Topological properties of one-dimensional hardcore Bose-Fermi mixture

doi:10.1088/1674-1056/22/9/090308

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90308-090308.doi: 10.1088/1674-1056/22/9/090308

Topological properties of one-dimensional hardcore Bose-Fermi mixture

贾永飞^a, 郭怀明^a, 秦吉红^b, 陈子瑜^a, 冯世平^c

a Department of Physics, Beihang University, Beijing 100191, China;
b Department of Physics, University of Science and Technology Beijing, Beijing 100083, China;
c Department of Physics, Beijing Normal University, Beijing 100875, China

收稿日期:2013-04-07 修回日期:2013-05-02 出版日期:2013-07-26 发布日期:2013-07-26
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11274032, 11104189, 11004006, 11274033, 11074023, and 11274044) and FOK YING TUNG Education Foundation, China.

Topological properties of one-dimensional hardcore Bose-Fermi mixture

Jia Yong-Fei (贾永飞)^a, Guo Huai-Ming (郭怀明)^a, Qin Ji-Hong (秦吉红)^b, Chen Zi-Yu (陈子瑜)^a, Feng Shi-Ping (冯世平)^c

a Department of Physics, Beihang University, Beijing 100191, China;
b Department of Physics, University of Science and Technology Beijing, Beijing 100083, China;
c Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2013-04-07 Revised:2013-05-02 Online:2013-07-26 Published:2013-07-26
Contact: Guo Huai-Ming E-mail:hmguo@buaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11274032, 11104189, 11004006, 11274033, 11074023, and 11274044) and FOK YING TUNG Education Foundation, China.

摘要/Abstract

摘要： We study the topological properties of a one-dimensional (1D) hardcore Bose-Fermi mixture using the exact diagonalization method. We firstly add a hardcore boson to a fermionic system and by examining the edge states we find that the quasi-particle manifests the topological properties of the system. Then we study a mixture with 7 fermions and 1 boson. We find that the mixture also exhibits topological properties and its behaviors are similar to that of the corresponding fermionic system. We present a qualitative explanation to understand such behaviors using the mapping between a hardcore boson and a spinless fermion. These results show the existence of topological properties in a 1D hardcore Bose-Fermi mixture and may be realized using cold atoms trapped in optical lattices experimentally.

关键词: Bose-Fermi mixture, topological insulators

Abstract: We study the topological properties of a one-dimensional (1D) hardcore Bose-Fermi mixture using the exact diagonalization method. We firstly add a hardcore boson to a fermionic system and by examining the edge states we find that the quasi-particle manifests the topological properties of the system. Then we study a mixture with 7 fermions and 1 boson. We find that the mixture also exhibits topological properties and its behaviors are similar to that of the corresponding fermionic system. We present a qualitative explanation to understand such behaviors using the mapping between a hardcore boson and a spinless fermion. These results show the existence of topological properties in a 1D hardcore Bose-Fermi mixture and may be realized using cold atoms trapped in optical lattices experimentally.

Key words: Bose-Fermi mixture, topological insulators

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

71.27.+a (Strongly correlated electron systems; heavy fermions)

贾永飞, 郭怀明, 秦吉红, 陈子瑜, 冯世平. Topological properties of one-dimensional hardcore Bose-Fermi mixture[J]. 中国物理B, 2013, 22(9): 90308-090308.

Jia Yong-Fei (贾永飞), Guo Huai-Ming (郭怀明), Qin Ji-Hong (秦吉红), Chen Zi-Yu (陈子瑜), Feng Shi-Ping (冯世平). Topological properties of one-dimensional hardcore Bose-Fermi mixture[J]. Chin. Phys. B, 2013, 22(9): 90308-090308.

参考文献 49

[1]	Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 146802
[2]	Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801
[3]	Moore J E 2010 Nature 464 194
[4]	Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[5]	Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057
[6]	Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407
[7]	Seradjeh B, Moore J E and Franz M 2009 Phys. Rev. Lett. 103 066402
[8]	Wang Z M 2011 Acta Phys. Sin. 60 094205 (in Chinese)
[9]	Ren Ji Rong, Zhu T and Duan Y S 2008 Chin. Phys. Lett. 25 367
[10]	Li K, Sayipjamal D and Wang J H 2008 Chin. Phys. B 17 1716
[11]	Varney C N, Sun K, Rigol M and Galitski V 2010 Phys. Rev. B 82 115125
[12]	Hohenadler M, Lang T C and Assaad F F 2011 Phys. Rev. Lett. 106 100403
[13]	Yu S L, Xie X C and Li J X 2011 Phys. Rev. Lett. 107 010401
[14]	Zheng D, Zhang G M and Wu C J 2011 Phys. Rev. B 84 205121
[15]	Yamaji Y and Imada M 2011 Phys. Rev. B 83 205122
[16]	Liu J B, Li J H, Song P J and Li W B 2008 Chin. Phys. B 17 38
[17]	Wang Z, Qi X L and Zhang S C 2010 Phys. Rev. Lett. 105 256803
[18]	Wang Z, Qi X L and Zhang S C 2012 Phys. Rev. B 85 165126
[19]	Wang Z and Zhang S C 2012 Phys. Rev. X 2 031008
[20]	Gurarie V 2011 Phys. Rev. B 83 085426
[21]	Fidkowski L and Kitaev A 2010 Phys. Rev. B 81 134509
[22]	Tang E and Wen X G 2012 Phys. Rev. Lett. 109 096403
[23]	Tang E, Mei J W and Wen X G 2011 Phys. Rev. Lett. 106 236802
[24]	Neupert T, Santos L, Chamon C and Mudry C 2011 Phys. Rev. Lett. 106 236804
[25]	Sun K, Gu Z, Katsura H and Das Sarma S 2011 Phys. Rev. Lett. 106 236803
[26]	Wang F and Ran Y 2011 Phys. Rev. B 84 241103
[27]	Hu X, Kargarian M and Fiete G A 2011 Phys. Rev. B 84 155116
[28]	Neupert T, Santos L, Ryu S, Chamon C and Mudry C 2011 Phys. Rev. B 84 165107
[29]	Weeks C and Franz M 2012 Phys. Rev. B 85 041104
[30]	Sheng D N, Gu Z C, Sun K and Sheng L 2011 Nature Commun. 2 389
[31]	Regnault N and Bernevig B A 2011 Phys. Rev. X 1 021014
[32]	Wu Y L, Bernevig B A and Regnault N 2012 Phys. Rev. B 85 075116
[33]	Wang Y F, Gu Z C, Gong C D and Sheng D N 2011 Phys. Rev. Lett. 107 146803
[34]	Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
[35]	Goldman N, Urban D F and Bercioux D 2011 Phys. Rev. A 83 063601
[36]	Stanescu T D, Galitski V and Das Sarma S 2010 Phys. Rev. A 82 013608
[37]	Goldman N, Satija I, Nikolic P, Bermudez A, Martin-Delgado M A, Lewenstein M and Spielman I B 2010 Phys. Rev. Lett. 105 255302
[38]	Liu X J, Liu X, Wu C and Sinova J 2010 Phys. Rev. A 81 033622
[39]	Günter K, Stöferle T, Moritz H, Köhl M and Esslinger T 2006 Phys. Rev. Lett. 96 180402
[40]	Ospelkaus S, Ospelkaus C, Humbert L, Sengstock K and Bongs K 2006 Phys. Rev. Lett. 97 120403
[41]	Guo H M, Shen S Q and Feng S P 2012 Phys. Rev. B 86 085124
[42]	Guo H M and Shen S Q 2011 Phys. Rev. B 84 195107
[43]	Resta R 1994 Rev. Mod. Phys. 66 899
[44]	Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[45]	Niu Q, Thouless D J and Wu Y S 1985 Phys. Rev. B 31 3372
[46]	Alavi S A 2003 Chin. Phys. Lett. 20 605
[47]	Yan X B 2007 Chin. Phys. Lett. 24 2170
[48]	Matsubara T and Matsuda H 1956 Prog. Theor. Phys. 16 569
[49]	Jordan P and Wigner E 1928 Z. Phys. 47 631

Topological properties of one-dimensional hardcore Bose-Fermi mixture

Topological properties of one-dimensional hardcore Bose-Fermi mixture

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 49

相关文章 13

Metrics

本文评价

推荐阅读 0

[1]	Junjie Wang(王俊杰), Fude Li(李福德), and Xuexi Yi(衣学喜). Hall conductance of a non-Hermitian two-band system with k-dependent decay rates[J]. 中国物理B, 2023, 32(2): 20305-020305.
[2]	Ziliang Li(李子亮), Zhengyu Gu(顾正宇), Zhenlian Shi(师振莲), Pengjun Wang(王鹏军), and Jing Zhang(张靖). Quantum degenerate Bose-Fermi atomic gas mixture of ²³Na and ⁴⁰K[J]. 中国物理B, 2023, 32(2): 23701-023701.
[3]	Jie Miao(苗杰), Guoqi Bian(边国旗), Biao Shan(单标), Liangchao Chen(陈良超), Zengming Meng(孟增明), Pengjun Wang(王鹏军), Lianghui Huang(黄良辉), and Jing Zhang(张靖). Achieving ultracold Bose-Fermi mixture of ⁸⁷Rb and ⁴⁰K with dual dark magnetic-optical-trap[J]. 中国物理B, 2022, 31(8): 80306-080306.
[4]	侯延辉, 张腾, 孙家涛, 刘立巍, 姚裕贵, 王业亮. Progress on 2D topological insulators and potential applications in electronic devices[J]. 中国物理B, 2020, 29(9): 97304-097304.
[5]	贺雨晴, 蒋毅, 张田田, 黄荷, 方辰, 金钟. SymTopo:An automatic tool for calculating topological properties of nonmagnetic crystalline materials[J]. 中国物理B, 2019, 28(8): 87102-087102.
[6]	张敏昊, 王学锋, 宋凤麒, 张荣. Electrical spin polarization through spin-momentum locking in topological-insulator nanostructures[J]. 中国物理B, 2018, 27(9): 97307-097307.
[7]	张亢, 潘海洋, 魏仲夏, 张敏昊, 宋风麒, 王学锋, 张荣. Synthesis and magnetotransport properties of Bi₂Se₃ nanowires[J]. 中国物理B, 2017, 26(9): 96101-096101.
[8]	王枫秋. Two-dimensional materials for ultrafast lasers[J]. 中国物理B, 2017, 26(3): 34202-034202.
[9]	张敏昊, 李焱, 宋凤麒, 王学锋, 张荣. Quantum oscillations and nontrivial transport in (Bi_0.92In_0.08)₂Se₃[J]. 中国物理B, 2017, 26(12): 127305-127305.
[10]	杨中强, 贾金锋, 钱冬. Two-dimensional topological insulators with large bulk energy gap[J]. 中国物理B, 2016, 25(11): 117312-117312.
[11]	修发贤, 赵彤彤. Topological insulator nanostructures and devices[J]. 中国物理B, 2013, 22(9): 96104-096104.
[12]	高春雷, 钱冬, 刘灿华, 贾金锋, 刘锋. Topological edge states and electronic structures of a 2D topological insulator: Single-bilayer Bi (111)[J]. 中国物理B, 2013, 22(6): 67304-067304.
[13]	王元生, 颜培根, 李彬, 刘学深. Spontaneous symmetry breaking of a Bose–Fermi mixture in a two-dimensional double-well potential[J]. 中国物理B, 2012, 21(1): 10309-010309.