Topological Band Theory for Non-Hermitian Hamiltonians

Shen, Huitao; Zhen, Bo; Fu, Liang

doi:10.1103/physrevlett.120.146402

Topological Band Theory for Non-Hermitian Hamiltonians

Journal Article · Fri Apr 06 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.120.146402· OSTI ID:1505749

Shen, Huitao ^[1]; Zhen, Bo ^[2]; Fu, Liang ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics; MIT
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics

We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of gapped band structures to the non-Hermitian case, we classify “gapped” bands in one and two dimensions by explicitly finding their topological invariants. We find nontrivial generalizations of the Chern number in two dimensions, and a new classification in one dimension, whose topology is determined by the energy dispersion rather than the energy eigenstates. We then study the bulk-edge correspondence and the topological phase transition in two dimensions. Different from the Hermitian case, the transition generically involves an extended intermediate phase with complex-energy band degeneracies at isolated “exceptional points” in momentum space. Lastly, we also systematically classify all types of band degeneracies.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); United States–Israel Binational Science Foundation (BSF); Army Research Office (ARO)

Grant/Contract Number:: SC0010526

OSTI ID:: 1505749

Alternate ID(s):: OSTI ID: 1432099

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 120; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (84)

Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters Mailybaev, Alexei A. Numerical Linear Algebra with Applications, Vol. 13, Issue 5 https://doi.org/10.1002/nla.471	journal	January 2006
Parity–time synthetic photonic lattices Regensburger, Alois; Bersch, Christoph; Miri, Mohammad-Ali Nature, Vol. 488, Issue 7410 https://doi.org/10.1038/nature11298	journal	August 2012
Parity-time-symmetric microring lasers Hodaei, H.; Miri, M. -A.; Heinrich, M. Science, Vol. 346, Issue 6212 https://doi.org/10.1126/science.1258480	journal	October 2014
Time reversal and exceptional points Harney, H. L.; Heiss, W. D. The European Physical Journal D - Atomic, Molecular and Optical Physics, Vol. 29, Issue 3 https://doi.org/10.1140/epjd/e2004-00049-7	journal	June 2004
Topological invariant and the quantization of the Hall conductance Kohmoto, Mahito Annals of Physics, Vol. 160, Issue 2 https://doi.org/10.1016/0003-4916(85)90148-4	journal	April 1985
Complex geometrical phases for dissipative systems Garrison, J. C.; Wright, E. M. Physics Letters A, Vol. 128, Issue 3-4 https://doi.org/10.1016/0375-9601(88)90905-X	journal	March 1988
Non-Hermitian Quantum Mechanics Moiseyev, Nimrod https://doi.org/10.1017/CBO9780511976186	book	May 2011
Physics of Nonhermitian Degeneracies Berry, M. V. Czechoslovak Journal of Physics, Vol. 54, Issue 10 https://doi.org/10.1023/B:CJOP.0000044002.05657.04	journal	October 2004
Spawning rings of exceptional points out of Dirac cones Zhen, Bo; Hsu, Chia Wei; Igarashi, Yuichi Nature, Vol. 525, Issue 7569 https://doi.org/10.1038/nature14889	journal	September 2015
Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard Gao, T.; Estrecho, E.; Bliokh, K. Y. Nature, Vol. 526, Issue 7574 https://doi.org/10.1038/nature15522	journal	October 2015
Topological energy transfer in an optomechanical system with exceptional points Xu, H.; Mason, D.; Jiang, Luyao Nature, Vol. 537, Issue 7618 https://doi.org/10.1038/nature18604	journal	July 2016
Dynamically encircling an exceptional point for asymmetric mode switching Doppler, Jörg; Mailybaev, Alexei A.; Böhm, Julian Nature, Vol. 537, Issue 7618 https://doi.org/10.1038/nature18605	journal	July 2016
Reversing the pump dependence of a laser at an exceptional point Brandstetter, M.; Liertzer, M.; Deutsch, C. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5034	journal	June 2014
Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies Feng, Liang; Xu, Ye-Long; Fegadolli, William S. Nature Materials, Vol. 12, Issue 2 https://doi.org/10.1038/nmat3495	journal	November 2012
Weyl points and line nodes in gyroid photonic crystals Lu, Ling; Fu, Liang; Joannopoulos, John D. Nature Photonics, Vol. 7, Issue 4 https://doi.org/10.1038/nphoton.2013.42	journal	March 2013
Parity–time symmetry and variable optical isolation in active–passive-coupled microresonators Chang, Long; Jiang, Xiaoshun; Hua, Shiyue Nature Photonics, Vol. 8, Issue 7 https://doi.org/10.1038/nphoton.2014.133	journal	June 2014
Observation of parity–time symmetry in optics Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy Nature Physics, Vol. 6, Issue 3 https://doi.org/10.1038/nphys1515	journal	January 2010
Topological boundary modes in isostatic lattices Kane, C. L.; Lubensky, T. C. Nature Physics, Vol. 10, Issue 1 https://doi.org/10.1038/nphys2835	journal	December 2013
Parity–time-symmetric whispering-gallery microcavities Peng, Bo; Özdemir, Şahin Kaya; Lei, Fuchuan Nature Physics, Vol. 10, Issue 5 https://doi.org/10.1038/nphys2927	journal	April 2014
Symmetry-protected topological photonic crystal in three dimensions Lu, Ling; Fang, Chen; Fu, Liang Nature Physics, Vol. 12, Issue 4 https://doi.org/10.1038/nphys3611	journal	January 2016
Majorana bound states from exceptional points in non-topological superconductors San-Jose, Pablo; Cayao, Jorge; Prada, Elsa Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep21427	journal	February 2016
Periodic table for topological insulators and superconductors Kitaev, Alexei; Lebedev, Vladimir; Feigel’man, Mikhail ADVANCES IN THEORETICAL PHYSICS: Landau Memorial Conference, AIP Conference Proceedings https://doi.org/10.1063/1.3149495	conference	January 2009
Helium in chirped laser fields as a time-asymmetric atomic switch Kaprálová-Žďánská, Petra Ruth; Moiseyev, Nimrod The Journal of Chemical Physics, Vol. 141, Issue 1 https://doi.org/10.1063/1.4885136	journal	July 2014
On the Completeness of the Eigenfunctions of some Classes of Non-Selfadjoint Linear Operators Keldysh, M. V. Russian Mathematical Surveys, Vol. 26, Issue 4 https://doi.org/10.1070/RM1971v026n04ABEH003985	journal	August 1971
Unfolding a diabolic point: a generalized crossing scenario Keck, F.; Korsch, H. J.; Mossmann, S. Journal of Physics A: Mathematical and General, Vol. 36, Issue 8 https://doi.org/10.1088/0305-4470/36/8/310	journal	February 2003
Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation Kirillov, O. N.; Mailybaev, A. A.; Seyranian, A. P. Journal of Physics A: Mathematical and General, Vol. 38, Issue 24 https://doi.org/10.1088/0305-4470/38/24/007	journal	June 2005
A non-Hermitian Hamilton operator and the physics of open quantum systems Rotter, Ingrid Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 15 https://doi.org/10.1088/1751-8113/42/15/153001	journal	March 2009
On the observability and asymmetry of adiabatic state flips generated by exceptional points Uzdin, Raam; Mailybaev, Alexei; Moiseyev, Nimrod Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 43 https://doi.org/10.1088/1751-8113/44/43/435302	journal	October 2011
Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon Berry, M. V.; Uzdin, R. Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 43 https://doi.org/10.1088/1751-8113/44/43/435303	journal	October 2011
The physics of exceptional points Heiss, W. D. Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 44 https://doi.org/10.1088/1751-8113/45/44/444016	journal	October 2012
Optical polarization evolution near a non-Hermitian degeneracy Berry, M. V. Journal of Optics, Vol. 13, Issue 11 https://doi.org/10.1088/2040-8978/13/11/115701	journal	October 2011
Quantal Phase Factors Accompanying Adiabatic Changes Berry, M. V. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802 https://doi.org/10.1098/rspa.1984.0023	journal	March 1984
Geometric phase around exceptional points Mailybaev, Alexei A.; Kirillov, Oleg N.; Seyranian, Alexander P. Physical Review A, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevA.72.014104	journal	July 2005
Topological invariance and global Berry phase in non-Hermitian systems Liang, Shi-Dong; Huang, Guang-Yao Physical Review A, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevA.87.012118	journal	January 2013
Time-asymmetric quantum-state-exchange mechanism Gilary, Ido; Mailybaev, Alexei A.; Moiseyev, Nimrod Physical Review A, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevA.88.010102	journal	July 2013
Breakdown of adiabatic transfer of light in waveguides in the presence of absorption Graefe, Eva-Maria; Mailybaev, Alexei A.; Moiseyev, Nimrod Physical Review A, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevA.88.033842	journal	September 2013
General description of quasiadiabatic dynamical phenomena near exceptional points Milburn, Thomas J.; Doppler, Jörg; Holmes, Catherine A. Physical Review A, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevA.92.052124	journal	November 2015
Topological invariants of time-reversal-invariant band structures Moore, J. E.; Balents, L. Physical Review B, Vol. 75, Issue 12, Article No. 121306(R) https://doi.org/10.1103/PhysRevB.75.121306	journal	March 2007
Topological insulators with inversion symmetry Fu, Liang; Kane, C. L. Physical Review B, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevB.76.045302	journal	July 2007
Classification of topological insulators and superconductors in three spatial dimensions Schnyder, Andreas P.; Ryu, Shinsei; Furusaki, Akira Physical Review B, Vol. 78, Issue 19 https://doi.org/10.1103/PhysRevB.78.195125	journal	November 2008
Edge states and topological phases in non-Hermitian systems Esaki, Kenta; Sato, Masatoshi; Hasebe, Kazuki Physical Review B, Vol. 84, Issue 20 https://doi.org/10.1103/PhysRevB.84.205128	journal	November 2011
Topological quantum wires with balanced gain and loss Menke, Henri; Hirschmann, Moritz M. Physical Review B, Vol. 95, Issue 17 https://doi.org/10.1103/PhysRevB.95.174506	journal	May 2017
Exceptional points in a non-Hermitian topological pump Hu, Wenchao; Wang, Hailong; Shum, Perry Ping Physical Review B, Vol. 95, Issue 18 https://doi.org/10.1103/PhysRevB.95.184306	journal	May 2017
Topological protection from exceptional points in Weyl and nodal-line semimetals González, J.; Molina, R. A. Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevB.96.045437	journal	July 2017
Encircling an exceptional point Dembowski, C.; Dietz, B.; Gräf, H. -D. Physical Review E, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevE.69.056216	journal	May 2004
Beam Dynamics in P T Symmetric Optical Lattices Makris, K. G.; El-Ganainy, R.; Christodoulides, D. N. Physical Review Letters, Vol. 100, Issue 10 https://doi.org/10.1103/PhysRevLett.100.103904	journal	March 2008
Visualization of Branch Points in P T -Symmetric Waveguides Klaiman, Shachar; Günther, Uwe; Moiseyev, Nimrod Physical Review Letters, Vol. 101, Issue 8 https://doi.org/10.1103/PhysRevLett.101.080402	journal	August 2008
Observation of P T -Symmetry Breaking in Complex Optical Potentials Guo, A.; Salamo, G. J.; Duchesne, D. Physical Review Letters, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevLett.103.093902	journal	August 2009
Bloch Oscillations in Complex Crystals with P T Symmetry Longhi, S. Physical Review Letters, Vol. 103, Issue 12 https://doi.org/10.1103/PhysRevLett.103.123601	journal	September 2009
Quasieigenstate Coalescence in an Atom-Cavity Quantum Composite Choi, Youngwoon; Kang, Sungsam; Lim, Sooin Physical Review Letters, Vol. 104, Issue 15 https://doi.org/10.1103/PhysRevLett.104.153601	journal	April 2010
Unidirectional Invisibility Induced by P T -Symmetric Periodic Structures Lin, Zin; Ramezani, Hamidreza; Eichelkraut, Toni Physical Review Letters, Vol. 106, Issue 21 https://doi.org/10.1103/PhysRevLett.106.213901	journal	May 2011
Pump-Induced Exceptional Points in Lasers Liertzer, M.; Ge, Li; Cerjan, A. Physical Review Letters, Vol. 108, Issue 17 https://doi.org/10.1103/PhysRevLett.108.173901	journal	April 2012
Anomalous Edge State in a Non-Hermitian Lattice Lee, Tony E. Physical Review Letters, Vol. 116, Issue 13 https://doi.org/10.1103/PhysRevLett.116.133903	journal	April 2016
Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems Leykam, Daniel; Bliokh, Konstantin Y.; Huang, Chunli Physical Review Letters, Vol. 118, Issue 4 https://doi.org/10.1103/PhysRevLett.118.040401	journal	January 2017
Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas Xu, Yong; Wang, Sheng-Tao; Duan, L. -M. Physical Review Letters, Vol. 118, Issue 4 https://doi.org/10.1103/PhysRevLett.118.045701	journal	January 2017
Dynamically Encircling Exceptional Points: Exact Evolution and Polarization State Conversion Hassan, Absar U.; Zhen, Bo; Soljačić, Marin Physical Review Letters, Vol. 118, Issue 9 https://doi.org/10.1103/PhysRevLett.118.093002	journal	March 2017
Quantized Hall Conductance in a Two-Dimensional Periodic Potential Thouless, D. J.; Kohmoto, M.; Nightingale, M. P. Physical Review Letters, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevLett.49.405	journal	August 1982
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Bender, Carl M.; Boettcher, Stefan Physical Review Letters, Vol. 80, Issue 24 https://doi.org/10.1103/PhysRevLett.80.5243	journal	June 1998
Experimental Observation of the Topological Structure of Exceptional Points Dembowski, C.; Gräf, H. -D.; Harney, H. L. Physical Review Letters, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevLett.86.787	journal	January 2001
Z2 Topological Order and the Quantum Spin Hall Effect Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 14, Article No. 146802 https://doi.org/10.1103/PhysRevLett.95.146802	journal	September 2005
Topological Insulators in Three Dimensions Fu, Liang; Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 98, Issue 10, Article No. 106803 https://doi.org/10.1103/PhysRevLett.98.106803	journal	March 2007
Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics Cao, Hui; Wiersig, Jan Reviews of Modern Physics, Vol. 87, Issue 1 https://doi.org/10.1103/RevModPhys.87.61	journal	January 2015
Colloquium : Topological band theory Bansil, A.; Lin, Hsin; Das, Tanmoy Reviews of Modern Physics, Vol. 88, Issue 2 https://doi.org/10.1103/RevModPhys.88.021004	journal	June 2016
Classification of topological quantum matter with symmetries Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P. Reviews of Modern Physics, Vol. 88, Issue 3 https://doi.org/10.1103/RevModPhys.88.035005	journal	August 2016
Weyl and Dirac semimetals in three-dimensional solids Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin Reviews of Modern Physics, Vol. 90, Issue 1 https://doi.org/10.1103/RevModPhys.90.015001	journal	January 2018
Loss-induced suppression and revival of lasing Peng, B.; Ozdemir, . K.; Rotter, S. Science, Vol. 346, Issue 6207 https://doi.org/10.1126/science.1258004	journal	October 2014
Single-mode laser by parity-time symmetry breaking Feng, L.; Wong, Z. J.; Ma, R. -M. Science, Vol. 346, Issue 6212 https://doi.org/10.1126/science.1258479	journal	October 2014
Observation of phononic helical edge states in a mechanical topological insulator Süsstrunk, Roman; Huber, Sebastian D. Science, Vol. 349, Issue 6243 https://doi.org/10.1126/science.aab0239	journal	July 2015
Spawning Rings of Exceptional Points out of Dirac Cones Zhen, Bo; Hsu, Chia Wei; Igarashi, Yuichi CLEO: QELS_Fundamental Science, Conference on Lasers and Electro-Optics https://doi.org/10.1364/cleo_qels.2016.ff2b.2	conference	January 2016
Spawning Rings of Exceptional Points out of Dirac Cones Zhen, Bo; Hsu, Chia Wei; Igarashi, Yuichi Laser Science, Frontiers in Optics 2015 https://doi.org/10.1364/ls.2015.lm1h.1	conference	January 2015
Experimental Observation of the Topological Structure of Exceptional Points Dembowski, C.; Gräf, H. -D.; Harney, H. L. The American Physical Society https://doi.org/10.17877/de290r-12147	text	January 2001
Visualization of Branch Points in PT-Symmetric Waveguides Klaiman, Shachar; Moiseyev, Nimrod; Gunther, Uwe arXiv https://doi.org/10.48550/arxiv.0802.2457	text	January 2008
Edge states and topological phases in non-Hermitian systems Esaki, Kenta; Sato, Masatoshi; Hasebe, Kazuki arXiv https://doi.org/10.48550/arxiv.1107.2079	text	January 2011
Pump-induced Exceptional Points in Lasers Liertzer, M.; Ge, Li; Cerjan, A. arXiv https://doi.org/10.48550/arxiv.1109.0454	text	January 2011
Breakdown of adiabatic transfer of light in waveguides in the presence of absorption Graefe, Eva-Maria; Mailybaev, Alexei A.; Moiseyev, Nimrod arXiv https://doi.org/10.48550/arxiv.1207.5235	text	January 2012
The physics of exceptional points Heiss, W. D. arXiv https://doi.org/10.48550/arxiv.1210.7536	text	January 2012
Topological invariance and global Berry phase in non-Hermitian systems Liang, Shi-Dong; Huang, Guang-Yao arXiv https://doi.org/10.48550/arxiv.1502.00443	text	January 2015
Classification of topological quantum matter with symmetries Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P. arXiv https://doi.org/10.48550/arxiv.1505.03535	text	January 2015
Anomalous edge state in a non-Hermitian lattice Lee, Tony E. arXiv https://doi.org/10.48550/arxiv.1603.05312	text	January 2016
Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems Leykam, Daniel; Bliokh, Konstantin Y.; Huang, Chunli arXiv https://doi.org/10.48550/arxiv.1610.04029	text	January 2016
Topological quantum wires with balanced gain and loss Menke, Henri; Hirschmann, Moritz M. arXiv https://doi.org/10.48550/arxiv.1701.09009	text	January 2017
Weyl and Dirac Semimetals in Three Dimensional Solids Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin arXiv https://doi.org/10.48550/arxiv.1705.01111	text	January 2017
Topological invariants of time-reversal-invariant band structures Moore, J. E.; Balents, L. arXiv https://doi.org/10.48550/arxiv.cond-mat/0607314	text	January 2006
Topological Insulators in Three Dimensions Fu, Liang; Kane, C. L.; Mele, E. J. arXiv https://doi.org/10.48550/arxiv.cond-mat/0607699	text	January 2006

Cited By (168)

Topological photonics Lu, Ling; Joannopoulos, John D.; Soljačić, Marin Nature Photonics, Vol. 8, Issue 11 https://doi.org/10.1038/nphoton.2014.248	journal	October 2014
Photonic topological fermi nodal disk in non-Hermitian magnetic plasma Wang, Wenhui; Gao, Wenlong; Cao, Leifeng Light: Science & Applications, Vol. 9, Issue 1 https://doi.org/10.1038/s41377-020-0274-3	journal	March 2020
Topological kink plasmons on magnetic-domain boundaries Jin, Dafei; Xia, Yang; Christensen, Thomas Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-12092-x	journal	October 2019
Experimental realization of a Weyl exceptional ring Cerjan, Alexander; Huang, Sheng; Wang, Mohan Nature Photonics, Vol. 13, Issue 9 https://doi.org/10.1038/s41566-019-0453-z	journal	June 2019
Topological skyrmion phases of matter Cook, Ashley M. Journal of Physics: Condensed Matter, Vol. 35, Issue 18 https://doi.org/10.1088/1361-648x/acbffd	journal	March 2023
Topological characterization of non-Hermitian multiband systems using Majorana's stellar representation Teo, Wei Xin; Li, Linhu; Zhang, Xizheng Physical Review B, Vol. 101, Issue 20 https://doi.org/10.1103/physrevb.101.205309	journal	May 2020
Non-Hermitian second-order skin and topological modes Fu, Yongxu; Hu, Jihan; Wan, Shaolong Physical Review B, Vol. 103, Issue 4 https://doi.org/10.1103/physrevb.103.045420	journal	January 2021
Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges Cerjan, Alexander; Xiao, Meng; Yuan, Luqi Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/physrevb.97.075128	journal	February 2018
Dynamic winding number for exploring band topology Zhu, Bo; Ke, Yongguan; Zhong, Honghua Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/physrevresearch.2.023043	journal	April 2020
Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing Shtanko, Oles; Deshpande, Abhinav; Julienne, Paul S. PRX Quantum, Vol. 2, Issue 3 https://doi.org/10.1103/prxquantum.2.030350	journal	September 2021
Quantized Angular Momentum in Topological Optical Systems Silveirinha, Mário G. arXiv https://doi.org/10.48550/arxiv.1803.07121	text	January 2018
Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics Kawabata, Kohei; Higashikawa, Sho; Gong, Zongping arXiv https://doi.org/10.48550/arxiv.1804.04676	text	January 2018
Topological transport in the steady state of a quantum particle with dissipation Kastoryano, Michael J.; Rudner, Mark S. arXiv https://doi.org/10.48550/arxiv.1808.06963	text	January 2018
Relation between exceptional points and the Kondo effect in $f$-electron materials Michishita, Yoshihiro; Yoshida, Tsuneya; Peters, Robert arXiv https://doi.org/10.48550/arxiv.1905.12287	text	January 2019
Exceptional points and the topology of quantum many-body spectra Luitz, David J.; Piazza, Francesco arXiv https://doi.org/10.48550/arxiv.1906.02224	text	January 2019
Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System Cao, Yang; Li, Yang; Yang, Xiaosen arXiv https://doi.org/10.48550/arxiv.2007.13499	text	January 2020
Non-Hermitian topology in molecules: Prediction of fractional quantum number Li, J. arXiv https://doi.org/10.48550/arxiv.2010.01445	preprint	January 2020
Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems Pan, Jian-Song; Li, Linhu; Gong, Jiangbin arXiv https://doi.org/10.48550/arxiv.2010.14862	text	January 2020
Interaction induced bi-skin effect in an exciton-polariton system Xu, Xingran; Xu, Huawen; Mandal, S. arXiv https://doi.org/10.48550/arxiv.2102.13285	text	January 2021
Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media Gupta, Samit Kumar; Zou, Yi; Zhu, Xue‐Yi Advanced Materials https://doi.org/10.1002/adma.201903639	journal	December 2019
Quantum Probing Topological Phase Transitions by Non‐Markovianity Giorgi, Gian Luca; Longhi, Stefano; Cabot, Albert Annalen der Physik, Vol. 531, Issue 12 https://doi.org/10.1002/andp.201900307	journal	October 2019
Tutorial: Computing Topological Invariants in 2D Photonic Crystals Blanco de Paz, María; Devescovi, Chiara; Giedke, Geza Advanced Quantum Technologies, Vol. 3, Issue 2 https://doi.org/10.1002/qute.201900117	journal	October 2019
Topological gapless matters in three-dimensional ultracold atomic gases Xu, Yong Frontiers of Physics, Vol. 14, Issue 4 https://doi.org/10.1007/s11467-019-0896-1	journal	April 2019
Topological photonic crystals: a review Wang, Hongfei; Gupta, Samit Kumar; Xie, Biye Frontiers of Optoelectronics, Vol. 13, Issue 1 https://doi.org/10.1007/s12200-019-0949-7	journal	January 2020
Quantized angular momentum in topological optical systems Silveirinha, Mário G. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-018-08215-5	journal	January 2019
Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics Kawabata, Kohei; Higashikawa, Sho; Gong, Zongping Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-018-08254-y	journal	January 2019
Non-Hermitian bulk–boundary correspondence in quantum dynamics Xiao, Lei; Deng, Tianshu; Wang, Kunkun Nature Physics, Vol. 16, Issue 7 https://doi.org/10.1038/s41567-020-0836-6	journal	March 2020
Non-Hermitian fractional quantum Hall states Yoshida, Tsuneya; Kudo, Koji; Hatsugai, Yasuhiro Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-53253-8	journal	November 2019
Non-hermitian topology as a unifying framework for the Andreev versus Majorana states controversy Avila, J.; Peñaranda, F.; Prada, E. Communications Physics, Vol. 2, Issue 1 https://doi.org/10.1038/s42005-019-0231-8	journal	October 2019
Topologically induced transparency in a two-phase metamaterial Latioui, Hafssaa; Silveirinha, Mário G. Applied Physics Letters, Vol. 113, Issue 13 https://doi.org/10.1063/1.5042577	journal	September 2018
A perspective on topological nanophotonics: Current status and future challenges Rider, Marie S.; Palmer, Samuel J.; Pocock, Simon R. Journal of Applied Physics, Vol. 125, Issue 12 https://doi.org/10.1063/1.5086433	journal	March 2019
Transport gap in SmB ₆ protected against disorder Eo, Yun Suk; Rakoski, Alexa; Lucien, Juniar Proceedings of the National Academy of Sciences, Vol. 116, Issue 26 https://doi.org/10.1073/pnas.1901245116	journal	June 2019
New topological invariants in non-Hermitian systems Ghatak, Ananya; Das, Tanmoy Journal of Physics: Condensed Matter, Vol. 31, Issue 26 https://doi.org/10.1088/1361-648x/ab11b3	journal	April 2019
Engineering tunable local loss in a synthetic lattice of momentum states Lapp, Samantha; Ang’ong’a, Jackson; An, Fangzhao Alex New Journal of Physics, Vol. 21, Issue 4 https://doi.org/10.1088/1367-2630/ab1147	journal	April 2019
Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system Chen, Chong; Jin, Liang; Liu, Ren-Bao New Journal of Physics, Vol. 21, Issue 8 https://doi.org/10.1088/1367-2630/ab32ab	journal	August 2019
Monopoles in non-Hermitian systems Zhang, Qi; Wu, Biao Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 6 https://doi.org/10.1088/1751-8121/ab5cf7	journal	January 2020
Perspective on topological states of non-Hermitian lattices Foa Torres, Luis E. F. Journal of Physics: Materials, Vol. 3, Issue 1 https://doi.org/10.1088/2515-7639/ab4092	journal	November 2019
Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems Kunst, Flore K.; Edvardsson, Elisabet; Budich, Jan Carl Physical Review Letters, Vol. 121, Issue 2 https://doi.org/10.1103/PhysRevLett.121.026808	journal	July 2018
Edge States and Topological Invariants of Non-Hermitian Systems Yao, Shunyu; Wang, Zhong Physical Review Letters, Vol. 121, Issue 8 https://doi.org/10.1103/PhysRevLett.121.086803	journal	August 2018
Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics Lee, Jong Yeon; Ahn, Junyeong; Zhou, Hengyun Physical Review Letters, Vol. 123, Issue 20 https://doi.org/10.1103/PhysRevLett.123.206404	journal	November 2019
Topological states in a non-Hermitian two-dimensional Su-Schrieffer-Heeger model Yuce, C.; Ramezani, H. Physical Review A, Vol. 100, Issue 3 https://doi.org/10.1103/physreva.100.032102	journal	September 2019
Landau-Zener-Stückelberg interferometry in PT -symmetric non-Hermitian models Shen, Xin; Wang, Fudong; Li, Zhi Physical Review A, Vol. 100, Issue 6 https://doi.org/10.1103/physreva.100.062514	journal	December 2019
Fate of zero modes in a finite Su-Schrieffer-Heeger model with PT symmetry Xu, Zhihao; Zhang, Rong; Chen, Shu Physical Review A, Vol. 101, Issue 1 https://doi.org/10.1103/physreva.101.013635	journal	January 2020
Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems Yin, Chuanhao; Jiang, Hui; Li, Linhu Physical Review A, Vol. 97, Issue 5 https://doi.org/10.1103/physreva.97.052115	journal	May 2018
Dynamical quantum phase transitions in non-Hermitian lattices Zhou, Longwen; Wang, Qing-hai; Wang, Hailong Physical Review A, Vol. 98, Issue 2 https://doi.org/10.1103/physreva.98.022129	journal	August 2018
Topological photonic states in one-dimensional dimerized ultracold atomic chains Wang, B. X.; Zhao, C. Y. Physical Review A, Vol. 98, Issue 2 https://doi.org/10.1103/physreva.98.023808	journal	August 2018
Bulk and edge-state arcs in non-Hermitian coupled-resonator arrays Malzard, Simon; Schomerus, Henning Physical Review A, Vol. 98, Issue 3 https://doi.org/10.1103/physreva.98.033807	journal	September 2018
Exceptional links and twisted Fermi ribbons in non-Hermitian systems Carlström, Johan; Bergholtz, Emil J. Physical Review A, Vol. 98, Issue 4 https://doi.org/10.1103/physreva.98.042114	journal	October 2018
Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry Jiang, Hui; Yang, Chao; Chen, Shu Physical Review A, Vol. 98, Issue 5 https://doi.org/10.1103/physreva.98.052116	journal	November 2018
Partial topological Zak phase and dynamical confinement in a non-Hermitian bipartite system Zhang, X. Z.; Song, Z. Physical Review A, Vol. 99, Issue 1 https://doi.org/10.1103/physreva.99.012113	journal	January 2019
Quantum geometric tensor in PT -symmetric quantum mechanics Zhang, Da-Jian; Wang, Qing-hai; Gong, Jiangbin Physical Review A, Vol. 99, Issue 4 https://doi.org/10.1103/physreva.99.042104	journal	April 2019
Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition Herviou, Loïc; Bardarson, Jens H.; Regnault, Nicolas Physical Review A, Vol. 99, Issue 5 https://doi.org/10.1103/physreva.99.052118	journal	May 2019
Symmetry-protected localized states at defects in non-Hermitian systems Wu, Ya-Jie; Hou, Junpeng Physical Review A, Vol. 99, Issue 6 https://doi.org/10.1103/physreva.99.062107	journal	June 2019
Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling Wang, P.; Jin, L.; Song, Z. Physical Review A, Vol. 99, Issue 6 https://doi.org/10.1103/physreva.99.062112	journal	June 2019
Angle-Resolved Thermal Emission Spectroscopy Characterization of Non-Hermitian Metacrystals Zhong, Fan; Ding, Kun; Zhang, Ye Physical Review Applied, Vol. 13, Issue 1 https://doi.org/10.1103/physrevapplied.13.014071	journal	January 2020
Topological phase transition independent of system non-Hermiticity Zhang, K. L.; Wu, H. C.; Jin, L. Physical Review B, Vol. 100, Issue 4 https://doi.org/10.1103/physrevb.100.045141	journal	July 2019
Topological phases and nonreciprocal edge states in non-Hermitian Floquet insulators Li, Mengyao; Ni, Xiang; Weiner, Matthew Physical Review B, Vol. 100, Issue 4 https://doi.org/10.1103/physrevb.100.045423	journal	July 2019
Topological band theory for non-Hermitian systems from the Dirac equation Ge, Zi-Yong; Zhang, Yu-Ran; Liu, Tao Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/physrevb.100.054105	journal	August 2019
Exceptional rings protected by emergent symmetry for mechanical systems Yoshida, Tsuneya; Hatsugai, Yasuhiro Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/physrevb.100.054109	journal	August 2019
Interplay of non-Hermitian skin effects and Anderson localization in nonreciprocal quasiperiodic lattices Jiang, Hui; Lang, Li-Jun; Yang, Chao Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/physrevb.100.054301	journal	August 2019
Geometric characterization of non-Hermitian topological systems through the singularity ring in pseudospin vector space Li, Linhu; Lee, Ching Hua; Gong, Jiangbin Physical Review B, Vol. 100, Issue 7 https://doi.org/10.1103/physrevb.100.075403	journal	August 2019
Electric circuit simulations of n th -Chern-number insulators in 2 n -dimensional space and their non-Hermitian generalizations for arbitrary n Ezawa, Motohiko Physical Review B, Vol. 100, Issue 7 https://doi.org/10.1103/physrevb.100.075423	journal	August 2019
Topology and observables of the non-Hermitian Chern insulator Hirsbrunner, Mark R.; Philip, Timothy M.; Gilbert, Matthew J. Physical Review B, Vol. 100, Issue 8 https://doi.org/10.1103/physrevb.100.081104	journal	August 2019
Electric circuits for non-Hermitian Chern insulators Ezawa, Motohiko Physical Review B, Vol. 100, Issue 8 https://doi.org/10.1103/physrevb.100.081401	journal	August 2019
Non-Hermitian topology of spontaneous magnon decay McClarty, Paul A.; Rau, Jeffrey G. Physical Review B, Vol. 100, Issue 10 https://doi.org/10.1103/physrevb.100.100405	journal	September 2019
Chiral-symmetry protected exceptional torus in correlated nodal-line semimetals Kimura, Kazuhiro; Yoshida, Tsuneya; Kawakami, Norio Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/physrevb.100.115124	journal	September 2019
Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions Zhao, Peng-Lu; Wang, An-Min Physical Review B, Vol. 100, Issue 12 https://doi.org/10.1103/physrevb.100.125138	journal	September 2019
Inversion symmetric non-Hermitian Chern insulator Wu, H. C.; Jin, L.; Song, Z. Physical Review B, Vol. 100, Issue 15 https://doi.org/10.1103/physrevb.100.155117	journal	October 2019
Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems Brzezicki, Wojciech; Hyart, Timo Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/physrevb.100.161105	journal	October 2019
Exceptional concentric rings in a non-Hermitian bilayer photonic system Wang, Hongfei; Xie, Biye; Gupta, Samit Kumar Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/physrevb.100.165134	journal	October 2019
Generalized bulk-edge correspondence for non-Hermitian topological systems Imura, Ken-Ichiro; Takane, Yositake Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/physrevb.100.165430	journal	October 2019
Dynamical characterization of non-Hermitian Floquet topological phases in one dimension Zhou, Longwen Physical Review B, Vol. 100, Issue 18 https://doi.org/10.1103/physrevb.100.184314	journal	November 2019
PT -symmetric non-Hermitian Dirac semimetals Rui, W. B.; Hirschmann, Moritz M.; Schnyder, Andreas P. Physical Review B, Vol. 100, Issue 24 https://doi.org/10.1103/physrevb.100.245116	journal	December 2019
Photonic emulation of two-dimensional materials with antiferromagnetic order Gladstone, Ran Gladstein; Jung, Minwoo; Han, Yuchen Physical Review B, Vol. 100, Issue 24 https://doi.org/10.1103/physrevb.100.245417	journal	December 2019
Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes Zhou, Longwen Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/physrevb.101.014306	journal	January 2020
Topological phases in non-Hermitian Aubry-André-Harper models Zeng, Qi-Bo; Yang, Yan-Bin; Xu, Yong Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/physrevb.101.020201	journal	January 2020
Topological classification of molecules and chemical reactions with a perplectic structure Muechler, Lukas Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/physrevb.101.045123	journal	January 2020
Hybrid exceptional point created from type-III Dirac point Jin, L.; Wu, H. C.; Wei, Bo-Bo Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/physrevb.101.045130	journal	January 2020
Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect Zhang, Xizheng; Gong, Jiangbin Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/physrevb.101.045415	journal	January 2020
Measuring the quantum geometric tensor in two-dimensional photonic and exciton-polariton systems Bleu, O.; Solnyshkov, D. D.; Malpuech, G. Physical Review B, Vol. 97, Issue 19 https://doi.org/10.1103/physrevb.97.195422	journal	May 2018
Non-Hermitian perspective of the band structure in heavy-fermion systems Yoshida, Tsuneya; Peters, Robert; Kawakami, Norio Physical Review B, Vol. 98, Issue 3 https://doi.org/10.1103/physrevb.98.035141	journal	July 2018
Robust edge states induced by electron-phonon interaction in graphene nanoribbons Calvo, Hernán L.; Luna, Javier S.; Dal Lago, Virginia Physical Review B, Vol. 98, Issue 3 https://doi.org/10.1103/physrevb.98.035423	journal	July 2018
Parity-time-symmetric topological superconductor Kawabata, Kohei; Ashida, Yuto; Katsura, Hosho Physical Review B, Vol. 98, Issue 8 https://doi.org/10.1103/physrevb.98.085116	journal	August 2018
Effects of non-Hermiticity on Su-Schrieffer-Heeger defect states Lang, Li-Jun; Wang, You; Wang, Hailong Physical Review B, Vol. 98, Issue 9 https://doi.org/10.1103/physrevb.98.094307	journal	September 2018
Loss of Hall conductivity quantization in a non-Hermitian quantum anomalous Hall insulator Philip, Timothy M.; Hirsbrunner, Mark R.; Gilbert, Matthew J. Physical Review B, Vol. 98, Issue 15 https://doi.org/10.1103/physrevb.98.155430	journal	October 2018
PT phase transitions of edge states at PT symmetric interfaces in non-Hermitian topological insulators Ni, Xiang; Smirnova, Daria; Poddubny, Alexander Physical Review B, Vol. 98, Issue 16 https://doi.org/10.1103/physrevb.98.165129	journal	October 2018
Anomalous helical edge states in a non-Hermitian Chern insulator Kawabata, Kohei; Shiozaki, Ken; Ueda, Masahito Physical Review B, Vol. 98, Issue 16 https://doi.org/10.1103/physrevb.98.165148	journal	October 2018
Topological phonon polaritons in one-dimensional non-Hermitian silicon carbide nanoparticle chains Wang, B. X.; Zhao, C. Y. Physical Review B, Vol. 98, Issue 16 https://doi.org/10.1103/physrevb.98.165435	journal	October 2018
Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states Zhou, Longwen; Gong, Jiangbin Physical Review B, Vol. 98, Issue 20 https://doi.org/10.1103/physrevb.98.205417	journal	November 2018
Hall conductance of a non-Hermitian Chern insulator Chen, Yu; Zhai, Hui Physical Review B, Vol. 98, Issue 24 https://doi.org/10.1103/physrevb.98.245130	journal	December 2018
Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals Moors, Kristof; Zyuzin, Alexander A.; Zyuzin, Alexander Yu. Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/physrevb.99.041116	journal	January 2019
Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries Okugawa, Ryo; Yokoyama, Takehito Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/physrevb.99.041202	journal	January 2019
Symmetry-protected nodal phases in non-Hermitian systems Budich, Jan Carl; Carlström, Johan; Kunst, Flore K. Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/physrevb.99.041406	journal	January 2019
Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence Wang, Huaiqiang; Ruan, Jiawei; Zhang, Haijun Physical Review B, Vol. 99, Issue 7 https://doi.org/10.1103/physrevb.99.075130	journal	February 2019
Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides Li, Ying; Argyropoulos, Christos Physical Review B, Vol. 99, Issue 7 https://doi.org/10.1103/physrevb.99.075413	journal	February 2019
Non-Hermitian Hopf-link exceptional line semimetals Yang, Zhesen; Hu, Jiangping Physical Review B, Vol. 99, Issue 8 https://doi.org/10.1103/physrevb.99.081102	journal	February 2019
Bulk-boundary correspondence in a non-Hermitian system in one dimension with chiral inversion symmetry Jin, L.; Song, Z. Physical Review B, Vol. 99, Issue 8 https://doi.org/10.1103/physrevb.99.081103	journal	February 2019
Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry Yoshida, Tsuneya; Peters, Robert; Kawakami, Norio Physical Review B, Vol. 99, Issue 12 https://doi.org/10.1103/physrevb.99.121101	journal	March 2019
Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits Ezawa, Motohiko Physical Review B, Vol. 99, Issue 12 https://doi.org/10.1103/physrevb.99.121411	journal	March 2019
Topological classification of non-Hermitian systems with reflection symmetry Liu, Chun-Hui; Jiang, Hui; Chen, Shu Physical Review B, Vol. 99, Issue 12 https://doi.org/10.1103/physrevb.99.125103	journal	March 2019
Topological theory of non-Hermitian photonic systems Silveirinha, Mário G. Physical Review B, Vol. 99, Issue 12 https://doi.org/10.1103/physrevb.99.125155	journal	March 2019
Finite-size effects in non-Hermitian topological systems Chen, Rui; Chen, Chui-Zhen; Zhou, Bin Physical Review B, Vol. 99, Issue 15 https://doi.org/10.1103/physrevb.99.155431	journal	April 2019
Knotted non-Hermitian metals Carlström, Johan; Stålhammar, Marcus; Budich, Jan Carl Physical Review B, Vol. 99, Issue 16 https://doi.org/10.1103/physrevb.99.161115	journal	April 2019
Symmetry protected topological phases characterized by isolated exceptional points Lin, S.; Jin, L.; Song, Z. Physical Review B, Vol. 99, Issue 16 https://doi.org/10.1103/physrevb.99.165148	journal	April 2019
Anatomy of skin modes and topology in non-Hermitian systems Lee, Ching Hua; Thomale, Ronny Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/physrevb.99.201103	journal	May 2019
Nodal arc of disordered Dirac fermions and non-Hermitian band theory Papaj, Michał; Isobe, Hiroki; Fu, Liang Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/physrevb.99.201107	journal	May 2019
Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization Ezawa, Motohiko Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/physrevb.99.201411	journal	May 2019
Periodic table for topological bands with non-Hermitian symmetries Zhou, Hengyun; Lee, Jong Yeon Physical Review B, Vol. 99, Issue 23 https://doi.org/10.1103/physrevb.99.235112	journal	June 2019
Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations Rui, W. B.; Zhao, Y. X.; Schnyder, Andreas P. Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.241110	journal	June 2019
Anisotropic exceptional points of arbitrary order Xiao, Yi-Xin; Zhang, Zhao-Qing; Hang, Zhi Hong Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.241403	journal	June 2019
Non-Hermitian systems and topology: A transfer-matrix perspective Kunst, Flore K.; Dwivedi, Vatsal Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.245116	journal	June 2019
Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem Shen, Huitao; Fu, Liang Physical Review Letters, Vol. 121, Issue 2 https://doi.org/10.1103/physrevlett.121.026403	journal	July 2018
Experimental Demonstration of an Anisotropic Exceptional Point Ding, Kun; Ma, Guancong; Zhang, Z. Q. Physical Review Letters, Vol. 121, Issue 8 https://doi.org/10.1103/physrevlett.121.085702	journal	August 2018
Non-Hermitian Chern Bands Yao, Shunyu; Song, Fei; Wang, Zhong Physical Review Letters, Vol. 121, Issue 13 https://doi.org/10.1103/physrevlett.121.136802	journal	September 2018
Non-Hermitian Kondo Effect in Ultracold Alkaline-Earth Atoms Nakagawa, Masaya; Kawakami, Norio; Ueda, Masahito Physical Review Letters, Vol. 121, Issue 20 https://doi.org/10.1103/physrevlett.121.203001	journal	November 2018
Second-Order Topological Phases in Non-Hermitian Systems Liu, Tao; Zhang, Yu-Ran; Ai, Qing Physical Review Letters, Vol. 122, Issue 7 https://doi.org/10.1103/physrevlett.122.076801	journal	February 2019
Topological Phase Transition in non-Hermitian Quasicrystals Longhi, S. Physical Review Letters, Vol. 122, Issue 23 https://doi.org/10.1103/physrevlett.122.237601	journal	June 2019
Non-Bloch Band Theory of Non-Hermitian Systems Yokomizo, Kazuki; Murakami, Shuichi Physical Review Letters, Vol. 123, Issue 6 https://doi.org/10.1103/physrevlett.123.066404	journal	August 2019
Classification of Exceptional Points and Non-Hermitian Topological Semimetals Kawabata, Kohei; Bessho, Takumi; Sato, Masatoshi Physical Review Letters, Vol. 123, Issue 6 https://doi.org/10.1103/physrevlett.123.066405	journal	August 2019
Higher-Order Topological Corner States Induced by Gain and Loss Luo, Xi-Wang; Zhang, Chuanwei Physical Review Letters, Vol. 123, Issue 7 https://doi.org/10.1103/physrevlett.123.073601	journal	August 2019
Topological Phase Transition Driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics Okuma, Nobuyuki; Sato, Masatoshi Physical Review Letters, Vol. 123, Issue 9 https://doi.org/10.1103/physrevlett.123.097701	journal	August 2019
Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction Yamamoto, Kazuki; Nakagawa, Masaya; Adachi, Kyosuke Physical Review Letters, Vol. 123, Issue 12 https://doi.org/10.1103/physrevlett.123.123601	journal	September 2019
Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems Song, Fei; Yao, Shunyu; Wang, Zhong Physical Review Letters, Vol. 123, Issue 17 https://doi.org/10.1103/physrevlett.123.170401	journal	October 2019
Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators Höckendorf, Bastian; Alvermann, Andreas; Fehske, Holger Physical Review Letters, Vol. 123, Issue 19 https://doi.org/10.1103/physrevlett.123.190403	journal	November 2019
Non-Hermitian Topological Invariants in Real Space Song, Fei; Yao, Shunyu; Wang, Zhong Physical Review Letters, Vol. 123, Issue 24 https://doi.org/10.1103/physrevlett.123.246801	journal	December 2019
Non-Hermitian Exceptional Landau Quantization in Electric Circuits Zhang, Xiao-Xiao; Franz, Marcel Physical Review Letters, Vol. 124, Issue 4 https://doi.org/10.1103/physrevlett.124.046401	journal	January 2020
Non-Hermitian Boundary Modes and Topology Borgnia, Dan S.; Kruchkov, Alex Jura; Slager, Robert-Jan Physical Review Letters, Vol. 124, Issue 5 https://doi.org/10.1103/physrevlett.124.056802	journal	February 2020
Topological Origin of Non-Hermitian Skin Effects Okuma, Nobuyuki; Kawabata, Kohei; Shiozaki, Ken Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/physrevlett.124.086801	journal	February 2020
Non-Hermitian Weyl physics in topological insulator ferromagnet junctions Bergholtz, Emil J.; Budich, Jan Carl Physical Review Research, Vol. 1, Issue 1 https://doi.org/10.1103/physrevresearch.1.012003	journal	August 2019
Probing non-Hermitian skin effect and non-Bloch phase transitions Longhi, Stefano Physical Review Research, Vol. 1, Issue 2 https://doi.org/10.1103/physrevresearch.1.023013	journal	September 2019
Exceptional points and the topology of quantum many-body spectra Luitz, David J.; Piazza, Francesco Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033051	journal	October 2019
Topological Phases of Non-Hermitian Systems Gong, Zongping; Ashida, Yuto; Kawabata, Kohei Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/physrevx.8.031079	journal	September 2018
Symmetry and Topology in Non-Hermitian Physics Kawabata, Kohei; Shiozaki, Ken; Ueda, Masahito Physical Review X, Vol. 9, Issue 4 https://doi.org/10.1103/physrevx.9.041015	journal	October 2019
Topological photonics Ozawa, Tomoki; Price, Hannah M.; Amo, Alberto Reviews of Modern Physics, Vol. 91, Issue 1 https://doi.org/10.1103/revmodphys.91.015006	journal	March 2019
Observation of bulk Fermi arc and polarization half charge from paired exceptional points Zhou, Hengyun; Peng, Chao; Yoon, Yoseob Science, Vol. 359, Issue 6379 https://doi.org/10.1126/science.aap9859	journal	January 2018
Exceptional points in optics and photonics Miri, Mohammad-Ali; Alù, Andrea Science, Vol. 363, Issue 6422 https://doi.org/10.1126/science.aar7709	journal	January 2019
Topological states of non-Hermitian systems Martinez Alvarez, V. M.; Barrios Vargas, J. E.; Berdakin, M. The European Physical Journal Special Topics, Vol. 227, Issue 12 https://doi.org/10.1140/epjst/e2018-800091-5	journal	October 2018
Photonics meets topology Xie, Bi-Ye; Wang, Hong-Fei; Zhu, Xue-Yi Optics Express, Vol. 26, Issue 19 https://doi.org/10.1364/oe.26.024531	journal	January 2018
Exceptional cones in 4D parameter space Wang, Qiang; Ding, Kun; Liu, Hui Optics Express, Vol. 28, Issue 2 https://doi.org/10.1364/oe.381700	journal	January 2020
Non-Hermitian topological phase transition in PT-symmetric mode-locked lasers Longhi, Stefano Optics Letters, Vol. 44, Issue 5 https://doi.org/10.1364/ol.44.001190	journal	January 2019
Exceptional surfaces in PT-symmetric non-Hermitian photonic systems Zhou, Hengyun; Lee, Jong Yeon; Liu, Shang Optica, Vol. 6, Issue 2 https://doi.org/10.1364/optica.6.000190	journal	January 2019
On the time evolution at a fluctuating exceptional point Wolff, Christian; Tserkezis, Christos; Mortensen, N. Asger Nanophotonics, Vol. 8, Issue 8 https://doi.org/10.1515/nanoph-2019-0036	journal	March 2019
Active topological photonics Ota, Yasutomo; Takata, Kenta; Ozawa, Tomoki Nanophotonics, Vol. 9, Issue 3 https://doi.org/10.1515/nanoph-2019-0376	journal	January 2020
Classification of topological insulators and superconductors out of equilibrium McGinley, Maximilian; Cooper, Nigel Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.37220	text	January 2019
Dynamical signatures of topological order in the driven-dissipative Kitaev chain van Caspel, Moos; Tapias Arze, Sergio Enrique; Pérez Castillo, Isaac SciPost Physics, Vol. 6, Issue 2 https://doi.org/10.21468/scipostphys.6.2.026	journal	January 2019
Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models Herviou, Loïc; Regnault, Nicolas; Bardarson, Jens H. SciPost Physics, Vol. 7, Issue 5 https://doi.org/10.21468/scipostphys.7.5.069	journal	January 2019
Symmetry protected topological phases characterized by isolated exceptional points Lin, S.; Jin, L.; Song, Z. arXiv https://doi.org/10.48550/arxiv.1712.03814	text	January 2017
Parity-time-symmetric topological superconductor Kawabata, Kohei; Ashida, Yuto; Katsura, Hosho arXiv https://doi.org/10.48550/arxiv.1801.00499	text	January 2018
Topological phases of non-Hermitian systems Gong, Zongping; Ashida, Yuto; Kawabata, Kohei arXiv https://doi.org/10.48550/arxiv.1802.07964	text	January 2018
Non-Hermitian perspective of the band structure in heavy-fermion systems Yoshida, Tsuneya; Peters, Robert; Kawakami, Norio arXiv https://doi.org/10.48550/arxiv.1805.01172	text	January 2018
Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems Kunst, Flore K.; Edvardsson, Elisabet; Budich, Jan Carl arXiv https://doi.org/10.48550/arxiv.1805.06492	text	January 2018
Topological states of non-Hermitian systems Alvarez, V. M. Martinez; Vargas, J. E. Barrios; Berdakin, M. arXiv https://doi.org/10.48550/arxiv.1805.08200	text	January 2018
Anatomy of skin modes and topology in non-Hermitian systems Lee, Ching Hua; Thomale, Ronny arXiv https://doi.org/10.48550/arxiv.1809.02125	text	January 2018
Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry Jin, L.; Song, Z. arXiv https://doi.org/10.48550/arxiv.1809.03139	text	January 2018
Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries Okugawa, Ryo; Yokoyama, Takehito arXiv https://doi.org/10.48550/arxiv.1810.03376	text	January 2018
Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions Zhao, Peng-Lu; Wang, An-Min arXiv https://doi.org/10.48550/arxiv.1811.11437	text	January 2018
Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides Li, Ying; Argyropoulos, Christos arXiv https://doi.org/10.48550/arxiv.1812.04997	text	January 2018
Topology and Observables of the Non-Hermitian Chern Insulator Hirsbrunner, Mark R.; Philip, Timothy M.; Gilbert, Matthew J. arXiv https://doi.org/10.48550/arxiv.1901.09961	text	January 2019
New topological invariants in non-Hermitian systems Ghatak, Ananya; Das, Tanmoy arXiv https://doi.org/10.48550/arxiv.1902.07972	text	January 2019
Non-Hermitian skin effect and chiral damping in open quantum systems Song, Fei; Yao, Shunyu; Wang, Zhong arXiv https://doi.org/10.48550/arxiv.1904.08432	text	January 2019
Exceptional rings protected by emergent symmetry for mechanical systems Yoshida, Tsuneya; Hatsugai, Yasuhiro arXiv https://doi.org/10.48550/arxiv.1904.10764	text	January 2019
Topological phase transition in non-Hermitian quasicrystals Longhi, Stefano arXiv https://doi.org/10.48550/arxiv.1905.09460	text	January 2019
Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling Wang, P.; Jin, L.; Song, Z. arXiv https://doi.org/10.48550/arxiv.1906.00610	text	January 2019
Quantum probing topological phase transitions by non-Markovianity Giorgi, Gian Luca; Longhi, Stefano; Cabot, Albert arXiv https://doi.org/10.48550/arxiv.1907.05080	text	January 2019
Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions Longhi, Stefano arXiv https://doi.org/10.48550/arxiv.1908.07712	text	January 2019
Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension Zhou, Longwen arXiv https://doi.org/10.48550/arxiv.1909.10797	text	January 2019
Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model Yuce, C.; Ramezani, H. arXiv https://doi.org/10.48550/arxiv.1910.06362	text	January 2019
Active topological photonics Ota, Yasutomo; Takata, Kenta; Ozawa, Tomoki arXiv https://doi.org/10.48550/arxiv.1912.05126	text	January 2019

Similar Records

Homotopy characterization of non-Hermitian Hamiltonians

Journal Article · Fri May 15 00:00:00 EDT 2020 · Physical Review B · OSTI ID:1803752

Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models

Journal Article · Wed Nov 27 23:00:00 EST 2019 · SciPost Physics · OSTI ID:1576038

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Topological Band Theory for Non-Hermitian Hamiltonians

Citation Formats

References (84)

Cited By (168)

Similar Records

Related Subjects