science 3461344 https://science.sciencemag.org/content/346/6215/13442014 [18] Tang S J, Zhang C F, Wong D, Pedramrazi Z, Tsai H Z, Jia C J, Moritz B, Claassen M, Ryu H, Kahn S, Jiang J, Yan H, Hashimoto M, Lu D H, Moore R G, Hwang C C, Hwang C, Hussain Z, Chen Y L, Ugeda M M, Liu Z, Xie X M, Devereaux T P, Crommie M F, Mo S K and Shen Z X Nat. Phys. 13 683 https://www.nature.com/articles/nphys41742017 [19] Wu S F, Fatemi V, Gibson Q D, Watanabe K, Taniguchi T, Cava R J and Jarillo-Herrero P Science 359 76 https://science.sciencemag.org/content/359/6371/762018 [20] Geim A K and Grigorieva I V Nature 499 419 https://www.nature.com/articles/nature123852013 [21] Novoselov K S, Mishchenko A, Carvalho A, Castro Neto A H Science 353 aac9439 https://science.sciencemag.org/content/353/6298/aac94392016 [22] Anderson P W Science 177 393 https://science.sciencemag.org/content/177/4047/3931972 [23] Park C H, Yang L, Son Y W, Cohen M L and Louie S G Phys. Rev. Lett. 101 126804 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.101.1268042008 [24] Yankowitz M, Xue J M, Cormode D, Sanchez-Yamagishi J D, Watanabe K, Taniguchi T, Jarillo-Herrero P, Jacquod P and LeRoy B J Nat. Phys. 8 382 https://www.nature.com/articles/nphys22722012 [25] Ponomarenko L A, Gorbachev R V, Yu G L, Elias D C, Jalil R, Patel A A, Mishchenko A, Mayorov A S, Woods C R, Wallbank J R, Mucha-Kruczynski M, Piot B A, Potemski M, Grigorieva I V, Novoselov K S, Guinea F, Fal'ko V I and Geim A K Nature 497 594 https://www.nature.com/articles/nature121872013 [26] Wang E Y, Lu X B, Ding S J, Yao W, Yan M Z, Wan G L, Deng K, Wang S P, Chen G R, Ma L G, Jung J, Fedorov A V, Zhang Y B, Zhang G Y and Zhou S Y Nat. Phys. 121111 https://www.nature.com/articles/nphys38562016 [27] Bistritzer R and MacDonald A H Proc. Natl. Acad. Sci. USA 108 12233 https://www.pnas.org/content/108/30/122332011 [28] 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 and Jarillo-Herrero P Nature 556 80 https://www.nature.com/articles/nature261542018 [29] Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E and Jarillo-Herrero P Nature 556 43 https://www.nature.com/articles/nature261602018 [30] Yao W, Wang E Y, Bao C H, Zhang Y O, Zhang K N, Bao K J, Chan C K, Chen C Y, Avila J, Asensio M C, Zhu J Y and Zhou S Y Proc. Natl. Acad. Sci. USA 1156928 https://www.pnas.org/content/115/27/69282018 [31] Ahn S J, Moon P, Kim T H, Kim H W, Shin H C, Kim E H, Cha H W, Kahng S J, Kim P, Koshino M, Son Y W, Yang C W and Ahn J R Science 361 782 https://science.sciencemag.org/content/361/6404/7822018 [32] Peltonen T J, Ojajärvi R and Heikkilä T T Phys. Rev. B 98 220504(R) https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.2205042018 [33] Pletikosić I, Kralj M, Pervan P, Brako R, Coraux J, N'Diaye A T, Busse C and Michely T Phys. Rev. Lett. 102 056808 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.102.0568082009 [34] Lopes dos Santos J M B, Peres N M R and Castro Neto A H Phys. Rev. B 86 155449 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.86.1554492012 [35] Park C H, Yang L, Son Y W, Cohen M L and Louie S G Nat. Phys. 4 213 https://www.nature.com/articles/nphys8902008 [36] Dean C R, Young A F, Meric I, Lee C, Wang L, Sorgenfrei S, Watanabe K, Taniguchi T, Kim P, Shepard K L and Hone J Nat. Nanotechnol. 5 722 https://www.nature.com/articles/nnano.2010.1722010 [37] Xue J M, Sanchez-Yamagishi J, Bulmash D, Jacquod P, Deshpande A, Watanabe K, Taniguchi T, Jarillo-Herrero P and LeRoy B J Nat. Mater. 10 282 https://www.nature.com/articles/nmat29682011 [38] Roth S, Matsui F, Greber T and Osterwalder J Nano Lett. 13 2668 https://pubs.acs.org/doi/10.1021/nl400815w2013 [39] Dean C R, Wang L, Maher P, Forsythe C, Ghahari F, Gao Y, Katoch J, Ishigami M, Moon P, Koshino M, Taniguchi T, Watanabe K, Shepard K L, Hone J and Kim P Nature 497 598 https://www.nature.com/articles/nature121862013 [40] Yang W, Lu X B, Chen G R, Wu S, Xie G B, Cheng M, Wang D M, Yang R, Shi D X, Watanabe K, Taniguchi T, Voisin C, Pla\ccais B, Zhang Y B and Zhang G Y Nano Lett. 16 2387 https://pubs.acs.org/doi/10.1021/acs.nanolett.5b051612016 [41] Hunt B, Sanchez-Yamagishi J D, Young A F, Yankowitz M, LeRoy B J, Watanabe K, Taniguchi T, Moon P, Koshino M, Jarillo-Herrero P and Ashoori R C Science 3401427 https://science.sciencemag.org/content/340/6139/14272013 [42] Chen G R, Sui M Q, Wang D M, Wang S P, Jung J, Moon P, Adam S, Watanabe K, Taniguchi T, Zhou S Y, Koshino M, Zhang G Y and Zhang Y B Nano Lett. 17 3576 https://pubs.acs.org/doi/10.1021/acs.nanolett.7b007352017 [43] Wang Z H, Wang Y B, Yin J, Tóvári E, Yang Y, Lin L, Holwill M, Birkbeck J, Perello D J, Xu S G, Zultak J, Gorbachev R V, Kretinin A V, Taniguchi T, Watanabe K, Morozov S V, Andelković M, Milovanović S P, Covaci L, Peeters F M, Mishchenko A, Geim A K, Novoselov K S, Fal'ko V I, Knothe A and Woods C R Sci. Adv. 5 eaay8897 https://advances.sciencemag.org/content/5/12/eaay88972019 [44] Wang L, Gao Y D, Wen B, Han Z, Taniguchi T, Watanabe K, Koshino M, Hone J and Dean C R Science 3501231 https://science.sciencemag.org/content/350/6265/12312015 [45] Wallbank J R, Patel A A, Mucha-Kruczy\'nski M, Geim A K and Fal'ko V I Phys. Rev. B 87 245408 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.2454082013 [46] Ortix C, Yang L P and van den Brink J Phys. Rev. B 86 081405(R) https://journals.aps.org/prb/abstract/10.1103/PhysRevB.86.0814052012 [47] Jung J, Raoux A, Qiao Z H and MacDonald A H Phys. Rev. B 89 205414 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.2054142014 [48] Moon P and Koshino M Phys. Rev. B 90 155406 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.90.1554062014 [49] Yang W, Chen G R, Shi Z W, Liu C C, Zhang L C, Xie G B, Cheng M, Wang D M, Yang R, Shi D X, Watanabe K, Taniguchi T, Yao Y G, Zhang Y B and Zhang G Y Nat. Mater. 12 792 https://www.nature.com/articles/nmat36952013 [50] Wang E Y, Chen G R, Wan G L, Lu X B, Chen C Y, Avila J, Fedorov A V, Zhang G Y, Asensio M C, Zhang Y B and Zhou S Y J. Phys.: Condens. Matter 28 444002 https://iopscience.iop.org/article/10.1088/0953-8984/28/44/4440022016 [51] Cao Y, Luo J Y, Fatemi V, Fang S, Sanchez-Yamagishi J D, Watanabe K, Taniguchi T, Kaxiras E and Jarillo-Herrero P Phys. Rev. Lett. 117 116804 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.117.1168042016 [52] Kim K, DaSilva A, Huang S Q, Fallahazad B, Larentis S, Taniguchi T, Watanabe K, LeRoy B J, MacDonald A H and Tutuc E Proc. Natl. Acad. Sci. U.S.A. 1143364 https://www.pnas.org/content/114/13/33642017 [53] Wang E Y2020 Photoemission Spectroscopy Studies of 2D Material Heterostructures(Singapore: Springer) pp. 53-62 https://link.springer.com/book/10.1007/978-981-15-1447-0 Angle-Resolved [54] Kiss T, Yokoya T, Chainani A, Shin S, Hanaguri T, Nohara M and Takagi H Nat. Phys. 3 720 https://www.nature.com/articles/nphys6992007 [55] Nandkishore R, Levitov L S and Chubukov A V Nat. Phys. 8 158 https://www.nature.com/articles/nphys22082012 [56] Li G H, Luican A, Lopes dos Santos J M B, Castro Neto A H, Reina A, Kong J and Andrei E Y Nat. Phys. 6 109 https://www.nature.com/articles/nphys14632010 [57] Luican A, Li G H, Reina A, Kong J, Nair R R, Novoselov K S, Geim A K and Andrei E Y Phys. Rev. Lett. 106 126802 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.106.1268022011 [58] Ohta T, Robinson J T, Feibelman P J, Bostwick A, Rotenberg E and Beechem T E Phys. Rev. Lett. 109 186807 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.1868072012 [59] Peng H, Schröter N B M, Yin J B, Wang H, Chung T F, Yang H F, Ekahana S, Liu Z K, Jiang J, Yang L X, Zhang T, Chen C, Ni H, Barinov A, Chen Y P, Liu Z F, Peng H L and Chen Y L Adv. Mater. 29 1606741 https://onlinelibrary.wiley.com/doi/full/10.1002/adma.2016067412017 [60] Brihuega I, Mallet P, González-Herrero H, de Laissardi\`ere G T, Ugeda M M, Magaud L,Gómez-Rodrìguez J M, Ynduráin F and Veuillen J Y Phys. Rev. Lett. 109 196802 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.1968022012 [61] Yan W, Liu M X, Dou R F, Meng L, Feng L, Chu Z D, Zhang Y F, Liu Z F, Nie J C and He L Phys. Rev. Lett. 109 126801 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.1268012012 [62] Wong D, Wang Y, Jung J, Pezzini S, DaSilva A M, Tsai H Z, Jung H S, Khajeh R, Kim Y K, Lee J W, Kahn S, Tollabimazraehno S, Rasool H, Watanabe K, Taniguchi T, Zettl A, Adam S, MacDonald A H and Crommie M F Phys. Rev. B 92 155409 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.1554092015 [63] Yan W, Meng L, Liu M X, Qiao J B, Chu Z D, Dou R F, Liu Z F, Nie J C, Naugle D G and He L Phys. Rev. B 90 115402 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.90.1154022014 [64] Cherkez V, de Laissardi\`ere G T, Mallet P and Veuillen J Y Phys. Rev. B 91 155428 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.91.1554282015 [65] Yan W, He W Y, Chu Z D, Liu M X, Meng L, Dou R F, Zhang Y F, Liu Z F, Nie J C and He L Nat. Commun. 4 2159 https://www.nature.com/articles/ncomms31592013 [66] Kim K, Coh S, Tan L Z, Regan W, Yuk J M, Chatterjee E, Crommie M F, Cohen M L, Louie S G and Zettl A Phys. Rev. Lett. 108 246103 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.2461032012 [67] Havener R W, Zhuang H L, Brown L, Hennig R G and Park J W Nano Lett. 12 3162 https://pubs.acs.org/doi/10.1021/nl301137k2012 [68] Yin J B, Wang H, Peng H, Tan Z J, Liao L, Lin L, Sun X, Koh A L, Chen Y L, Peng H L and Liu Z F Nat. Commun. 7 10699 https://www.nature.com/articles/ncomms106992016 [69] Xin W, Chen X D, Liu Z B, Jiang W S, Gao X G, Jiang X Q, Chen Y S and Tian J G Adv. Optical Mater. 4 1703 https://onlinelibrary.wiley.com/doi/abs/10.1002/adom.2016002782016 [70] Liao L, Wang H, Peng H, Yin J B, Koh A L, Chen Y L, Xie Q, Peng H L and Liu Z F Nano Lett. 15 5585 https://pubs.acs.org/doi/abs/10.1021/acs.nanolett.5b022402015 [71] Lopes dos Santos J M B, Peres N M R and Castro Neto A H Phys. Rev. Lett. 99 256802 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.99.2568022007 [72] Wu J B, Zhang X, Tan P H, Feng Z H and Li J Acta Phys. Sin. 62 157302 (in Chinese) http://wulixb.iphy.ac.cn/article/id/548762013 [73] Shallcross S, Sharma S, Kandelaki E and Pankratov O A Phys. Rev. B 81 165105 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.81.1651052010 [74] de Laissardi\`ere G T, Mayou D and Magaud L Nano Lett. 10 804 https://pubs.acs.org/doi/10.1021/nl902948m2010 [75] Kandyba V, Yablonskikh M and Barinov A Sci. Rep. 5 16388 https://www.nature.com/articles/srep163882015 [76] Sprinkle M, Siegel D, Hu Y, Hicks J, Tejeda A, Taleb-Ibrahimi A, Le F\`evre P, Bertran F, Vizzini S, Enriquez H, Chiang S, Soukiassian P, Berger C, de Heer W A, Lanzara A and Conrad E H Phys. Rev. Lett. 103 226803 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.103.2268032009 [77] Razado-Colambo I, Avila J, Nys J P, Chen C Y, Wallart X, Asensio M C and Vignaud D Sci. Rep. 6 27261 https://www.nature.com/articles/srep272612016 [78] Miller D L, Kubista K D, Rutter G M, Ruan M, de Heer W A, First P N and Stroscio J A Science 324 924 https://science.sciencemag.org/content/324/5929/9242009 [79] Song Y J, Otte A F, Kuk Y, Hu Y K, Torrance D B, First P N, de Heer W A, Min H, Adam S, Stiles M D, MacDonald A H and Stroscio J A Nature 467 185 https://www.nature.com/articles/nature093302010 [80] Yin L J, Qiao J B, Wang W X, Zuo W J, Yan W, Xu R, Dou R F, Nie J C and He L Phys. Rev. B 92 201408(R) https://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.2014082015 [81] Morell E S, Correa J D, Vargas P, Pacheco M and Barticevic Z Phys. Rev. B 82 121407(R) https://journals.aps.org/prb/abstract/10.1103/PhysRevB.82.1214072010 [82] Moon P and Koshino M Phys. Rev. B 85 195458 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.85.1954582012 [83] Fang S and Kaxiras E Phys. Rev. B 93 235153 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.2351532016 [84] Yin L J, Qiao J B, Zuo W J, Li W T and He L Phys. Rev. B 92 081406(R) https://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.0814062015 [85] Ribeiro-Palau R, Zhang C J, Watanabe K, Taniguchi T, Hone J and Dean C R Science 361 690 https://science.sciencemag.org/content/361/6403/6902018 [86] Kim K, Yankowitz M, Fallahazad B, Kang S, Movva H C P, Huang S Q, Larentis S, Corbet C M, Taniguchi T, Watanabe K, Banerjee S K, LeRoy B J and Tutuc E Nano Lett. 16 1989 https://pubs.acs.org/doi/10.1021/acs.nanolett.5b052632016 [87] Lee P A, Nagaosa N and Wen X G Rev. Mod. Phys. 78 17 https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.78.172006 [88] Polshyn H, Yankowitz M, Chen S W, Zhang Y X, Watanabe K, Taniguchi T, Dean C R and Young A F Nat. Phys. 151011 https://www.nature.com/articles/s41567-019-0596-32019 [89] Cao Y, Chowdhury D, Rodan-Legrain D, Rubies-Bigorda O, Watanabe K, Taniguchi T, Senthil T and Jarillo-Herrero P Phys. Rev. Lett. 124 076801 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.0768012020 [90] Stepanov P, Das I, Lu X B, Fahimniya A, Watanabe K, Taniguchi T, Koppens F, Lischner J, Levitov L and Efetov D K Nature 583 375 https://www.nature.com/articles/s41586-020-2459-62020 [91] Saito Y, Ge J Y, Watanabe K, Taniguchi T and Young A F Nat. Phys. 16 926 DOI: 10.1038/s41567-020-0928-32020 [92] Codecido E, Wang Q Y, Koester R, Che S, Tian H D, Lv R, Tran S, Watanabe K, Taniguchi T, Zhang F, Bockrath M and Lau C N Sci. Adv. 5 eaaw9770 https://advances.sciencemag.org/content/5/9/eaaw97702019 [93] Yankowitz M, Chen S W, Polshyn H, Zhang Y X, Watanabe K, Taniguchi T, Graf D, Young A F and Dean C R Science 3631059 https://science.sciencemag.org/content/363/6431/10592019 [94] Carr S, Fang S, Jarillo-Herrero P and Kaxiras E Phys. Rev. B 98 085144 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.0851442018 [95] Chittari B L, Leconte N, Javvaji S and Jung J Electron. Struct. 1 015001 https://iopscience.iop.org/article/10.1088/2516-1075/aaead32019 [96] Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, Kastner M A and Goldhaber-Gordon D Science 365 605 https://science.sciencemag.org/content/365/6453/6052019 [97] Lu X B, Stepanov P, Yang W, Xie M, Aamir M A, Das I, Urgell C, Watanabe K, Taniguchi T, Zhang G Y, Bachtold A, MacDonald A H and Efetov D K Nature 574 653 https://www.nature.com/articles/s41586-019-1695-02019 [98] Serlin X, Tschirhart C L, Polshyn H, Zhang Y, Zhu J, Watanabe K, Taniguchi T, Balents L and Young A F Science 367 900 https://science.sciencemag.org/content/367/6480/9002020 [99] Chen G R, Jiang L L, Wu S, Lyu B S, Li H Y, Chittari B L, Watanabe K, Taniguchi T, Shi Z W, Jung J, Zhang Y B and Wang F Nat. Phys. 15 237 https://www.nature.com/articles/s41567-018-0387-22019 [100] Chen G R, Sharpe A L, Gallagher P, Rosen I T, Fox E J, Jiang L L, Lyu B S, Li H Y, Watanabe K, Taniguchi T, Jung J, Shi Z W, Goldhaber-Gordon D, Zhang Y B and Wang F Nature 572 215 https://www.nature.com/articles/s41586-019-1393-y2019 [101] Chen G R, Sharpe A L, Fox E J, Zhang Y H, Wang S X, Jiang L L, Lyu B S, Li H Y, Watanabe K, Taniguchi T, Shi Z W, Senthil T, Goldhaber-Gordon D, Zhang Y B and Wang F Nature 579 56 https://www.nature.com/articles/s41586-020-2049-72020 [102] Mao J H, Milovanović S P, Andelković M, Lai X Y, Cao Y, Watanabe K, Taniguchi T, Covaci L, Peeters F M, Geim A K, Jiang Y H and Andrei E Y Nature 584 215 https://www.nature.com/articles/s41586-020-2567-32020 [103] Lee J Y, Khalaf E, Liu S, Liu X M, Hao Z Y, Kim P and Vishwanath A Nat. Commun. 105333 https://www.nature.com/articles/s41467-019-12981-12019 [104] Burg G W, Zhu J H, Taniguchi T, Watanabe K, MacDonald A H and Tutuc E Phys. Rev. Lett. 123 197702 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.1977022019 [105] Cao Y, Rodan-Legrain D, Rubies-Bigorda O, Park J M, Watanabe K, Taniguchi T and Jarillo-Herrero P Nature 583 215 https://www.nature.com/articles/s41586-020-2260-62020 [106] Shen C, Chu Y B, Wu Q S, Li N, Wang S P, Zhao Y C, Tang J, Liu J Y, Tian J P, Watanabe K, Taniguchi T, Yang R, Meng Z Y, Shi D X, Yazyev O V and Zhang G Y Nat. Phys. 16 520 https://www.nature.com/articles/s41567-020-0825-92020 [107] He M H, Li Y H, Cai J Q, Liu Y, Watanabe K, Taniguchi T, Xu X D and Yankowitz M Nat. Phys. https://www.nature.com/articles/s41567-020-1030-62020 [108] Liu X M, Hao Z Y, Khalaf E, Lee J Y, Ronen Y, Yoo H, Najafabadi D H, Watanabe K, Taniguchi T, Vishwanath A and Kim P Nature 583 221 https://www.nature.com/articles/s41586-020-2458-72020 [109] Scheurer M S and Samajdar R Phys. Rev. Research 2 033062 https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.0330622020 [110] Samajdar R and Scheurer M S Phys. Rev. B 102 064501 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.0645012020 [111] Wolf T M R, Lado J L, Blatter G and Zilberberg O Phys. Rev. Lett. 123 096802 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.0968022019 [112] Chebrolu N R, Chittari B L and Jung J Phys. Rev. B 99 235417 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.2354172019 [113] Koshino M Phys. Rev. B 99 235406 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.2354062019 [114] Xie Y L, Lian B, Jäck B, Liu X M, Chiu C L, Watanabe K, Taniguchi T, Bernevig B A and Yazdani A Nature 572 101 https://www.nature.com/articles/s41586-019-1422-x2019 [115] Kerelsky A, McGilly L J, Kennes D M, Xian L, Yankowitz M, Chen S W, Watanabe K, Taniguchi T, Hone J, Dean C, Rubio A and Pasupathy A N Nature 572 95 https://www.nature.com/articles/s41586-019-1431-92019 [116] Choi Y J, Kemmer J, Peng Y, Thomson A, Arora H, Polski R, Zhang Y R, Ren H C, Alicea J, Refael G, von Oppen F, Watanabe K, Taniguchi T and Nadj-Perge S Nat. Phys. 151174 https://www.nature.com/articles/s41567-019-0606-52019 [117] Jiang Y H, Lai X Y, Watanabe K, Taniguchi T, Haule K, Mao J H and Andrei E Y Nature 573 91 https://www.nature.com/articles/s41586-019-1460-42019 [118] Wong D, Nuckolls K P, Oh M, Lian B, Xie Y L, Jeon S, Watanabe K, Taniguchi T, Bernevig B A and Yazdani A Nature 582 198 https://www.nature.com/articles/s41586-020-2339-02020 [119] Zondiner U, Rozen A, Rodan-Legrain D, Cao Y, Queiroz R, Taniguchi T, Watanabe K, Oreg Y, Oppen F, Stern A, Berg E, Jarillo-Herrero P and Ilani S Nature 582 203 https://www.nature.com/articles/s41586-020-2373-y2020 [120] Iqbal Bakti Utama M, Koch R J, Lee K, Leconte N, Li H Y, Zhao S H, Jiang L L, Zhu J Y, Watanabe K, Taniguchi T, Ashby P D, Weber-Bargioni A, Zettl A, Jozwiak C, Jung J, Rotenberg E, Bostwick A and Wang F Nat. Phys. https://nature.com/articles/s41567-020-0974-x2020 [121] Lisi S, Lu X B, Benschop T, de Jong T A, Stepanov P, Duran J R, Margot F, Cucchi I, Cappelli E, Hunter A, Tamai A, Kandyba V, Giampietri A, Barinov A, Jobst J, Stalman V, Leeuwenhoek M, Watanabe K, Taniguchi T, Rademaker L, van der Molen S J, Allan M, Efetov D K and Baumberger F Nat. Phys. https://www.nature.com/articles/s41567-020-01041-x2020 [122] Mele E J Phys. Rev. B 81 161405(R) https://journals.aps.org/prb/abstract/10.1103/PhysRevB.81.1614052010 [123] Kim Y W, Yun H, Nam S G, Son M, Lee D S, Kim D C, Seo S, Choi H C, Lee H J, Lee S W and Kim J S Phys. Rev. Lett. 110 096602 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.0966022013 [124] Koren E and Duerig U Phys. Rev. B 93 201404(R) https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.2014042016 [125] GähJer F and Rhyner J J. Phys. A: Math. Gen. 19 267 https://iopscience.iop.org/article/10.1088/0305-4470/19/2/0201986 [126] Niizeki K J. Phys. A: Math. Gen. 21 2167 https://iopscience.iop.org/article/10.1088/0305-4470/21/9/0291988 [127] Kraus Y E, Ringel Z and Zilberberg O Phys. Rev. Lett. 111 226401 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.2264012013 [128] Moon P, Koshino M and Son Y W Phys. Rev. B 99 165430 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.1654302019 [129] Park M J, Kim H S and Lee S B Phys. Rev. B 99 245401 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.2454012019 [130] Yan C, Ma D L, Qiao J B, Zhong H Y, Yang L, Li S Y, Fu Z Q, Zhang Y and He L 2D Mater. 6 045041 https://iopscience.iop.org/article/10.1088/2053-1583/ab3b162019 [131] Deng B, Wang B B, Li N, Li R T, Wang Y N, Tang J L, Fu Q, Tian Z, Gao P, Xue J M and Peng H L ACS Nano 14 1656 https://pubs.acs.org/doi/10.1021/acsnano.9b070912020 [132] Yu G D, Wu Z W, Zhan Z, Katsnelson M I and Yuan S J Npj Comput. Mater. 5 122 https://www.nature.com/articles/s41524-019-0258-02019 [133] Pezzini S, Miseikis V, Piccinini G, Forti S, Pace S, Engelke R, Rossella F, Watanabe K, Taniguchi T, Kim P and Coletti C Nano Lett. 20 3313 https://pubs.acs.org/doi/10.1021/acs.nanolett.0c001722020 [134] Suzuki T, Iimori T, Ahn S J, Zhao Y H, Watanabe M, Xu J D, Fujisawa M, Kanai T, Ishii N, Itatani J, Suwa K, Fukidome H, Tanaka S, Ahn J R, Okazaki K, Shin S, Komori F and Matsuda I ACS Nano 13 11981 https://pubs.acs.org/doi/10.1021/acsnano.9b060912019 [135] Carr S, Massatt D, Fang S, Cazeaux P, Luskin M and Kaxiras E Phys. Rev. B 95 075420 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.0754202017 [136] Tritsaris G A, Carr S, Zhu Z Y, Xie Y Q, Torrisi S B, Tang J, Mattheakis M, Larson D T and Kaxiras E 2D Mater. 7 035028 https://iopscience.iop.org/article/10.1088/2053-1583/ab8f622020 [137] Xian L D, Wang Z F and Chou M Y Nano Lett. 13 5159 https://pubs.acs.org/doi/abs/10.1021/nl40244032013 [138] Kindermann M Phys. Rev. Lett. 114 226802 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.2268022015 [139] Arora H S, Polski R, Zhang Y R, Thomson A, Choi Y J, Kim H J, Lin Z, Wilson I Z, Xu X D, Chu J H, Watanabe K, Taniguchi T, Alicea J and Nadj-Perge S Nature 583 379 https://www.nature.com/articles/s41586-020-2473-82020 [141] Naik M H and Jain M Phys. Rev. Lett. 121 266401 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.2664012018 [142] Wu F C, Lovorn T, Tutuc E and MacDonald A H Phys. Rev. Lett. 121 026402 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.0264022018 [143] Wu F C, Lovorn T, Tutuc E, Martin I and MacDonald A H Phys. Rev. Lett. 122 086402 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.0864022019 [144] Xian L, Kennes D M, Tancogne-Dejean N, Altarelli M and Rubio A Nano Lett. 19 4934 https://pubs.acs.org/doi/10.1021/acs.nanolett.9b009862019 [145] Brooks J, Weng G R, Taylor S and Vlcek V J. Phys.: Condens. Matter 32 234001 https://iopscience.iop.org/article/10.1088/1361-648X/ab6d8c2020 [146] Kennes D M, Xian L, Claassen M and Rubio A Nat. Commun. 111124 https://www.nature.com/articles/s41467-020-14947-02020 [147] Zhang Z M, Wang Y M, Watanabe K, Taniguchi T, Ueno K, Tutuc E and LeRoy B J Nat. Phys. 161093 https://www.nature.com/articles/s41567-020-0958-x2020 [148] Wang L, Shih E M, Ghiotto A, Xian L D, Rhodes D A, Tan C, Claassen M, Kennes D M, Bai Y S, Kim B, Watanabe K, Taniguchi T, Zhu X Y, Hone J, Rubio A, Pasupathy A N and Dean C R Nat. Mater. 19 861 https://www.nature.com/articles/s41563-020-0708-62020 [149] Jin C H, Regan E C, Yan A M, Iqbal Bakti Utama M, Wang D Q, Zhao S H, Qin Y, Yang S J, Zheng Z R, Shi S Y, Watanabe K, Taniguchi T, Tongay S, Zettl A and Wang F Natute 567 76 https://www.nature.com/articles/s41586-019-0976-y2019 [150] Tran K, Moody G, Wu F C, Lu X B, Choi J, Kim K, Rai A, Sanchez D A, Quan J M, Singh A, Embley J, Zepeda A, Campbell M, Autry T, Taniguchi T, Watanabe K, Lu N S, Banerjee S K, Silverman K L, Kim S, Tutuc E, Yang L, MacDonald A H and Li X Q Natute 567 71 https://www.nature.com/articles/s41586-019-0975-z2019 [151] Seyler K L, Rivera P, Yu H Y, Wilson N P, Ray E L, Mandrus D G, Yan J Q, Yao W and Xu X D Natute 567 66 https://www.nature.com/articles/s41586-019-0957-12019 [152] Alexeev E M, Ruiz-Tijerina D A, Danovich M, Hamer M J, Terry D J, Nayak P K, Ahn S, Pak S, Lee J, Sohn J I, Molas M R, Koperski M, Watanabe K, Taniguchi T, Novoselov K S, Gorbachev R V, Shin H S, Fal'ko V I and Tartakovskii A I Natute 567 81 https://www.nature.com/articles/s41586-019-0986-92019 [153] Shimazaki Y, Schwartz I, Watanabe K, Taniguchi T, Kroner M and Imamo\uglu A Natute 580 472 https://www.nature.com/articles/s41586-020-2191-22020 [154] Brotons-Gisbert M, Baek H, Molina-Sánchez A, Campbell A, Scerri E, White D, Watanabe K, Taniguchi T, Bonato C and Gerardot B D Nat. Mater. 19 630 https://www.nature.com/articles/s41563-020-0687-72020 [155] Sung J, Zhou Y, Scuri G, Zólyomi V, Andersen T I, Yoo H, Wild D S, Joe A Y, Gelly R J, Heo H, Magorrian S J, Bèrubè D, Mier Valdivia A M, Taniguchi T, Watanabe K, Lukin M D, Kim P, Fal'ko V I and Park H Nat. Nanotechnol. 15 750 https://www.nature.com/articles/s41565-020-0728-z2020 [156] Bai Y S, Zhou L, Wang J, Wu W J, McGilly L J, Halbertal D, Lo C F B, Liu F, Ardelean J, Rivera P, Finney N R, Yang X C, Basov D N, Yao W, Xu X D, Hone J, Pasupathy A N and Zhu X Y Nat. Mater. 191068 https://www.nature.com/articles/s41563-020-0730-82020 |
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