Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices

doi:10.1088/1674-1056/ac051f

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 77803-077803.doi: 10.1088/1674-1056/ac051f

所属专题： SPECIAL TOPIC — Twistronics

Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices

J A Crosse^1,2 and Pilkyung Moon^1,2,3,†

1 Arts and Sciences, New York University Shanghai, Shanghai 200122, China;
2 NYU-ECNU Institute of Physics at NYU Shanghai, Shanghai 200062, China;
3 Department of Physics, New York University, New York 10003, USA

收稿日期:2021-02-19 修回日期:2021-05-21 接受日期:2021-05-26 出版日期:2021-06-22 发布日期:2021-06-26
通讯作者: Pilkyung Moon E-mail:pilkyung.moon@nyu.edu
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12050410228 and 12074260) and the Fund from the Science and Technology Commission of Shanghai Municipality, China (Grant No. 19ZR1436400).

Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices

J A Crosse^1,2 and Pilkyung Moon^1,2,3,†

1 Arts and Sciences, New York University Shanghai, Shanghai 200122, China;
2 NYU-ECNU Institute of Physics at NYU Shanghai, Shanghai 200062, China;
3 Department of Physics, New York University, New York 10003, USA

Received:2021-02-19 Revised:2021-05-21 Accepted:2021-05-26 Online:2021-06-22 Published:2021-06-26
Contact: Pilkyung Moon E-mail:pilkyung.moon@nyu.edu
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12050410228 and 12074260) and the Fund from the Science and Technology Commission of Shanghai Municipality, China (Grant No. 19ZR1436400).

摘要/Abstract

摘要： We study the magneto-optical conductivity of a number of van der Waals heterostructures, namely, twisted bilayer graphene, AB-AB and AB-BA stacked twisted double bilayer graphene and monolayer graphene and AB-stacked bilayer graphene on hexagonal boron nitride. As the magnetic field increases, the absorption spectrum exhibits a self-similar recursive pattern reflecting the fractal nature of the energy spectrum. Whilst twisted bilayer graphene displays only weak circular dichroism, the other four structures display strong circular dichroism with monolayer graphene and AB-stacked bilayer graphene on hexagonal boron nitride being particularly pronounced owing to strong inversion symmetry breaking properties of the hexagonal boron nitride layer. As the left and right circularly polarized light interact with these structures differently, plane-polarized incident light undergoes a Faraday rotation and gains an ellipticity when transmitted. The size of the respective angles is on the order of a degree.

关键词: 2D-materials, van der Waals heterostructures, magneto-optical conductivity, graphene

Abstract: We study the magneto-optical conductivity of a number of van der Waals heterostructures, namely, twisted bilayer graphene, AB-AB and AB-BA stacked twisted double bilayer graphene and monolayer graphene and AB-stacked bilayer graphene on hexagonal boron nitride. As the magnetic field increases, the absorption spectrum exhibits a self-similar recursive pattern reflecting the fractal nature of the energy spectrum. Whilst twisted bilayer graphene displays only weak circular dichroism, the other four structures display strong circular dichroism with monolayer graphene and AB-stacked bilayer graphene on hexagonal boron nitride being particularly pronounced owing to strong inversion symmetry breaking properties of the hexagonal boron nitride layer. As the left and right circularly polarized light interact with these structures differently, plane-polarized incident light undergoes a Faraday rotation and gains an ellipticity when transmitted. The size of the respective angles is on the order of a degree.

Key words: 2D-materials, van der Waals heterostructures, magneto-optical conductivity, graphene

中图分类号: (Multilayers; superlattices; photonic structures; metamaterials)

78.67.Pt

78.20.Ls (Magneto-optical effects) 78.67.Wj (Optical properties of graphene) 78.20.Bh (Theory, models, and numerical simulation)

J A Crosse and Pilkyung Moon. Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices[J]. 中国物理B, 2021, 30(7): 77803-077803.

J A Crosse and Pilkyung Moon. Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices[J]. Chin. Phys. B, 2021, 30(7): 77803-077803.

参考文献

[1] Geim A K and Grigorieva I V 2013 Nature 499 419
[2] Novoselov K S, Mishchenko A, Carvalho A and Castro Neto A H 2016 Science 353 aac9439
[3] Liu Y, Weiss N O, Duan X, Cheng H C, Huang Y and Duan X 2016 Nat. Rev. Mater. 1 16042
[4] Li C, Zhou P and Zhang D W 2017 J. Semicond. 38 031005
[5] Yankowitz M, Ma Q, Jarillo-Herrero P and LeRoy B J 2019 Nat. Rev. Phys. 1 112
[6] Nair R R, Blake P, Grigorenko A N, Novoselov K S, Booth T J, Stauber T, Peres N M R and Geim A K 2008 Science 320 1308
[7] Nedoliuk I O, Hu S, Geim A K and Kuzmenko A B 2019 Nat. Nanotechnol. 14 756
[8] Crassee I, Levallois J, Walter A L, Ostler M, Bostwick A, Rotenberg E, Seyller T, van der Marel D and Kuzmenko A B 2011 Nat. Phys. 7 48
[9] Liu J and Dai X 2020 Npj Comput. Mater. 6 57
[10] Hofstadter D 1976 Phys. Rev. B 14 2239
[11] Rammal R 1985 J. Physique 46 1345
[12] Zhang Z Z, Chang K and Peeters F M 2008 Phys. Rev. B 77 235411
[13] Moon P and Koshino M 2012 Phys. Rev. B 85 195458
[14] Moon P and Koshino M 2014 Phys. Rev. B 90 155406
[15] 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 2013 Science 340 1427
[16] 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, MuchaKruczynski M, Piot B A, Potemski M, Grigorieva I V, Novoselov K S, Guinea F, Fal’ko V I and Geim A K 2013 Nature 497 594
[17] 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 2013 Nature 497 598
[18] 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, Elias D C, Chen X, Watanabe K, Taniguchi T, Grigorieva I V, Novoselov K S, Fal’ko V I, Geim A K and Mishchenko A 2014 Nat. Phys. 10 525
[19] Moon P and Koshino M 2013 Phys. Rev. B 88 241412(R)
[20] Crosse J A, Nakatsuji N, Koshino M and Moon P 2020 Phys. Rev. B 102 035421
[21] Schaibley J, Yu H, Clark G, Rivera P, Ross J S, Seyler K L, Yao W and Xu X 2016 Nat. Rev. Mater. 1 16055
[22] Zhou X Y, Zhang R, Sun J P, Zou Y L, Zhang D, Lou W K, Cheng F, Zhou G H, Zhai F and Chang K 2015 Sci. Rep. 5 12295
[23] Lopes dos Santos J, Peres N and Castro Neto A 2007 Phys. Rev. Lett. 99 256802
[24] Bistritzer R and MacDonald A 2011 Proc. Natl. Acad. Sci. 108 12233
[25] Kindermann M and First P 2011 Phys. Rev. B 83 045425
[26] Lopes dos Santos J, Peres N M R and Castro Neto A H 2012 Phys. Rev. B 86 1554499
[27] Moon P and Koshino M 2013 Phys. Rev. B 87 205404
[28] Koshino M 2015 New J. Phys. 17 015014
[29] Koshino M and Moon P 2015 J. Phys. Soc. Jpn. 84 121001
[30] Koshino M, Yuan N F Q, Koretsune T, Ochi M, Kuroki K and Fu L 2018 Phys. Rev. X 8 031087
[31] Koshino M 2019 Phys. Rev. B 99 235406
[32] McCann E and Koshino M 2013 Rep. Prog. Phys. 76 056503
[33] Brown E 1969 Solid State Phys. 22 313
[34] Chang M C and Niu Q 1996 Phys. Rev. B 53 7010
[35] Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[36] Ando T 2005 J. Phys. Soc. Jpn. 74 777
[37] Shon N H and Ando T 1998 J. Phys. Soc. Jpn. 67 2421
[38] Zheng Y and Ando T 2002 Phys. Rev. B 65 245420
[39] Pfannkuche D and Gerhardts R R 1992 Phys. Rev. B 46 12606
[40] Inoue M 1962 J. Phys. Soc. Jpn. 17 808
[41] Toy W, Dresselhaus M and Dresselhaus G 1977 Phys. Rev. B 15 4077
[42] Chiu K W, Lee T K, and Quinn J J 1976 Surf. Sci. 58 182
[43] O’Connell R F and Wallace G 1982 Phys. Rev. B 26 2231
[44] Morimoto T, Hatsugai Y and Aoki H 2009 Phys. Rev. Lett. 103 116803
[45] Chebrolu N R, Chittari B L and Jung J 2019 Phys. Rev. B 99 235417
[46] Liu J, Ma Z, Gao J and Dai X 2019 Phys. Rev. X 9 031021
[47] Rickhaus P, Zheng G, Lado J L, Lee Y, Kurzmann A, Eich M, Pisoni R, Tong C, Garreis R, Gold C, Masseroni M, Taniguchi T, Wantanabe K, Ihn T and Ensslin K 2019 Nano Lett. 19 8821
[48] Burg G W, Zh Ju, Taniguchi T, Watanabe K MacDonald A H and Tutuc E 2019 Phys. Rev. Lett. 123 197702
[49] Choi Y W and Choi H J 2019 Phys. Rev. B 100 201402
[50] Lee J Y, Khalaf E, Liu S, Liu X, Hao Z, Kim P and Vishwanath A 2019 Nat. Commun. 10 5333
[51] Abergel D S L and Fal’ko V I 2007 Phys. Rev. B 75 155430

Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices

Faraday rotations, ellipticity, and circular dichroism in magneto-optical spectrum of moiré superlattices

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Wangwei Xu(许望伟), Shijie Sun(孙诗杰), Muzi Yang(杨慕紫), Zhenliang Hao(郝振亮), Lei Gao(高蕾), Jianchen Lu(卢建臣), Jiasen Zhu(朱嘉森), Jian Chen(陈建), and Jinming Cai(蔡金明). Polarization Raman spectra of graphene nanoribbons[J]. 中国物理B, 2023, 32(4): 46803-046803.
[2]	Mei-Rong Liu(刘美荣), Zheng-Fang Liu(刘正方), Ruo-Long Zhang(张若龙), Xian-Bo Xiao(肖贤波), and Qing-Ping Wu(伍清萍). Spin- and valley-polarized Goos-Hänchen-like shift in ferromagnetic mass graphene junction with circularly polarized light[J]. 中国物理B, 2023, 32(3): 37301-037301.
[3]	Xiaoqing Luo(罗小青), Juan Luo(罗娟), Fangrong Hu(胡放荣), and Guangyuan Li(李光元). Graphene metasurface-based switchable terahertz half-/quarter-wave plate with a broad bandwidth[J]. 中国物理B, 2023, 32(2): 27801-027801.
[4]	Ruirui Niu(牛锐锐), Xiangyan Han(韩香岩), Zhuangzhuang Qu(曲壮壮), Zhiyu Wang(王知雨), Zhuoxian Li(李卓贤), Qianling Liu(刘倩伶), Chunrui Han(韩春蕊), and Jianming Lu(路建明). Correlated states in alternating twisted bilayer-monolayer-monolayer graphene heterostructure[J]. 中国物理B, 2023, 32(1): 17202-017202.
[5]	Mengjiao Wu(吴梦娇), Huishu Ma(马慧姝), Haiping Fang(方海平), Li Yang(阳丽), and Xiaoling Lei(雷晓玲). Adsorption dynamics of double-stranded DNA on a graphene oxide surface with both large unoxidized and oxidized regions[J]. 中国物理B, 2023, 32(1): 18701-018701.
[6]	Jiahao Yuan(袁嘉浩), Mengzhou Liao(廖梦舟), Zhiheng Huang(黄智恒), Jinpeng Tian(田金朋), Yanbang Chu(褚衍邦), Luojun Du(杜罗军), Wei Yang(杨威), Dongxia Shi(时东霞), Rong Yang(杨蓉), and Guangyu Zhang(张广宇). Precisely controlling the twist angle of epitaxial MoS₂/graphene heterostructure by AFM tip manipulation[J]. 中国物理B, 2022, 31(8): 87302-087302.
[7]	Guo-Bao Zhu(朱国宝), Hui-Min Yang(杨慧敏), and Jie Yang(杨杰). Longitudinal conductivity in ABC-stacked trilayer graphene under irradiating of linearly polarized light[J]. 中国物理B, 2022, 31(8): 88102-088102.
[8]	Zi-Hao Zhu(朱子豪), Bo-Yun Wang(王波云), Xiang Yan(闫香), Yang Liu(刘洋), Qing-Dong Zeng(曾庆栋), Tao Wang(王涛), and Hua-Qing Yu(余华清). Dynamically tunable multiband plasmon-induced transparency effect based on graphene nanoribbon waveguide coupled with rectangle cavities system[J]. 中国物理B, 2022, 31(8): 84210-084210.
[9]	Zeng-Ping Su(苏增平), Tong-Tong Wei(魏彤彤), and Yue-Ke Wang(王跃科). Dual-channel tunable near-infrared absorption enhancement with graphene induced by coupled modes of topological interface states[J]. 中国物理B, 2022, 31(8): 87804-087804.
[10]	Yu Zhang(张钰), Liangguang Jia(贾亮广), Yaoyao Chen(陈瑶瑶), Lin He(何林), and Yeliang Wang(王业亮). Recent advances of defect-induced spin and valley polarized states in graphene[J]. 中国物理B, 2022, 31(8): 87301-087301.
[11]	Fei Wan(万飞), X R Wang(王新茹), L H Liao(廖烈鸿), J Y Zhang(张嘉颜),M N Chen(陈梦南), G H Zhou(周光辉), Z B Siu(萧卓彬), Mansoor B. A. Jalil, and Yuan Li(李源). Valley-dependent transport in strain engineering graphene heterojunctions[J]. 中国物理B, 2022, 31(7): 77302-077302.
[12]	D Ben Jemia, M Karyaoui, M A Wederni, A Bardaoui, M V Martinez-Huerta, M Amlouk, and R Chtourou. Photoelectrochemical activity of ZnO:Ag/rGO photo-anodes synthesized by two-steps sol-gel method[J]. 中国物理B, 2022, 31(5): 58201-058201.
[13]	Tongyao Zhang(张桐耀), Hanwen Wang(王汉文), Xiuxin Xia(夏秀鑫), Chengbing Qin(秦成兵), and Xiaoxi Li(李小茜). Thermionic electron emission in the 1D edge-to-edge limit[J]. 中国物理B, 2022, 31(5): 58504-058504.
[14]	Wenyang Zhao(赵文阳), Li-Chun Xu(徐利春), Yuhong Guo(郭宇宏), Zhi Yang(杨致), Ruiping Liu(刘瑞萍), and Xiuyan Li(李秀燕). TiS₂-graphene heterostructures enabling polysulfide anchoring and fast electrocatalyst for lithium-sulfur batteries: A first-principles calculation[J]. 中国物理B, 2022, 31(4): 47101-047101.
[15]	Xingfei Zhou(周兴飞), Ziying Wu(吴子瀛), Yuchen Bai(白宇晨), Qicheng Wang(王起程), Zhentao Zhu(朱震涛), Wei Yan(闫巍), and Yafang Xu(许亚芳). Light-modulated electron retroreflection and Klein tunneling in a graphene-based n-p-n junction[J]. 中国物理B, 2022, 31(4): 47301-047301.