Confined states and spin polarization on a topological insulator thin film modulated by an electric potential

doi:10.1088/1674-1056/22/7/077310

中国物理B ›› 2013, Vol. 22 ›› Issue (7): 77310-077310.doi: 10.1088/1674-1056/22/7/077310

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

Confined states and spin polarization on a topological insulator thin film modulated by an electric potential

刘一曼, 邵怀华, 周小英, 周光辉

Department of Physics and Key Laboratory for Low-Dimensional Structures and Quantum Manipulation (Ministry of Education), Hunan Normal University, Changsha 410081, China

收稿日期:2012-11-09 修回日期:2012-12-17 出版日期:2013-06-01 发布日期:2013-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11274108) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20114306110008).

Confined states and spin polarization on a topological insulator thin film modulated by an electric potential

Liu Yi-Man (刘一曼), Shao Huai-Hua (邵怀华), Zhou Xiao-Ying (周小英), Zhou Guang-Hui (周光辉)

Department of Physics and Key Laboratory for Low-Dimensional Structures and Quantum Manipulation (Ministry of Education), Hunan Normal University, Changsha 410081, China

Received:2012-11-09 Revised:2012-12-17 Online:2013-06-01 Published:2013-06-01
Contact: Zhou Guang-Hui E-mail:ghzhou@hunnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11274108) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20114306110008).

摘要/Abstract

摘要： We study the electronic structure and spin polarization for surface states of a three-dimensional topological insulator (TI) thin film modulated by an electrical potential well. By routinely solving the low energy surface Dirac equation for the system, we demonstrated that there exist confined surface states in which the electron density is nearly localized inside the well and is exponentially decayed outside in real space, and their subband dispersions are quasilinear with respect to the propagating wavevector. Interestingly, the top and bottom surface confined states with the same density distribution have opposite spin polarizations due to the hybridization between the two surfaces. Along with the mathematical analysis, we provide an intuitive, topological understanding of the effect.

关键词: topological insulator thin film, electronic structure, spin polarization, electric potential

Abstract: We study the electronic structure and spin polarization for surface states of a three-dimensional topological insulator (TI) thin film modulated by an electrical potential well. By routinely solving the low energy surface Dirac equation for the system, we demonstrated that there exist confined surface states in which the electron density is nearly localized inside the well and is exponentially decayed outside in real space, and their subband dispersions are quasilinear with respect to the propagating wavevector. Interestingly, the top and bottom surface confined states with the same density distribution have opposite spin polarizations due to the hybridization between the two surfaces. Along with the mathematical analysis, we provide an intuitive, topological understanding of the effect.

Key words: topological insulator thin film, electronic structure, spin polarization, electric potential

中图分类号: (Electronic transport phenomena in thin films)

73.50.-h

72.80.Vp (Electronic transport in graphene) 73.23.-b (Electronic transport in mesoscopic systems)

刘一曼, 邵怀华, 周小英, 周光辉. Confined states and spin polarization on a topological insulator thin film modulated by an electric potential[J]. 中国物理B, 2013, 22(7): 77310-077310.

Liu Yi-Man (刘一曼), Shao Huai-Hua (邵怀华), Zhou Xiao-Ying (周小英), Zhou Guang-Hui (周光辉). Confined states and spin polarization on a topological insulator thin film modulated by an electric potential[J]. Chin. Phys. B, 2013, 22(7): 77310-077310.

参考文献 33

[1]	Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[2]	Qi X L and Zhang S C 2010 Phys. Today 63 33
[3]	Burkov A A and Hawthorn D G 2010 Phys. Rev. Lett. 105 066802
[4]	Culcer D, Hwang E H, Stanescu T D and Das Sarma S 2010 Phys. Rev. B 82 155457
[5]	Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407
[6]	Moore J 2009 Nat. Phys. 5 378
[7]	Andrei Bemeving B, Hughes T L and Zhang S C 2006 Science 314 1757
[8]	König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L and Zhang S C 2007 Science 318 766
[9]	Zhang H, Liu C X, Qi X L, Dai X, Fang Z and Zhang S C 2009 Nat. Phys. 5 438
[10]	Xia Y, Qian D, Hsieh D, Wray L, Pal A, Lin H, Bansil A, Grauer D, Hor Y S, Cava R J and Hasan M Z 2009 Nat. Phys. 5 398
[11]	Chen Y L, Analytis J G, Chu J H, Liu Z K, Mo S K, Qi X L, Zhang H J, Lu D H, Dai X, Fang Z, Zhang S C, Fisher I R, Hussain Z and Shen Z X 2009 Science 325 178
[12]	Hsieh D, Xia Y, Wray L, Qian D, PAl A, Dil J H, Osterwalder J, Meier F, Bihlmayer G, Kane C L, Hor Y S, Cava R J and Hasan M Z 2009 Science 323 919
[13]	Alpichshev Z, Analytis J G, Chu J H, Fisher I R, Chen Y L, Shen Z X, Fang A and Kapitulnik A 2010 Phys. Rev. Lett. 104 016401
[14]	Cheng P, Song C, Zhang T, Zhang Y, Wang Y, Jia J F, Wang J, Y. Wang Y, Zhu B F, Chen X, Ma X C, He K, Wang L L, Dai X, Fang Z, Xie X, Qi X L, Liu C X, Zhang S C and Xue Q K 2010 Phys. Rev. Lett. 105 076801
[15]	Yuan J H, Cheng Z, Zhang J J, Zeng Q J and Zhang J P 2011 Chin. Phys. B 21 047203
[16]	Zhang Y, He K, Chang C Z, Song C L, Wang L, Chen X, Jia J, Fang Z, Dai X, Shan W Y, Shen S Q, Niu Q, Qi X, Zhang S C, Ma X, and Xue Q K 2010 Nat. Phys. 6 584
[17]	Jin H, Song J H and Freeman A J 2011 Phys. Rev. B 83 125319
[18]	Liu H Z, Shan W Y, Yao W, Niu Q and Shen S Q 2010 Phy. Rev. B 81 115407
[19]	Liu C X, Zhang H J, Yan B, Qi X L, Frauenheim T, Dai X, fang Z and Zhang S C 2010 Phys. Rev. B 81 041307(R)
[20]	Yu R, Zhang W, Zhang H J, Zhang S C, Dai X and Fang Z 2010 Science 329 61
[21]	Ghaemi P, Mong R S K and Moore J E 2010 Phys. Rev. Lett. 105 166603
[22]	Seradjeh B, Moore J E and Franz M 2009 Phys. Rev. Lett. 103 066402
[23]	Li H, Sheng L, Sheng D N and Xing D Y 2010 Phys. Rev. B 82 165104
[24]	Shan W Y, Lu H Z and Shen S Q 2010 New J. Phys. 12 043048
[25]	Zyuzin A A and Burkov A A 2011 Phys. Rev. B 83 195413
[26]	Li H, Sheng L and Xing D Y 2011 Phys. Rev. B 84 035310
[27]	Chen J, Qin H J, Yang F, Liu J, Guan T, Qu F M, Zhang G H, Shi J R, Xie X C, Yang C L, Wu K H, Li Y Q and Lu L 2010 Phys. Rev. Lett. 105 176602
[28]	Milton Pereira J, Jr, Mlinar V and Peeters F M 2006 Phys. Rev. B 74 045424
[29]	Wu Z H, Peeters F M and Chang K 2011 Appl. Phys. Lett. 98 162101
[30]	Zhai F and Mu P 2011 Appl. Phys. Lett. 98 022107
[31]	Kong B D, Semenov Y G, Krowne C M and Kim K W 2011 Appl. Phys. Lett. 98 243112
[32]	Zhou X Y, Shao H H, Liu Y M, Tang D S and Zhou G H 2012 J. Phys.: Condens. Matter 24 185301
[33]	Shao H H, Zhou X Y, Li Y, Liu G H and Zhou G H 2011 Appl. Phys. Lett. 99 153104

Confined states and spin polarization on a topological insulator thin film modulated by an electric potential

Confined states and spin polarization on a topological insulator thin film modulated by an electric potential

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