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The skin effect and topological edge states in non-Hermitian system have been well-studied, and the second-order skin effect and corner modes have also been proposed in non-Hermitian system recently.
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2015
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Ching-Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder, and Shinsei Ryu, “Classification of topological quantum matter with symmetries,” Rev. Mod. Phys. 88
2016
Cited alongside, same era.
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2017
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2017
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Zongping Gong, Yuto Ashida, Kohei Kawabata, Kazuaki Takasan, Sho Higashikawa, and Masahito Ueda, “Topological phases of non-hermitian systems,” Phys. Rev. X 8
2018
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Eyal Cornfeld and Adam Chapman, “Classification of crystalline topological insulators and superconductors with point group symmetries,” Phys. Rev. B 99
2019
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2019
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Moon Jip Park, Youngkuk Kim, Gil Young Cho, and SungBin Lee, “Higher-order topological insulator in twisted bilayer graphene,” Phys. Rev. Lett. 123
2019
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Ching Hua Lee and Ronny Thomale, “Anatomy of skin modes and topology in non-hermitian systems,” Phys. Rev. B 99
2019
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S. Longhi, “Topological phase transition in non-hermitian quasicrystals,” Phys. Rev. Lett. 122
2019
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Kazuki Yokomizo and Shuichi Murakami, “Non-bloch band theory of non-hermitian systems,” Phys. Rev. Lett. 123
2019
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Fei Song, Shunyu Yao, and Zhong Wang, “Non-hermitian skin effect and chiral damping in open quantum systems,” Phys. Rev. Lett. 123
2019
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Ken-Ichiro Imura and Yositake Takane, “Generalized bulk-edge correspondence for non-hermitian topological systems,” Phys. Rev. B 100
2019
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Nobuyuki Okuma and Masatoshi Sato, “Topological phase transition driven by infinitesimal instability: Majorana fermions in non-hermitian spintronics,” Phys. Rev. Lett. 123
2019
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Tomoki Ozawa, Hannah M. Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C. Rechtsman, David Schuster, Jonathan Simon, Oded Zilberberg, and Iacopo Carusotto, “Topological photonics,” Rev. Mod. Phys. 91
2019
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Elisabet Edvardsson, Flore K. Kunst, and Emil J. Bergholtz, “Non-hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence,” Phys. Rev. B 99
2019
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Motohiko Ezawa, “Non-hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits,” Phys. Rev. B 99
2019
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Tao Liu, Yu-Ran Zhang, Qing Ai, Zongping Gong, Kohei Kawabata, Masahito Ueda, and Franco Nori, “Second-order topological phases in non-hermitian systems,” Phys. Rev. Lett. 122
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Zhiwang Zhang, María Rosendo López, Ying Cheng, Xiaojun Liu, and Johan Christensen, “Non-hermitian sonic second-order topological insulator,” Phys. Rev. Lett. 122
2019
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Ching Hua Lee, Linhu Li, and Jiangbin Gong, “Hybrid higher-order skin-topological modes in nonreciprocal systems,” Phys. Rev. Lett. 123
2019
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Yutaro Tanaka, Ryo Takahashi, and Shuichi Murakami, “Appearance of hinge states in second-order topological insulators via the cutting procedure,” Phys. Rev. B 101
2020
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Dan S. Borgnia, Alex Jura Kruchkov, and Robert-Jan Slager, “Non-hermitian boundary modes and topology,” Phys. Rev. Lett. 124
2020
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Nobuyuki Okuma, Kohei Kawabata, Ken Shiozaki, and Masatoshi Sato, “Topological origin of non-hermitian skin effects,” Phys. Rev. Lett. 124
2020
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Haoran Xue, Qiang Wang, Baile Zhang, and Y. D. Chong, “Non-hermitian dirac cones,” Phys. Rev. Lett. 124
2020
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Ryo Okugawa, Ryo Takahashi, and Kazuki Yokomizo, “Second-order topological non-hermitian skin effects,” Phys. Rev. B 102
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Zhesen Yang, Kai Zhang, Chen Fang, and Jiangping Hu, “Non-hermitian bulk-boundary correspondence and auxiliary generalized brillouin zone theory,” Phys. Rev. Lett. 125
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Yifei Yi and Zhesen Yang, “Non-hermitian skin modes induced by on-site dissipations and chiral tunneling effect,” Phys. Rev. Lett. 125
2020
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