Anomalous time-reversal symmetric non-Hermitian systems

doi:10.1088/1674-1056/ad2502

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60302-060302.doi: 10.1088/1674-1056/ad2502

Anomalous time-reversal symmetric non-Hermitian systems

Yifei Yi(易益妃)†

Sichuan Normal University, Chengdu 610066, China

收稿日期:2023-11-12 修回日期:2024-01-02 接受日期:2024-02-02 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Yifei Yi E-mail:2946304594@qq.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12304201).

Anomalous time-reversal symmetric non-Hermitian systems

Yifei Yi(易益妃)†

Sichuan Normal University, Chengdu 610066, China

Received:2023-11-12 Revised:2024-01-02 Accepted:2024-02-02 Online:2024-06-18 Published:2024-06-18
Contact: Yifei Yi E-mail:2946304594@qq.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12304201).

摘要/Abstract

摘要： The conditions for the emergence of the non-Hermitian skin effect, as a unique physical response of non-Hermitian systems, have now become one of the hot research topics. In this paper, we study the novel physical responses of non-Hermitian systems with anomalous time-reversal symmetry, in both one dimension and two dimensions. Specifically, we focus on whether the systems will exhibit a non-Hermitian skin effect. We employ the theory of generalized Brillouin zone and also numerical methods to show that the anomalous time-reversal symmetry can prevent the skin effect in one-dimensional non-Hermitian systems, but is unable to exert the same effectiveness in two-dimensional cases.

关键词: skin effect, symmetry, non-Hermitian systems

Abstract: The conditions for the emergence of the non-Hermitian skin effect, as a unique physical response of non-Hermitian systems, have now become one of the hot research topics. In this paper, we study the novel physical responses of non-Hermitian systems with anomalous time-reversal symmetry, in both one dimension and two dimensions. Specifically, we focus on whether the systems will exhibit a non-Hermitian skin effect. We employ the theory of generalized Brillouin zone and also numerical methods to show that the anomalous time-reversal symmetry can prevent the skin effect in one-dimensional non-Hermitian systems, but is unable to exert the same effectiveness in two-dimensional cases.

Key words: skin effect, symmetry, non-Hermitian systems

中图分类号: (Quantum systems with finite Hilbert space)

03.65.Aa

03.65.Yz (Decoherence; open systems; quantum statistical methods)

Yifei Yi(易益妃). Anomalous time-reversal symmetric non-Hermitian systems[J]. 中国物理B, 2024, 33(6): 60302-060302.

Yifei Yi(易益妃). Anomalous time-reversal symmetric non-Hermitian systems[J]. Chin. Phys. B, 2024, 33(6): 60302-060302.

参考文献

[1] Ghatak A, Brandenbourger M, Van Wezel J and Coulais C 2020 Proc. Natl. Acad. Sci. USA 117 29561
[2] Helbig T, Hofmann T, Imhof S, Abdelghany M, Kiessling T, Molenkamp L W, Lee C H, Szameit A, Greiter M and Thomale R 2019 arXiv:1907.11562
[3] Xiao L, Deng T, Wang K, Zhu G, Wang Z, Yi W and Xue P 2020 Nat. Phys. 16 761
[4] Hofmann T, Helbig T, Schindler F, Salgo N, Brzezińska M, Greiter M, Kiessling T, Wolf D, Vollhardt A, Kabaši A, et al. 2020 Phys. Rev. Res. 2 023265
[5] Kittel 1976 Introduction to Solid State Physics
[6] Hu Y C and Hughes T L 2011 Phys. Rev. B 84 153101
[7] Esaki K, Sato M, Hasebe K and Kohmoto M 2011 Phys. Rev. B 84 205128
[8] Lee T E 2016 Phys. Rev. Lett. 116 133903
[9] Leykam D, Bliokh K Y, Huang C, Chong Y D and Nori F 2017 Phys. Rev. Lett. 118 040401
[10] Alvarez V M, Vargas J B and Torres L F 2018 Phys. Rev. B 97 121401
[11] Xiong Y 2018 Journal of Physics Communications 2 035043
[12] Gong Z, Ashida Y, Kawabata K, Takasan K, Higashikawa S and Ueda M 2018 Phys. Rev. X 8 031079
[13] Shen H, Zhen B and Fu L 2018 Phys. Rev. Lett. 120 146402
[14] Kunst F K, Edvardsson E, Budich J C and Bergholtz E J 2018 Phys. Rev. Lett. 121 026808
[15] Jin L and Song Z 2019 Phys. Rev. B 99 081103
[16] Wang H, Ruan J and Zhang H 2019 Phys. Rev. B 99 075130
[17] Edvardsson E, Kunst F K and Bergholtz E J 2019 Phys. Rev. B 99 081302
[18] Lee C H and Thomale R 2019 Phys. Rev. B 99 201103
[19] Yao S and Wang Z 2018 Phys. Rev. Lett. 121 086803
[20] Yao S, Song F and Wang Z 2018 Phys. Rev. Lett. 121 136802
[21] Yokomizo K and Murakami S 2019 Phys. Rev. Lett. 123 066404
[22] Zhang K, Yang Z and Fang C 2020 Phys. Rev. Lett. 125 126402
[23] Okuma N, Kawabata K, Shiozaki K and Sato M 2020 Phys. Rev. Lett. 124 086801
[24] Yang Z, Zhang K, Fang C and Hu J 2020 Phys. Rev. Lett. 125 226402
[25] Yi Y and Yang Z 2020 Phys. Rev. Lett. 125 186802
[26] Li L, Lee C H and Gong J 2020 Phys. Rev. Lett. 124 250402
[27] Borgnia D S, Kruchkov A J and Slager R J 2020 Phys. Rev. Lett. 124 056802
[28] Longhi S 2019 Phys. Rev. Res. 1 023013
[29] Longhi S 2020 Phys. Rev. Lett. 124 066602
[30] Zhang K, Yang Z and Fang C 2022 Nat. Commun. 13 2496
[31] Song F, Yao S and Wang Z 2019 Phys. Rev. Lett. 123 170401
[32] Deng T S and Yi W 2019 Phys. Rev. B 100 035102
[33] Luo XW and Zhang C 2019 Phys. Rev. Lett. 123 073601
[34] Imura K I and Takane Y 2019 Phys. Rev. B 100 165430
[35] Lieu S 2018 Phys. Rev. B 97 045106
[36] Kawabata K, Shiozaki K, Ueda M and Sato M 2019 Phys. Rev. X 9 041015
[37] Zhou H and Lee J Y 2019 Phys. Rev. B 99 235112
[38] Zhou H, Peng C, Yoon Y, Hsu C W, Nelson K A, Fu L, Joannopoulos J D, Soljačić M and Zhen B 2018 Science 359 1009
[39] Budich J C, Carlström J, Kunst F K and Bergholtz E J 2019 Phys. Rev. B 99 041406
[40] Yoshida T, Peters R, Kawakami N and Hatsugai Y 2019 Phys. Rev. B 99 121101
[41] Kawabata K, Bessho T and Sato M 2019 Phys. Rev. Lett. 123 066405
[42] Longhi S 2019 Phys. Rev. Lett. 122 237601
[43] Kunst F K and Dwivedi V 2019 Phys. Rev. B 99 245116
[44] Wang K, Dutt A, Yang K Y, Wojcik C C, Vučković J and Fan S 2021 Science 371 1240
[45] Kawabata K, Shiozaki K and Ryu S 2022 Phys. Rev. B 105 165137
[46] Wu H C, Jin L and Song Z 2019 Phys. Rev. B 100 155117
[47] Jin L and Song Z 2019 Phys. Rev. B 99 081103
[48] Li L, Lee C H and Gong J 2020 Phys. Rev. Lett. 124 250402
[49] Lee C H, Li L and Gong J 2019 Phys. Rev. Lett. 123 016805
[50] Ezawa M 2019 Phys. Rev. B 99 121411
[51] Ezawa M 2019 Phys. Rev. B 99 201411
[52] Liu T, Zhang Y R, Ai Q, Gong Z, Kawabata K, Ueda M and Nori F 2019 Phys. Rev. Lett. 122 076801
[53] Kawabata K, Sato M and Shiozaki K 2020 Phys. Rev. B 102 205118
[54] Fu Y, Hu J and Wan S 2021 Phys. Rev. B 103 045420

Anomalous time-reversal symmetric non-Hermitian systems

Anomalous time-reversal symmetric non-Hermitian systems

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