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In the presence of non-Hermitian skin effect, non-Hermitian lattices generally have complex-valued eigenenergies under periodic boundary condition, but they can have non-Bloch PT symmetry and therefore completely real eigenenergies under open boundary condition.
1907
Earlier work this paper cites.
1909
Earlier work this paper cites.
1912
Earlier work this paper cites.
Carl M. Bender and Stefan Boettcher, “Real spectra in non-hermitian hamiltonians having pt symmetry,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
Carl M Bender, M V Berry, and Aikaterini Mandilara, “Generalized PT symmetry and real spectra,” Journal of Physics A: Mathematical and General 35
2002
Earlier work this paper cites.
2003
Earlier work this paper cites.
2006
Earlier work this paper cites.
Carl M Bender, “Making sense of non-hermitian hamiltonians,” Reports on Progress in Physics 70
2007
Earlier work this paper cites.
Ingrid Rotter, “A non-hermitian hamilton operator and the physics of open quantum systems,” Journal of Physics A: Mathematical and Theoretical 42
2009
Earlier work this paper cites.
2009
Earlier work this paper cites.
2009
Earlier work this paper cites.
Christian E Rüter, Konstantinos G Makris, Ramy El-Ganainy, Demetrios N Christodoulides, Mordechai Segev, and Detlef Kip, “Observation of parity–time symmetry in optics,” Nature physics 6
2010
Earlier work this paper cites.
Liang Feng, Maurice Ayache, Jingqing Huang, Ye-Long Xu, Ming-Hui Lu, Yan-Feng Chen, Yeshaiahu Fainman, and Axel Scherer, “Nonreciprocal light propagation in a silicon photonic circuit,” Science 333
2011
Earlier work this paper cites.
Zin Lin, Hamidreza Ramezani, Toni Eichelkraut, Tsampikos Kottos, Hui Cao, and Demetrios N. Christodoulides, “Unidirectional invisibility induced by 𝒫 𝒯 \mathcal{P}\mathcal{T} -symmetric periodic structures,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
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.
2012
Earlier work this paper cites.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
I. V. Barashenkov, L. Baker, and N. V. Alexeeva, “ 𝒫 𝒯 \mathcal{PT} -symmetry breaking in a necklace of coupled optical waveguides,” Phys. Rev. A 87
2013
Cited alongside, same era.
Liang Feng, Zi Jing Wong, Ren-Min Ma, Yuan Wang, and Xiang Zhang, “Single-mode laser by parity-time symmetry breaking,” Science 346
2014
Cited alongside, same era.
Ching Hua Lee and Ronny Thomale, “Anatomy of skin modes and topology in non-hermitian systems,” Phys. Rev. B 99
2019
Later among the works it cites.
Kazuki Yokomizo and Shuichi Murakami, “Non-bloch band theory of non-hermitian systems,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
Tian-Shu Deng and Wei Yi, “Non-bloch topological invariants in a non-hermitian domain wall system,” Phys. Rev. B 100
2019
Later among the works it cites.
Stefano Longhi, “Probing non-hermitian skin effect and non-bloch phase transitions,” Phys. Rev. Research 1
2019
Later among the works it cites.
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
Later among the works it cites.
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Hossein Hodaei, Mohammad-Ali Miri, Matthias Heinrich, Demetrios N Christodoulides, and Mercedeh Khajavikhan, “Parity-time–symmetric microring lasers,” Science 346
2014
Cited alongside, same era.
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
Cited alongside, same era.
Vladimir V. Konotop, Jianke Yang, and Dmitry A. Zezyulin, “Nonlinear waves in 𝒫 𝒯 \mathcal{PT} -symmetric systems,” Rev. Mod. Phys. 88
2016
Cited alongside, same era.
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
Cited alongside, same era.
Shunyu Yao and Zhong Wang, “Edge states and topological invariants of non-hermitian systems,” Phys. Rev. Lett. 121
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.
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
Cited alongside, same era.
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.
Kohei Kawabata, Nobuyuki Okuma, and Masatoshi Sato, “Non-bloch band theory of non-hermitian hamiltonians in the symplectic class,” Phys. Rev. B 101
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.
S. Longhi, “Non-bloch-band collapse and chiral zener tunneling,” Phys. Rev. Lett. 124
2020
Later among the works it cites.
Ching Hua Lee, Linhu Li, Ronny Thomale, and Jiangbin Gong, “Unraveling non-hermitian pumping: Emergent spectral singularities and anomalous responses,” Phys. Rev. B 102
2020
Later among the works it cites.
Chun-Hui Liu, Kai Zhang, Zhesen Yang, and Shu Chen, “Helical damping and dynamical critical skin effect in open quantum systems,” Phys. Rev. Research 2
2020
Later among the works it cites.
T Helbig, T Hofmann, S Imhof, M Abdelghany, T Kiessling, LW Molenkamp, CH Lee, A Szameit, M Greiter, and R Thomale, “Generalized bulk–boundary correspondence in non-hermitian topolectrical circuits,” Nature Physics 16
2020
Later among the works it cites.
Sebastian Weidemann, Mark Kremer, Tobias Helbig, Tobias Hofmann, Alexander Stegmaier, Martin Greiter, Ronny Thomale, and Alexander Szameit, “Topological funneling of light,” Science 368
2020
Later among the works it cites.
Tobias Hofmann, Tobias Helbig, Frank Schindler, Nora Salgo, Marta Brzezińska, Martin Greiter, Tobias Kiessling, David Wolf, Achim Vollhardt, Anton Kabaši, Ching Hua Lee, Ante Bilušić, Ronny Thomale, and Titus Neupert, “Reciprocal skin effect and its realization in a topolectrical circuit,” Phys. Rev. Research 2
2020
Later among the works it cites.
Ananya Ghatak, Martin Brandenbourger, Jasper van Wezel, and Corentin Coulais, “Observation of non-hermitian topology and its bulk–edge correspondence in an active mechanical metamaterial,” Proceedings of the National Academy of Sciences 117
2020
Later among the works it cites.
Kai Zhang, Zhesen Yang, and Chen Fang, “Correspondence between winding numbers and skin modes in non-hermitian systems,” Phys. Rev. Lett. 125
2020
Later among the works it cites.
Nobuyuki Okuma, Kohei Kawabata, Ken Shiozaki, and Masatoshi Sato, “Topological origin of non-hermitian skin effects,” Phys. Rev. Lett. 124
2020
Later among the works it cites.