Topological phase in one-dimensional Rashba wire

doi:10.1088/1674-1056/25/7/077305

Abstract

We study the possible topological phase in a one-dimensional (1D) quantum wire with an oscillating Rashba spin-orbital coupling in real space. It is shown that there are a pair of particle-hole symmetric gaps forming in the bulk energy band and fractional boundary states residing in the gap when the system has an inversion symmetry. These states are topologically nontrivial and can be characterized by a quantized Berry phase ±π or nonzero Chern number through dimensional extension. When the Rashba spin-orbital coupling varies slowly with time, the system can pump out 2 charges in a pumping cycle because of the spin flip effect. This quantized pumping is protected by topology and is robust against moderate disorders as long as the disorder strength does not exceed the opened energy gap.

Keywords: one-dimensional topological phase Rashba spin-orbit interaction spatial modulation quantized pump

Received: 10 December 2015
Revised: 25 March 2016
Accepted manuscript online:

PACS:	73.43.-f	(Quantum Hall effects)
	73.20.-r	(Electron states at surfaces and interfaces)
	72.25.-b	(Spin polarized transport)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 115074045 and 11204187) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20131284).

Corresponding Authors: Jun Wang
E-mail: jwang@seu.edu.cn

Cite this article:

Sa-Ke Wang(汪萨克), Jun Wang(汪军), Jun-Feng Liu(刘军丰) Topological phase in one-dimensional Rashba wire 2016 Chin. Phys. B 25 077305

[1]	Moore J E 2010 Nature 464 194
[2]	Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[3]	Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057
[4]	Qi X L and Zhang S C 2010 Phys. Today 63 33
[5]	Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801
[6]	König M, Wiedmann S, Brüne C, Qi X L and Zhang S C 2007 Science 318 766
[7]	Kraus Y E and Zilberberg O 2012 Phys. Rev. Lett. 109 116404
[8]	Kraus Y E, Lahini Y, Ringel Z, Verbin M and Zilberberg O 2012 Phys. Rev. Lett. 109 106402
[9]	Verbin M, Zilberberg O, Kraus Y E, Lahini Y and Silberberg Y 2013 Phys. Rev. Lett. 110 076403
[10]	Guo H and Chen S 2015 Phys. Rev. B 91 041402
[11]	Lang L J, Cai X and Chen S 2012 Phys. Rev. Lett. 108 220401
[12]	Xu Z, Li L and Chen S 2013 Phys. Rev. Lett. 110 215301
[13]	Cai X, Lang L J, Chen S and Wang Y 2013 Phys. Rev. Lett. 110 176403
[14]	Wang L, Soluyanov A A and Troyer M 2013 Phys. Rev. Lett. 110 166802
[15]	Guo H, Shen S Q and Feng S 2012 Phys. Rev. B 86 085124
[16]	Zhu S L, Wang Z D, Chan Y H and Duan L M 2013 Phys. Rev. Lett. 110 075303
[17]	Atala M, Aidelsburger M, Barreiro J T, Abanin D, Kitagawa T, Demler E and Bloch I 2013 Nat. Phys. 9 795
[18]	Klinovaja J, Stano P and Loss D 2012 Phys. Rev. Lett. 109 236801
[19]	Rainis D, Saha A, Klinovaja J, Trifunovic L and Loss D 2014 Phys. Rev. Lett. 112 196803
[20]	Gangadharaiah S, Trifunovic L and Loss D 2012 Phys. Rev. Lett. 108 136803
[21]	DeGottardi W, Sen D and Vishveshwara S 2013 Phys. Rev. Lett. 110 146404
[22]	Tezuka M and Kawakami N 2012 Phys. Rev. B 85 140508
[23]	Matsuda F, Tezuka M and Kawakami N 2014 J. Phys. Soc. Jpn. 83 083707
[24]	Satija I I and Naumis G G 2013 Phys. Rev. B 88 054204
[25]	Harper P 1955 Proc. Phys. Soc. Sec. A 68 879
[26]	Aubry S and André G 1980 Ann. Isr. Phys. Soc. 3 18
[27]	Levine D and Steinhardt P J 1984 Phys. Rev. Lett. 53 2477
[28]	Su W, Schrieffer J and Heeger A J 1979 Phys. Rev. Lett. 42 1698
[29]	Su W and Schrieffer J 1981 Phys. Rev. Lett. 46 738
[30]	Aharonov Y and Casher A 1984 Phys. Rev. Lett. 53 319
[31]	Sun Q F, Wang J and Guo H 2005 Phys. Rev. B 71 165310
[32]	Nitta J, Meijer F E and Takayanagi H 1999 Appl. Phys. Lett. 75 695
[33]	Bychkov Y A and Rashba E I 1984 J. Phys. C 17 6039
[34]	Datta S and Das B 1990 Appl. Phys. Lett. 56 665
[35]	Fukui T, Hatsugai Y and Suzuki H 2005 J. Phys. Soc. Jpn. 74 1674
[36]	Resta R 1994 Rev. Mod. Phys. 66 899
[37]	Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[38]	Thouless D 1983 Phys. Rev. B 27 6083
[39]	Coh S and Vanderbilt D 2009 Phys. Rev. Lett. 102 107603
[40]	Marzari N, Mostofi A A, Yates J R, Souza I and Vanderbilt D 2012 Rev. Mod. Phys. 84 1419
[41]	Brouwer P 1998 Phys. Rev. B 58 R10135
[42]	Grifoni M and Hänggi P 1998 Physics Reports 304 229
[43]	Kohler S, Lehmann J and Hänggi P 2005 Physics Reports 406 379
[44]	Jauho A P, Wingreen N S and Meir Y 1994 Phys. Rev. B 50 5528
[45]	Arrachea L 2005 Phys. Rev. B 72 125349

[1]	Probability density and oscillating period of magnetopolaron in parabolic quantum dot in the presence of Rashba effect and temperature Ying-Jie Chen(陈英杰) and Feng-Lan Shao(邵凤兰). Chin. Phys. B, 2021, 30(11): 110304.
[2]	Spin flip in single quantum ring with Rashba spin-orbit interation Duan-Yang Liu(刘端阳), Jian-Bai Xia(夏建白). Chin. Phys. B, 2018, 27(3): 037201.
[3]	Topological charge pump by surface acoustic waves Yi Zheng(郑一), Shi-Ping Feng(冯世平), Shi-Jie Yang(杨师杰). Chin. Phys. B, 2016, 25(6): 067301.
[4]	Thermodynamic behaviour of Rashba quantum dot in the presence of magnetic field Sukirti Gumber, Manoj Kumar, Pradip Kumar Jha, Man Mohan. Chin. Phys. B, 2016, 25(5): 056502.
[5]	Thermospin effects in parallel coupled double quantum dots in the presence of the Rashba spin–orbit interaction and Zeeman splitting Xue Hui-Jie(薛惠杰), LŰ Tian-Quan(吕天全), Zhang Hong-Chen(张红晨), Yin Hai-Tao(尹海涛), Cui Lian(催莲), and He Ze-Long(贺泽龙) . Chin. Phys. B, 2012, 21(3): 037201.
[6]	Theoretical study of the trapping efficiency of an optical tweezers array system Li Qin(李勤), Feng Wan-Li(冯万力), Hu Xiao-Ming(胡晓明), Cao Qun(曹群), Sha Ding-Guo(沙定国), and Lin Jia-Ming(林家明) . Chin. Phys. B, 2008, 17(2): 726-735.
[7]	Effects of spin-orbit interaction and magnetic field on the electron transport in quasi-1D ferromagnetic/semiconductor/ferromagnetic system Li Yu-Xian (李玉现), Li Bo-Zang (李伯臧). Chin. Phys. B, 2005, 14(5): 1021-1024.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Topological phase in one-dimensional Rashba wire

Cite this article:

Online attention