Abstract Within the framework of continuum model, we study the projective representation of emergent D6 point group in twisted bilayer graphene. We then construct tight-binding models of the lowest bands without and with external electromagnetic fields, based on the projective representation.
Fund: Project supported by DOE Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award DE-SC0010526.
Corresponding Authors:
Noah F. Q. Yuan
E-mail: nfqyuan@mit.edu,fyuanaa@connect.ust.hk
Cite this article:
Noah F. Q. Yuan Projective representation of D6 group in twisted bilayer graphene 2021 Chin. Phys. B 30 070311
[1] Cao Y, Fatemi V, Fang S, et al. 2018 Nature 556 43 [2] Cao Y, Fatemi V, Demir A, et al. 2018 Nature 556 80 [3] Yankowitz M, Chen S, Polshyn H, et al. 2019 Science 363 1059 [4] Xu C and Balents L 2018 Phys. Rev. Lett. 121 087001 [5] Po H C, Zou L, Vishwanath A and Senthil T 2018 Phys. Rev. X 8 031089 [6] Yuan N F Q and Fu L 2018 Phys. Rev. B 98 045103 [7] Koshino M, Yuan N F Q, Koretsune T, Ochi M, Kuroki K and Fu L 2018 Phys. Rev. X 8 031087 [8] Kang J and Vafek O 2018 Phys. Rev. X 8 031088 [9] Isobe H, Yuan N F Q and Fu L 2018 Phys. Rev. X 8 041041 [10] Zou L, Po H C, Vishwanath A and Senthil T 2018 Phys. Rev. B 98 085435 [11] Roy B and Juricic V 2019 Phys. Rev. B 99 121407 [12] Guo H, Zhu X, Feng S and Scalettar R T 2018 Phys. Rev. B 97 235453 [13] Padhi B, Setty C and Phillips P W 2018 Nano Lett. 18 6175 [14] Dodaro J F, Kivelson S A, Schattner Y, Sun X Q and Wang C 2018 Phys. Rev. B 98 075154 [15] Huang T, Zhang L and Ma T 2019 Science Bulletin 64 310 [16] Zhang L 2019 Science Bulletin 64 495 [17] Ray S and Das T 2019 Phys. Rev. B 99 134515 [18] Liu C C, Zhang L D, Chen W Q and Yang F 2018 Phys. Rev. Lett. 121 217001 [19] Xu X Y, Law K T and Lee Patrick A 2018 Phys. Rev. B 98 121406 [20] Peltonen T J, Ojajärvi R and Heikkilä T T 2018 Phys. Rev. B 98 220504 [21] Fidrysiak M, Zegrodnik M and Spałek J 2018 Phys. Rev. B 98 085436 [22] Po H C, Zou L, Senthil T and Vishwanath A 2019 Phys. Rev. B 99 195455 [23] Hejazi K, Liu C, Shapourian H, Chen X and Balents L 2019 Phys. Rev. B 99 035111 [24] Song Z, Wang Z, Shi W, Li G, Fang C and Bernevig B A 2019 Phys. Rev. Lett. 123 036401 [25] Ahn J, Park S and Yang B J 2019 Phys. Rev. X 9 021013 [26] Berger C, Song Z, Li X, et al. 2006 Science 312 1191 [27] Hass J, Feng R, Millan-Otoya J, Li X, Sprinkle M, First P, de Heer W, Conrad E and Berger C 2007 Phys. Rev. B 75 214109 [28] Hass J, Varchon F, Millan-Otoya J, Sprinkle M, Sharma N, de Heer W, Berger C, First P, Magaud L and Conrad E 2008 Phys. Rev. Lett. 100 125504 [29] Li G, Luican A, Lopes dos Santos J M B, Neto A, Reina A, Kong J and Andrei E 2009 Nat. Phys. 6 109 [30] Miller D, Kubista K, Rutter G, Ruan M, de Heer W, First P and Stroscio J 2010 Phys. Rev. B 81 125427 [31] Luican A, Li G, Reina A, et al. 2011 Phys. Rev. Lett. 106 126802 [32] Mele E 2010 Phys. Rev. B 81 161405 [33] Trambly de Laissardière G, Mayou D and Magaud L 2010 Nano Lett. 10 804 [34] Shallcross S, Sharma S, Kandelaki E and Pankratov O 2010 Phys. Rev. B 81 165105 [35] Morell E, Correa J, Vargas P, Pacheco M and Barticevic Z 2010 Phys. Rev. B 82 121407 [36] Kindermann M and First P 2010 Phys. Rev. B 83 045425 [37] Xian L, Barraza-Lopez S and Chou M 2011 Phys. Rev. B 84 075425 [38] Moon P and Koshino M 2012 Phys. Rev. B 85 195458 [39] de Laissardiere G T, Mayou D and Magaud L 2012 Phys. Rev. B 86 125413 [40] Moon P and Koshino M 2013 Phys. Rev. B 87 205404 [41] Nam N N T and Koshino M 2017 Phys. Rev. B 96 075311 [42] Lopes dos Santos J M B, Peres N and Castro Neto A 2007 Phys. Rev. Lett. 99 256802 [43] Bistritzer R and MacDonald A 2011 Proc. Natl. Acad. Sci. USA 108 12233 [44] Lopes dos Santos J M B, Peres N M R and Castro Neto A H 2012 Phys. Rev. B 86 155449
[1]
Spin—orbit stable dirac nodal line in monolayer B6O Wen-Rong Liu(刘文荣), Liang Zhang(张亮), Xiao-Jing Dong(董晓晶), Wei-Xiao Ji(纪维霄), Pei-Ji Wang(王培吉), and Chang-Wen Zhang(张昌文). Chin. Phys. B, 2022, 31(3): 037305.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
