Please wait a minute...
Chin. Phys. B, 2020, Vol. 29(12): 127304    DOI: 10.1088/1674-1056/abc7b6
Special Issue: SPECIAL TOPIC — Twistronics
TOPICAL REVIEW—Twistronics Prev   Next  

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
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.
Keywords:  twisted bilayer graphene      van der Waals heterostructure      band structure engineering  
Received:  04 June 2020      Revised:  29 September 2020      Accepted manuscript online:  05 November 2020
PACS:  73.21.-b (Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems)  
  73.22.Pr (Electronic structure of graphene)  
  79.60.-i (Photoemission and photoelectron spectra)  
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   

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

[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
[1] A sport and a pastime: Model design and computation in quantum many-body systems
Gaopei Pan(潘高培), Weilun Jiang(姜伟伦), and Zi Yang Meng(孟子杨). Chin. Phys. B, 2022, 31(12): 127101.
[2] Recent advances in two-dimensional layered and non-layered materials hybrid heterostructures
Haixin Ma(马海鑫), Yanhui Xing(邢艳辉), Boyao Cui(崔博垚), Jun Han(韩军), Binghui Wang(王冰辉), and Zhongming Zeng(曾中明). Chin. Phys. B, 2022, 31(10): 108502.
[3] Strain drived band aligment transition of the ferromagnetic VS2/C3N van der Waals heterostructure
Jimin Shang(商继敏), Shuai Qiao(乔帅), Jingzhi Fang(房景治), Hongyu Wen(文宏玉), and Zhongming Wei(魏钟鸣). Chin. Phys. B, 2021, 30(9): 097507.
[4] Projective representation of D6 group in twisted bilayer graphene
Noah F. Q. Yuan. Chin. Phys. B, 2021, 30(7): 070311.
[5] Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices
J A Crosse and Pilkyung Moon. Chin. Phys. B, 2021, 30(7): 077803.
[6] Observation of magnetoresistance in CrI3/graphene van der Waals heterostructures
Yu-Ting Niu(牛宇婷), Xiao Lu(鲁晓), Zhong-Tai Shi(石钟太), and Bo Peng(彭波). Chin. Phys. B, 2021, 30(11): 117506.
[7] Correlated insulating phases in the twisted bilayer graphene
Yuan-Da Liao(廖元达), Xiao-Yan Xu(许霄琰), Zi-Yang Meng(孟子杨), and Jian Kang(康健). Chin. Phys. B, 2021, 30(1): 017305.
[8] Electrostatic gating of solid-ion-conductor on InSe flakes and InSe/h-BN heterostructures
Zhang Zhou(周璋), Liangmei Wu(吴良妹), Jiancui Chen(陈建翠), Jiajun Ma(马佳俊), Yuan Huang(黄元), Chengmin Shen(申承民), Lihong Bao(鲍丽宏), and Hong-Jun Gao(高鸿钧). Chin. Phys. B, 2020, 29(11): 118501.
[9] Twistronics in graphene-based van der Waals structures
Ya-Ning Ren(任雅宁), Yu Zhang(张钰), Yi-Wen Liu(刘亦文), and Lin He(何林). Chin. Phys. B, 2020, 29(11): 117303.
[10] Quantum anomalous Hall effect in twisted bilayer graphene quasicrystal
Zedong Li(李泽东) and Z F Wang(王征飞)†. Chin. Phys. B, 2020, 29(10): 107101.
[11] Possible nodeless s±-wave superconductivity in twisted bilayer graphene
Zhe Liu(刘哲), Yu Li(李宇), Yi-Feng Yang(杨义峰). Chin. Phys. B, 2019, 28(7): 077103.
[12] Visible-to-near-infrared photodetector based on graphene-MoTe2-graphene heterostructure
Rui-Xue Hu(户瑞雪), Xin-Li Ma(马新莉), Chun-Ha An(安春华), Jing Liu(刘晶). Chin. Phys. B, 2019, 28(11): 117802.
[13] Ultrafast interlayer photocarrier transfer in graphene-MoSe2 van der Waals heterostructure
Xin-Wu Zhang(张心悟), Da-Wei He(何大伟), Jia-Qi He(何佳琪), Si-Qi Zhao(赵思淇), Sheng-Cai Hao(郝生财), Yong-Sheng Wang(王永生), Li-Xin Yi(衣立新). Chin. Phys. B, 2017, 26(9): 097202.
[14] A facile and efficient dry transfer technique for two-dimensional Van der Waals heterostructure
Li Xie(谢立), Luojun Du(杜罗军), Xiaobo Lu(卢晓波), Rong Yang(杨蓉), Dongxia Shi(时东霞), Guangyu Zhang(张广宇). Chin. Phys. B, 2017, 26(8): 087306.
[15] One-dimensional ZnO nanostructure-based optoelectronics
Zheng Zhang(张铮), Zhuo Kang(康卓), Qingliang Liao(廖庆亮), Xiaomei Zhang(张晓梅), Yue Zhang(张跃). Chin. Phys. B, 2017, 26(11): 118102.
No Suggested Reading articles found!