• Acta Physica Sinica
  • Vol. 68, Issue 22, 220303-1 (2019)
Xin-Yu Lü and Zhi-Qiang Li*
DOI: 10.7498/aps.68.20191317 Cite this Article
Xin-Yu Lü, Zhi-Qiang Li. Topological properties of graphene moiré superlattice systems and recent optical studies[J]. Acta Physica Sinica, 2019, 68(22): 220303-1 Copy Citation Text show less
References

[1] Hasan M Z, Kane C L[J]. Rev. Mod. Phys., 82, 3045(2010).

[2] Qi X L, Zhang S C[J]. Rev. Mod. Phys., 83, 1057(2011).

[3] Thouless D J, Kohmoto M, Nightingale M P, den Nijs M[J]. Phys. Rev. Lett., 49, 405(1982).

[4] Wang Z J, Sun Y, Chen X Q, Franchini C, Xu G, Weng H M, Dai X, Fang Z[J]. Phys. Rev. B, 85, 195320(2012).

[5] Wang Z J, Weng H M, Wu Q S, Dai X, Fang Z[J]. Phys. Rev. B, 88, 125427(2013).

[6] Weng H M, Fang C, Fang Z, Bernrviget B A, Dai X[J]. Phys. Rev. X, 5, 011029(2015).

[7] Zhang Y H, Mao D, Cao Y, Jarillo-Herrero P, Senthil T[J]. Phys. Rev. B, 99, 075127(2019).

[8] Zhang Y H, Mao D, Senthil T[J]. arXiv preprint arXiv:1901 08209(2019).

[9] Bultinck N, Chatterjee S, Zaletel M P[J]. arXiv preprint arXiv: 1901 08110(2019).

[10] 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, P Jarillo-Herrero, Ashoori R C[J]. Nature, 556, 80(2018).

[11] Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E, Jarillo-Herrero P[J]. Nature, 556, 43(2018).

[12] Zhang Y H, Senthil T[J]. Phys. Rev. B, 99, 205150(2019).

[13] Chen G, Jiang L, Wu S, Lyu B, Li H, Chittari B L, Kenji W, Takashi T, Shi Z, Jeil J, Zhang Y, Wang F[J]. Nat. Phys., 15, 237(2019).

[14] Chen G, Sharpe A L, Fox E J, Zhang Y H, Wang S, Jiang L, Lyu B, Watanabe K, Takashi T, Senthil T, David G G, Shi Z, Wang F[J]. arXiv preprint arXiv: 1905 06535(2019).

[15] Chittari B L, Chen G, Zhang Y, Wang F, Jung J[J]. Phys. Rev. Lett., 122, 016401(2019).

[16] Liu X, Hao Z, Khalaf E, Lee J Y, Watanabe K, Taniguchi T, Vishwanath A, Kim P[J]. arXiv preprint arXiv: 1903 08130(2019).

[17] Cao Y, Rodan-Legrain D, Rubies-Bigordà O, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P[J]. arXiv preprint arXiv: 1903.08596(2019).

[18] Shen C, Li N, Wang S, Zhao Y, Tang J, Liu J, Tian J, Chu Y, Watanabe K, Taniguchi T, Yang R, Meng Z Y, Shi D, Zhang G[J]. arXiv preprint arXiv: 1903 06952(2019).

[19] Koshino M[J]. Phys. Rev. B, 99, 235406(2019).

[20] Chen Z G, Shi Z, Yang W, Lu X, Lai Y, Yan H, Yan H, Zhang G, Li Z[J]. Nat. Commun., 5, 4461(2014).

[21] Wu S, Wang L, Lai Y, Shan W Y, Aivazian G, Zhang X, Taniguchi T, Watanabe K J, Xiao D, Dean C, Hone J, Li Z, Xu X[J]. Sci. Adv., 2, e1600002(2016).

[22] Jiang L, Shi Z, Zeng B, Wang S, Kang J H, Joshi T, Jin C, Ju L, Kim J, Lyu T, Shen Y, Crommie M, Gao H, Wang F[J]. Nat. Mater., 15, 840(2016).

[23] Yao W, Wang E, Bao C, Zhang Y, Zhang K, Bao K, Zhu J, Chan C K, Chen C, Avilad J, Asensiod M C, Zhou S[J]. Proc. Natl. Acad. Sci., 115, 6928(2018).

[24] Shi H, Zhan Z, Qi Z, Huang K, van Veen E, Silva-Guillén J A, Katsnelson M I, Zhang R, Li P, Xie K, Ji H, Katsnelson , Yuan S, Qin S, Zhang Z[J]. arXiv preprint arXiv: 1905 04515(2019).

[25] Yan C, Ma D L, Qiao J B, Zhong H Y, Yang L, Li S Y, He L[J]. 2D Materials, 6, 045041(2019).

[26] Zhang H, Liu C X, Qi X L, Dai X, Fang Z, Zhang S C[J]. Nat. Phys., 5, 438(2009).

[27] Ma Z, Li S, Zheng Y W, Xiao M M, Jiang H, Gao J H, Xie X C[J]. arXiv preprint arXiv: 1905 00622(2019).

[28] Xu X, Yao W, Xiao D, Heinz T F[J]. Nat. Phys., 10, 343(2014).

[29] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Firsov A A[J]. Science, 306, 666(2004).

[30] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V, Firsov A A[J]. Nature, 438, 197(2005).

[31] Schedin F, Geim A K, Morozov S V, Hill E W, Blake P, Katsnelson M I, Novoselov K S[J]. Nat. Mater., 6, 652(2007).

[32] Zhang Y, Tan Y W, Stormer H L, Kim P[J]. Nature, 438, 201(2005).

[33] Novoselov K S, Jiang Z, Zhang Y, Morozov S V, Stormer H L, Zeitler U, Maan J C, Boebinger G S, Kim P, Geim A K[J]. Science, 315, 1379(2007).

[34] Kane C L, Mele E J[J]. Phys. Rev. Lett., 95, 226801(2005).

[35] Tse W K, Qiao Z, Yao Y, MacDonald A H, Niu Q[J]. Phys. Rev. B, 83, 155447(2011).

[36] Xiao D, Yao W, Niu Q[J]. Phys. Rev. Lett., 99, 236809(2007).

[37] Yao W, Xiao D, Niu Q[J]. Phys. Rev. B, 77, 235406(2008).

[38] Jung J, DaSilva A M, MacDonald A H, Adam S[J]. Nat. Commun., 6, 6308(2015).

[39] Song J C, Samutpraphoot P, Levitov L S[J]. Proc. Natl. Acad. Sci., 112, 10879(2015).

[40] Abergel D S, Wallbank J R, Chen X, Mucha-Kruczyński M, Fal'ko V I[J]. New J. Phys., 15, 123009(2013).

[41] Basov D N, Fogler M M, Lanzara A, Wang F, Zhang Y[J]. Rev. Mod. Phys., 86, 959(2014).

[42] Shi Z, Jin C, Yang W, Ju L, Horng J, Lu X, Bechtel H A, Martin M C, Fu D, Wu J, Watanabe K, Taniguchi T, Zhang Y, Bai X, Wang E, Zhang G, Wang F[J]. Nat. Phys., 10, 743(2014).

[43] Yankowitz M, Xue J, LeRoy B J[J]. J. Phys. Condens. Matter, 26, 303201(2014).

[44] Gorbachev R V, Song J C W, Yu G L, Kretinin A V, Withers F, Cao Y, Mishchenko A, Grigorieva I V, Novoselov K S, Levitov L S, Geim A K[J]. Science, 346, 448(2014).

[45] San-Jose P, Gutiérrez-Rubio A, Sturla M, Guinea F[J]. Phys. Rev. B, 90, 115152(2014).

[46] Hunt B, Sanchez-Yamagishi J D, Young A F, Yankowitz M, Taniguchi T, Moon P, Jarillo-Herrero P, Watanabe K, Ashoori R C[J]. Science, 340, 1427(2013).

[47] Ponomarenko L A, Gorbachev R V, Yu G L, Elias D C, Jalil R, Patel A A, Mucha-Kruczynski M, Mishchenko A, Mayorov A S, Woods C R, Wallbank J R, Piot B A, Potemski M, Grigorieva I V, Novoselov K S, Guinea F, Fal’ko V I, Geim A K[J]. Nature, 497, 594(2013).

[48] Dean C R, Wang L, Maher P, Forsythe C, Ghahari F, Gao Y, Taniguchi T, Katoch J, Ishigami M, Moon P, Koshino M, Watanabe K, Shepard K L, Hone J, Kim P[J]. Nature, 497, 598(2013).

[49] Yu G L, Gorbachev R V, Tu J S, Kretinin A V, Cao Y, Jalil R, Withers f, Ponomarenko L A, Piot B A, Potemski M, Chen X, Watanabe K, Taniguchi T, Grigorieva1 I V, Novoselov K S, Fal’ko V I, Geim A K, [J]. Nat. Phys., 10, 525(2014).

[50] Woods C R, Britnell L, Eckmann A, Ma R S, Lu J C, Guo H M, Lin X, Yu G L, Cao Y, Gorbachev R V, Park J, Ponomarenko L A, Katsnelson M L, Gornostyrev Y N, Watanabe K, Taniguchi T, Casiraghi C, H J Gao, Geim A K, Novoselov A K, Kretinin A V[J]. Nat. Phys., 10, 451(2014).

[51] Zhang F, MacDonald A H, Mele E J[J]. Proc. Nat. Acad. Sci. USA, 110, 10546(2013).

[52] Li J, Morpurgo A F, Büttiker M, Martin I[J]. Phys. Rev. B, 82, 245404(2010).

[53] Li J, Martin I, Büttiker M, Morpurgo A F[J]. Nat. Phys., 7, 38(2011).

[54] Qiao Z, Jung J, Niu Q, MacDonald A H[J]. Nano Lett., 11, 3453(2011).

[55] Jung J, Zhang F, Qiao Z, MacDonald A H[J]. Phys. Rev. B, 84, 075418(2011).

[56] Zarenia M, Pereira Jr J M, Farias G A, Peeters F M[J]. Phys. Rev. B, 84, 125451(2011).

[57] Kane C L, Mele E J[J]. Phys. Rev. Lett., 95, 146802(2005).

[58] Bernevig B A, Hughes T L, Zhang S C[J]. Science, 314, 1757(2006).

[59] Song Y, Dery H[J]. Phys. Rev. Lett., 111, 026601(2013).

[60] Liu G B, Shan W Y, Yao Y, Yao W, Xiao D[J]. Phys. Rev. B, 88, 085433(2013).

[61] Jiang B Y, Ni G X, Addison Z, Shi J K, Liu X, Zhao F, Kim P, Mele E J, D N Basov, Fogler M M[J]. Nano Lett., 17, 7080(2017).

[62] Li J, Wang K, McFaul K J, Zern Z, Ren Y, Watanabe K, Taniguchi T, Qiao Z, Zhu J[J]. Nat. Nanotechnol., 11, 1060(2016).

[63] Martin I, Blanter Y M, Morpurgo A F[J]. Phys. Rev. Lett., 100, 036804(2008).

[64] Ju L, Shi Z, Nair N, Lv Y, Jin C, Velasco Jr J, Analytis J, Ojeda-Aristizabal C, Bechtel H A, Martin M C, Zettl A, Analytis J, Wang F[J]. Nature, 520, 650(2015).

[65] S S Sunku1, G X Ni, B Y Jiang, H Yoo, A Sternbach, A S McLeod, T Stauber, L Xiong, T Taniguchi, K Watanabe, P Kim, M M Fogler, D N Basov[J]. Science, 362, 1153(2018).

[66] Mott N F[J]. Proc. Phys. Soc. London Ser. A, 62, 416(1949).

[67] Imada M, Fujimori A, Tokura Y[J]. Rev. Mod. Phys., 70, 1039(1998).

[68] Hubbard J[J]. Phys. R. Soc. A, 281, 401(1964).

[69] Lee P A, Nagaosa N, Wen X G[J]. Rev. Mod. Phys., 78, 17(2006).

[70] Bistritzer R, MacDonald A H[J]. Proc. Natl. Acad. Sci. USA, 108, 12233(2011).

[71] Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, M A Kastner, Goldhaber-Gordon D[J]. arXiv preprint arXiv: 1901 03520(2019).

[72] Koshino M, McCann E[J]. Phys. Rev. B, 80, 165409(2009).

[73] Zhang F, Sahu B, Min H, MacDonald A H[J]. Phys. Rev. B, 82, 035409(2010).

[74] Bao W, Jing L, Velasco Jr J, Lee Y, Liu G, Tran D, Standley B, Aykol M, Cronin S B, Smirnov D, Koshino M, McCann E, Bockrath M, Lau C N[J]. Nat. Phys., 7, 948(2011).

[75] Lui C H, Li Z, Mak K F, Cappelluti E, Heinz T F[J]. Nat. Phys., 7, 944(2011).

[76] Zhang L, Zhang Y, Camacho J, Khodas M, Zaliznyak I[J]. Nat. Phys., 7, 953(2011).

[77] Yankowitz M, Xue J, Cormode D, Sanchez-Yamagishi J D, Watanabe K, Taniguchi T, Jarillo-Herrero P, Jacquod P, LeRoy B J[J]. Nat. Phys., 8, 382(2012).

[78] Wallbank J R, Patel A A, Mucha-Kruczyński M, Geim A K, Fal'ko V I[J]. Phys. Rev. B, 87, 245408(2013).

[79] Jung J, Raoux A, Qiao Z, MacDonald A H[J]. Phys. Rev. B, 89, 205414(2014).

[80] Ni G X, Wang H, Wu J S, Fei Z, Goldflam M D, Keilmann F, Özyilmaz B, Castro Neto A H, Xie X M, Fogler M M, Basov D N[J]. Nat. Mater., 14, 1217(2015).

[81] Basov D N, Fogler M M, De Abajo F G[J]. Science, 354, 6309(2016).

[82] Duan J H, Chen J N[J]. Acta Phys. Sin., 68, 110701(2019).

[83] Qazilbash M M, Brehm M, Chae B G, Ho P C, Andreev G O, Kim B J, Yun S J, Balatsky A V, Maple M B, Keilmann F, Kim H T[J]. Science, 318, 1750(2007).

[84] Fei Z, Rodin A S, Andreev G O, Bao W, McLeod A S, Wagner M, Zhang L M, Zhao Z, Thiemens M, Dominguez G, Fogler M M, Castro-Neto A H, Lau C N, Keilmann F, Basov D N[J]. Nature, 487, 82(2012).

[85] Chen J, Badioli M, Alonso-González P, Thongrattanasiri S, Huth F, Osmond J, Spasenović M, Centeno A, Pesquera A, Godignon P, Zurutuza A, Camara N, Abajo J G, Hillenbrand R, Koppens F[J]. Nature, 487, 77(2012).

[86] Woessner A, Lundeberg M B, Gao Y, Principi A, Alonso-González P, Carrega M, Watanabe K, Taniguchi T, Vignale G, Polini M, Hone J, Hillenbrand R, Koppens F H L[J]. Nat. Mater., 14, 421(2015).

[87] Alden J S, Tsen A W, Huang P Y, Hovden R, Brown L, Park J, Muller D A, McEuen P L[J]. Proc. Natl. Acad. Sci. USA, 110, 11256(2013).

[88] Fei Z, Rodin A S, Gannett W, Dai S, Regan W, Wagner M, Liu M K, McLeod A S, Dominguez G, Thiemens M, Castro Neto A H, Keilmann F, Zettl A, Hillenbrand R, Fogler M M, Basov D N[J]. Nat. Nanotechnol., 8, 821(2013).

Xin-Yu Lü, Zhi-Qiang Li. Topological properties of graphene moiré superlattice systems and recent optical studies[J]. Acta Physica Sinica, 2019, 68(22): 220303-1
Download Citation