Spin-valley quantum Hall phases in graphene

doi:10.1088/1674-1056/24/12/127301

中国物理B ›› 2015, Vol. 24 ›› Issue (12): 127301-127301.doi: 10.1088/1674-1056/24/12/127301

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Spin-valley quantum Hall phases in graphene

田宏玉

Department of Physics, Yancheng Institute of Technology, Yancheng 224051, China

收稿日期:2015-06-26 修回日期:2015-08-06 出版日期:2015-12-05 发布日期:2015-12-05
通讯作者: Tian Hong-Yu E-mail:tianhy2010@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11447218, 11274059, 11404278, and 11447216).

Spin-valley quantum Hall phases in graphene

Tian Hong-Yu (田宏玉)

Department of Physics, Yancheng Institute of Technology, Yancheng 224051, China

Received:2015-06-26 Revised:2015-08-06 Online:2015-12-05 Published:2015-12-05
Contact: Tian Hong-Yu E-mail:tianhy2010@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11447218, 11274059, 11404278, and 11447216).

摘要/Abstract

摘要： We theoretically investigate possible quantum Hall phases and corresponding edge states in graphene by taking a strong magnetic field, Zeeman splitting M, and sublattice potential Δ into account but without spin-orbit interaction. It was found that for the undoped graphene either a quantum valley Hall phase or a quantum spin Hall phase emerges in the system, depending on relative magnitudes of M and Δ . When the Fermi energy deviates from the Dirac point, the quantum spin-valley Hall phase appears and its characteristic edge state is contributed only by one spin and one valley species. The metallic boundary states bridging different quantum Hall phases possess a half-integer quantized conductance, like e²/2h or 3e²/2h. The possibility of tuning different quantum Hall states with M and Δ suggests possible graphene-based spintronics and valleytronics applications.

关键词: quantum Hall phases, graphene, magnetic field, metallic boundary states

Abstract: We theoretically investigate possible quantum Hall phases and corresponding edge states in graphene by taking a strong magnetic field, Zeeman splitting M, and sublattice potential Δ into account but without spin-orbit interaction. It was found that for the undoped graphene either a quantum valley Hall phase or a quantum spin Hall phase emerges in the system, depending on relative magnitudes of M and Δ . When the Fermi energy deviates from the Dirac point, the quantum spin-valley Hall phase appears and its characteristic edge state is contributed only by one spin and one valley species. The metallic boundary states bridging different quantum Hall phases possess a half-integer quantized conductance, like e²/2h or 3e²/2h. The possibility of tuning different quantum Hall states with M and Δ suggests possible graphene-based spintronics and valleytronics applications.

Key words: quantum Hall phases, graphene, magnetic field, metallic boundary states

中图分类号: (Surface states, band structure, electron density of states)

73.20.At

72.25.Dc (Spin polarized transport in semiconductors) 73.22.Pr (Electronic structure of graphene) 73.43.Nq (Quantum phase transitions)

田宏玉. Spin-valley quantum Hall phases in graphene[J]. 中国物理B, 2015, 24(12): 127301-127301.

Tian Hong-Yu (田宏玉). Spin-valley quantum Hall phases in graphene[J]. Chin. Phys. B, 2015, 24(12): 127301-127301.

参考文献 42

[1]	Rycerz A, Tworzydlo J and Beenakker C W J 2007 Nat. Phys. 3 172
[2]	Das Sarma S, Adam S, Hwang E H and Rossi E 2011 Rev. Mod. Phys. 83 407
[3]	Gusynin V P and Sharapov S G 2005 Phys. Rev. Lett. 95 146801
[4]	Peres N M R, Guinea F and Castro Neto A H 2006 Phys. Rev. B 73 125411
[5]	Zhang Y, Jiang Z, Small J P, Purewal M S, Tan Y W, Fazlollahi M, Chudow J D, Jaszczak J A, Stormer H L and Kim P 2006 Phys. Rev. Lett. 96 136806
[6]	Jiang Z, Zhang Y, Stormer H L and Kim P 2007 Phys. Rev. Lett. 99 106802
[7]	Song Y J, Otte A F, Kuk Y, Hy Y, Torrance D B, First P N, de Heer W A, Min H, Adam S, Stiles M D, MacDonald A H and Strocio J A 2010 Nature 467 185
[8]	Alicea J and Fisher M P A 2006 Phys. Rev. B 74 075422
[9]	Sheng L, Sheng D N, Haldane F D M and Balents L 2007 Phys. Rev. Lett. 99 196802
[10]	Herbut I F 2007 Phys. Rev. B 75 165411
[11]	Nomura K, Ryu S and Lee D H 2009 Phys. Rev. Lett. 103 216801
[12]	Hou C Y, Chamon C and Mudry C 2010 Phys. Rev. B 81 075427
[13]	Abanin D A, Lee P A and Levitov L S 2006 Phys. Rev. Lett. 96 176803
[14]	Abanin D A, Novoselov K S, Zeitler U, Lee P A, Geim A K and Levitov L S 2007 Phys. Rev. Lett. 98 196806
[15]	Jung J and MacDonald A H 2009 Phys. Rev. B 80 235417
[16]	Herbut I F 2007 Phys. Rev. B 76 085432
[17]	Kharitonov M 2012 Phys. Rev. B 85 155439
[18]	Kharitonov M 2012 Phys. Rev. B 86 075450
[19]	Roy B, Kennett M P and Das Sarma S, arXiv:1406.5184
[20]	Young A F, Sanchez-Yamagishi J D, Hunt B, Choi S H, Watanabe K, Taniguchi T, Ashoori R C and Jarillo-Herrero P 2014 Nature 505 528
[21]	Pyatkovskiy P K and Miransky V A 2014 Phys. Rev. B 90 195407
[22]	Lado J L and Fernández-Rossier J 2014 Phys. Rev. B 90 165429
[23]	Zhu W, Yuan H Y, Shi Q W, Hou J G and Wang X R 2011 New J. Phys. 13 113008
[24]	Ezawa M 2012 Phys. Rev. Lett. 109 055502
[25]	Ezawa M 2012 New J. Phys. 14 033003
[26]	Ezawa M 2013 Phys. Rev. B 87 155415
[27]	Ezawa M 2013 Appl. Phys. Lett. 102 172103
[28]	Amet F, Williams J R, Watanabe K, Taniguchi T and Gordon D G 2013 Phys. Rev. Lett. 110 216601
[29]	Rycerz A, Tworzydlo J and Beenakker C W J 2007 Nat. Phys. 3 172
[30]	Yu G L, Jalil R, Belle B, Mayorov A S, Blake P, Schedin F, et al. 2013 Proc. Natl. Acad. Sci. USA 110 3282
[31]	Tahir M, Sabeeh K, Shaukat A and Schwingenschlögl U 2013 J. Appl. Phys. 114 223711
[32]	Rycerz A, Tworzydlo J and Beenakker C W J 2007 Nat. Phys. 3 172
[33]	Xiao D, Yao W and Niu Q 2007 Phys. Rev. Lett. 99 236809
[34]	Krstajić P M and Vasilopoulos P 2012 Phys. Rev. B 86 115432
[35]	Krstajić P M and Vasilopoulos P 2011 Phys. Rev. B 83 075427
[36]	Tahir M and Sabeeh K 2012 J. Phys.: Condens. Matter 24 135005
[37]	Tse W K, Qiao Z H, Yao Y G, MacDonald A H and Niu Q 2011 Phys. Rev. B 83 155447
[38]	Gusynin V P, Miransky V A, Sharapov S G, Shovkovy I A and Wyenberg C M 2009 Phys. Rev. B 79 115431
[39]	Gusynin V P, Miransky V A, Sharapov S G and Shovkovy I A 2008 Phys. Rev. B 77 205409
[40]	Abanin D A, Lee P A and Levitov L S 2006 Phys. Rev. Lett. 96 176803
[41]	Jung J and MacDonald A H 2009 Phys. Rev. B 80 235417
[42]	Pyatkovskiy P K and Miransky V A 2014 Phys. Rev. B 90 195407

Spin-valley quantum Hall phases in graphene

Spin-valley quantum Hall phases in graphene

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 42

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]	Qing-Yun Xu(徐清芸), Yong-Lin He(何永林), Zhi-Jie Yang(杨志杰), Zhi-Xian Lei(雷志仙),Shu-Juan Yan(闫淑娟), Xue-Shen Liu(刘学深), and Jing Guo(郭静). Quantum control of ultrafast magnetic field in H₃²⁺ molecules by tricircular polarized laser pulses[J]. 中国物理B, 2023, 32(3): 33202-033202.
[3]	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.
[4]	Yan Zhou(周岩), Peiyu Ji(季佩宇), Maoyang Li(李茂洋), Lanjian Zhuge(诸葛兰剑), and Xuemei Wu(吴雪梅). Influence of magnetic field on power deposition in high magnetic field helicon experiment[J]. 中国物理B, 2023, 32(2): 25205-025205.
[5]	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.
[6]	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.
[7]	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.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	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.
[13]	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.
[14]	Fan Wang(王帆), Jingjing Xu(徐晶晶), Yanbin Ge(葛彦斌), Shengyong Xu(许胜勇),Yanjun Fu(付琰军), Caiyu Shi(石蔡语), and Jianming Xue(薛建明). Simulation of the physical process of neural electromagnetic signal generation based on a simple but functional bionic Na⁺ channel[J]. 中国物理B, 2022, 31(6): 68701-068701.
[15]	Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Vortex chains induced by anisotropic spin-orbit coupling and magnetic field in spin-2 Bose-Einstein condensates[J]. 中国物理B, 2022, 31(6): 60305-060305.