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We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems.
Jean Dalibard, Yvan Castin, and Klaus Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Phys. Rev. Lett. 68
1992
Earlier work this paper cites.
Klaus Mølmer, Yvan Castin, and Jean Dalibard, “Monte carlo wave-function method in quantum optics,” J. Opt. Soc. Am. B 10
1993
Earlier work this paper cites.
Gerd M. Krause, “Bounds for the variation of matrix eigenvalues and polynomial roots,” Linear Algebra and its Applications 208-209
1994
Earlier work this paper cites.
Naomichi Hatano and David R. Nelson, “Localization transitions in non-hermitian quantum mechanics,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
Ilya Ya. Goldsheid and Boris A. Khoruzhenko, “Distribution of eigenvalues in non-hermitian anderson models,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
Ingo Peschel, “Calculation of reduced density matrices from correlation functions,” Journal of Physics A: Mathematical and General 36
2003
Earlier work this paper cites.
WD Heiss, “Exceptional points of non-hermitian operators,” Journal of Physics A: Mathematical and General 37
2004
Earlier work this paper cites.
Said Kouachi, “Eigenvalues and eigenvectors of tridiagonal matrices,” The Electronic Journal of Linear Algebra 15
2006
Earlier work this paper cites.
M. S. Rudner and L. S. Levitov, “Topological transition in a non-hermitian quantum walk,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
Kenta Esaki, Masatoshi Sato, Kazuki Hasebe, and Mahito Kohmoto, “Edge states and topological phases in non-hermitian systems,” Phys. Rev. B 84
2011
Earlier work this paper cites.
Alois Regensburger, Christoph Bersch, Mohammad-Ali Miri, Georgy Onishchukov, Demetrios N. Christodoulides, and Ulf Peschel, “Parity–time synthetic photonic lattices,” Nature 488
2012
Earlier work this paper cites.
Bo Peng, Şahin Kaya Özdemir, Fuchuan Lei, Faraz Monifi, Mariagiovanna Gianfreda, Gui Lu Long, Shanhui Fan, Franco Nori, Carl M. Bender, and Lan Yang, “Parity–time-symmetric whispering-gallery microcavities,” Nature Physics 10
2014
Earlier work this paper cites.
Julia M. Zeuner, Mikael C. Rechtsman, Yonatan Plotnik, Yaakov Lumer, Stefan Nolte, Mark S. Rudner, Mordechai Segev, and Alexander Szameit, “Observation of a topological transition in the bulk of a non-hermitian system,” Phys. Rev. Lett. 115
2015
Earlier work this paper cites.
Tony E. Lee, “Anomalous edge state in a non-hermitian lattice,” Phys. Rev. Lett. 116
2016
Earlier work this paper cites.
Liang Feng, Ramy El-Ganainy, and Li Ge, “Non-hermitian photonics based on parity–time symmetry,” Nature Photonics 11
2017
Earlier work this paper cites.
Daniel Leykam, Konstantin Y. Bliokh, Chunli Huang, Y. D. Chong, and Franco Nori, “Edge modes, degeneracies, and topological numbers in non-hermitian systems,” Phys. Rev. Lett. 118
2017
Earlier work this paper cites.
I. Yusipov, T. Laptyeva, S. Denisov, and M. Ivanchenko, “Localization in open quantum systems,” Phys. Rev. Lett. 118
2017
Earlier work this paper cites.
Phillip Weinberg and Marin Bukov, “QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains,” SciPost Phys. 2
2017
Earlier work this paper cites.
David R. Barton, Hadiseh Alaeian, Mark Lawrence, and Jennifer Dionne, “Broadband and wide-angle nonreciprocity with a non-hermitian metamaterial,” Phys. Rev. B 97
2018
Earlier work this paper cites.
Hengyun Zhou, Chao Peng, Yoseob Yoon, Chia Wei Hsu, Keith A. Nelson, Liang Fu, John D. Joannopoulos, Marin Soljačić, and Bo Zhen, “Observation of bulk fermi arc and polarization half charge from paired exceptional points,” Science 359
2018
Earlier work this paper cites.
Gal Harari, Miguel A. Bandres, Yaakov Lumer, Mikael C. Rechtsman, Y. D. Chong, Mercedeh Khajavikhan, Demetrios N. Christodoulides, and Mordechai Segev, “Topological insulator laser: Theory,” Science 359
2018
Earlier work this paper cites.
Miguel A. Bandres, Steffen Wittek, Gal Harari, Midya Parto, Jinhan Ren, Mordechai Segev, Demetrios N. Christodoulides, and Mercedeh Khajavikhan, “Topological insulator laser: Experiments,” Science 359
2018
Earlier work this paper cites.
Mingsen Pan, Han Zhao, Pei Miao, Stefano Longhi, and Liang Feng, “Photonic zero mode in a non-hermitian photonic lattice,” Nature Communications 9
2018
Earlier work this paper cites.
Ramy El-Ganainy, Konstantinos G. Makris, Mercedeh Khajavikhan, Ziad H. Musslimani, Stefan Rotter, and Demetrios N. Christodoulides, “Non-hermitian physics and pt symmetry,” Nature Physics 14
2018
Earlier work this paper cites.
V. M. Martinez Alvarez, J. E. Barrios Vargas, and L. E. F. Foa Torres, “Non-hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points,” Phys. Rev. B 97
2018
Earlier work this paper cites.
Huitao Shen, Bo Zhen, and Liang Fu, “Topological band theory for non-hermitian hamiltonians,” Phys. Rev. Lett. 120
2018
Earlier work this paper cites.
Shunyu Yao and Zhong Wang, “Edge states and topological invariants of non-hermitian systems,” Phys. Rev. Lett. 121
2018
Earlier work this paper cites.
Ye Xiong, “Why does bulk boundary correspondence fail in some non-hermitian topological models,” 2
2018
Earlier work this paper cites.
Kohei Kawabata, Ken Shiozaki, and Masahito Ueda, “Anomalous helical edge states in a non-hermitian chern insulator,” Phys. Rev. B 98
2018
Cited alongside, same era.
Zongping Gong, Yuto Ashida, Kohei Kawabata, Kazuaki Takasan, Sho Higashikawa, and Masahito Ueda, “Topological phases of non-hermitian systems,” Phys. Rev. X 8
2018
Cited alongside, same era.
Shunyu Yao, Fei Song, and Zhong Wang, “Non-hermitian chern bands,” Phys. Rev. Lett. 121
2018
Cited alongside, same era.
Flore K. Kunst, Elisabet Edvardsson, Jan Carl Budich, and Emil J. Bergholtz, “Biorthogonal bulk-boundary correspondence in non-hermitian systems,” Phys. Rev. Lett. 121
2018
Cited alongside, same era.
Simon Lieu, “Topological phases in the non-hermitian su-schrieffer-heeger model,” Phys. Rev. B 97
2018
Cited alongside, same era.
Yiling Song, Weiwei Liu, Lingzhi Zheng, Yicong Zhang, Bing Wang, and Peixiang Lu, “Two-dimensional non-hermitian skin effect in a synthetic photonic lattice,” Phys. Rev. Applied 14
2020
Later among the works it cites.
Lei Xiao, Tianshu Deng, Kunkun Wang, Gaoyan Zhu, Zhong Wang, Wei Yi, and Peng Xue, “Non-hermitian bulk–boundary correspondence in quantum dynamics,” Nature Physics 16
2020
Later among the works it cites.
Yifei Yi and Zhesen Yang, “Non-hermitian skin modes induced by on-site dissipations and chiral tunneling effect,” Phys. Rev. Lett. 125
2020
Later among the works it cites.
Tsuneya Yoshida, Tomonari Mizoguchi, and Yasuhiro Hatsugai, “Mirror skin effect and its electric circuit simulation,” Phys. Rev. Research 2
2020
Later among the works it cites.
Ryo Okugawa, Ryo Takahashi, and Kazuki Yokomizo, “Second-order topological non-hermitian skin effects,” Phys. Rev. B 102
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2018
Cited alongside, same era.
Martin Brandenbourger, Xander Locsin, Edan Lerner, and Corentin Coulais, “Non-reciprocal robotic metamaterials,” Nature Communications 10
2019
Cited alongside, same era.
Mohammad-Ali Miri and Andrea Alù, “Exceptional points in optics and photonics,” Science 363
2019
Cited alongside, same era.
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
2019
Cited alongside, same era.
Hengyun Zhou and Jong Yeon Lee, “Periodic table for topological bands with non-hermitian symmetries,” Phys. Rev. B 99
2019
Cited alongside, same era.
Kohei Kawabata, Ken Shiozaki, Masahito Ueda, and Masatoshi Sato, “Symmetry and topology in non-hermitian physics,” Phys. Rev. X 9
2019
Cited alongside, same era.
Ching Hua Lee, Linhu Li, and Jiangbin Gong, “Hybrid higher-order skin-topological modes in nonreciprocal systems,” Phys. Rev. Lett. 123
2019
Cited alongside, same era.
2020
Later among the works it cites.
Linhu Li, Ching Hua Lee, Sen Mu, and Jiangbin Gong, “Critical non-hermitian skin effect,” Nature Communications 11
2020
Later among the works it cites.
Eunwoo Lee, Hyunjik Lee, and Bohm-Jung Yang, “Many-body approach to non-hermitian physics in fermionic systems,” Phys. Rev. B 101
2020
Later among the works it cites.
Tao Liu, James Jun He, Tsuneya Yoshida, Ze-Liang Xiang, and Franco Nori, “Non-hermitian topological mott insulators in one-dimensional fermionic superlattices,” Phys. Rev. B 102
2020
Later among the works it cites.
Sen Mu, Ching Hua Lee, Linhu Li, and Jiangbin Gong, “Emergent fermi surface in a many-body non-hermitian fermionic chain,” Phys. Rev. B 102
2020
Later among the works it cites.
Zhihao Xu and Shu Chen, “Topological bose-mott insulators in one-dimensional non-hermitian superlattices,” Phys. Rev. B 102
2020
Later among the works it cites.
Zhesen Yang, Kai Zhang, Chen Fang, and Jiangping Hu, “Non-hermitian bulk-boundary correspondence and auxiliary generalized brillouin zone theory,” Phys. Rev. Lett. 125
2020
Later among the works it cites.
A. F. Tzortzakakis, K. G. Makris, and E. N. Economou, “Non-hermitian disorder in two-dimensional optical lattices,” Phys. Rev. B 101
2020
Later among the works it cites.
Yi Huang and B. I. Shklovskii, “Anderson transition in three-dimensional systems with non-hermitian disorder,” Phys. Rev. B 101
2020
Later among the works it cites.
J.W. Rao, Y.T. Zhao, Y.S. Gui, X.L. Fan, D.S. Xue, and C.-M. Hu, “Controlling microwaves in non-hermitian metamaterials,” Phys. Rev. Applied 15
2021
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Yangyang Chen, Xiaopeng Li, Colin Scheibner, Vincenzo Vitelli, and Guoliang Huang, “Realization of active metamaterials with odd micropolar elasticity,” Nature Communications 12
2021
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Heinrich-Gregor Zirnstein, Gil Refael, and Bernd Rosenow, “Bulk-boundary correspondence for non-hermitian hamiltonians via green functions,” Phys. Rev. Lett. 126
2021
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Shuo Liu, Ruiwen Shao, Shaojie Ma, Lei Zhang, Oubo You, Haotian Wu, Yuan Jiang Xiang, Tie Jun Cui, and Shuang Zhang, “Non-hermitian skin effect in a non-hermitian electrical circuit,” Research 2021
2021
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Yongxu Fu, Jihan Hu, and Shaolong Wan, “Non-hermitian second-order skin and topological modes,” Phys. Rev. B 103
2021
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Lucas S. Palacios, Serguei Tchoumakov, Maria Guix, Ignacio Pagonabarraga, Samuel Sánchez, and Adolfo G. Grushin, “Guided accumulation of active particles by topological design of a second-order skin effect,” Nature Communications 12
2021
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2021
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Kazuki Yokomizo and Shuichi Murakami, “Scaling rule for the critical non-hermitian skin effect,” Phys. Rev. B 104
2021
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2021
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Tsuneya Yoshida, “Real-space dynamical mean field theory study of non-hermitian skin effect for correlated systems: Analysis based on pseudospectrum,” Phys. Rev. B 103
2021
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Wenjie Xi, Zhi-Hao Zhang, Zheng-Cheng Gu, and Wei-Qiang Chen, “Classification of topological phases in one dimensional interacting non-hermitian systems and emergent unitarity,” Science Bulletin 66
2021
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2021
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Sebastian Weidemann, Mark Kremer, Stefano Longhi, and Alexander Szameit, “Coexistence of dynamical delocalization and spectral localization through stochastic dissipation,” Nature Photonics 15
2021
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Fredrik Johansson et al. , mpmath: a Python library for arbitrary-precision floating-point arithmetic (version 1.2.0) (2021), https://github.com/fredrik-johansson/mpmath
2021
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