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The discovery of topological phases in non-Hermitian open classical and quantum systems challenges our current understanding of topological order.
P. G. Harper, Single Band Motion of Conduction Electrons in a Uniform Magnetic Field, Proc. Phys. Soc. London A
1955
Earlier work this paper cites.
D.J. Kuizenga and A.E. Siegman, FM and AM Mode Locking of the Homogeneous Laser-Part I, IEEE J. Quantum Electron
1970
Earlier work this paper cites.
D.J. Kuizenga and A.E. Siegman, FM and AM Mode Locking of the Homogeneous Laser-Part II, IEEE J. Quantum Electron
1970
Earlier work this paper cites.
D.J. Thouless, A relation between the density of states and range of localization for one dimensional random systems, J. Phys. C: Solid State Phys
1973
Earlier work this paper cites.
S. Aubry and G. André, Analyticity breaking and Anderson localization in incommensurate lattices, Ann. Israel Phys. Soc
1980
Earlier work this paper cites.
D. J. Thouless, Quantization of particle transport, Phys. Rev. B
1983
Earlier work this paper cites.
J.B. Sokoloff, Unusual band structure, wave function and electrical conductance in crystals with incommensurate periodic potentials, Phys. Rep
1984
Earlier work this paper cites.
S. Ostlund and R. Pandit, Renormalization-group analysis of the discrete quasiperiodic Schrodinger equation, Phys. Rev. B
1984
Earlier work this paper cites.
N. Hatano and D. R. Nelson, Localization Transitions in Non-Hermitian Quantum Mechanics, Phys. Rev. Lett
1996
Earlier work this paper cites.
A. Altland and M. R. Zirnbauer, Nonstandard Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures, Phys. Rev. B
1997
Earlier work this paper cites.
N. Hatano and D. R. Nelson, Vortex pinning and non-Hermitian quantum mechanics, Phys. Rev. B
1997
Earlier work this paper cites.
P. W. Brouwer, P. G. Silvestrov, and C.W.J. Beenakker, Theory of Directed Localization in one dimension, Phys. Rev. B
1997
Earlier work this paper cites.
N. Hatano and D. R. Nelson, Non-Hermitian Delocalization and Eigenfunctions, Phys. Rev. B
1998
Earlier work this paper cites.
H.A. Haus, Mode-locking of lasers, IEEE J. Sel. Top. Quantum Electron
2000
Earlier work this paper cites.
R.B. Diener, G.A. Georgakis, J. Zhong, M. Raizen, and Q. Niu, Transition between extended and localized states in a one-dimensional incommensurate optical lattice, Phys. Rev. A
2001
Earlier work this paper cites.
B. Fischer, B. Vodonos, S. Atkins, and A. Bekker, Experimental demonstration of localization in the frequency domain of mode-locked lasers with dispersion, Opt. Lett
2002
Earlier work this paper cites.
A. Gordon and B. Fischer, Statistical-mechanics theory of active mode locking with noise, Opt. Lett
2004
Earlier work this paper cites.
G. Roati,, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Anderson localization of a non-interacting Bose-Einstein condensate, Nature
2008
Earlier work this paper cites.
S. Longhi, Metal-insulator transition in the spectrum of a frequency-modulation mode-locked laser, Phys. Rev. A
2008
Earlier work this paper cites.
M. S. Rudner and L. S. Levitov, Topological Transition in a Non-Hermitian Quantum Walk, Phys. Rev. Lett
2009
Earlier work this paper cites.
Y. Lahini, R. Pugatch, F. Pozzi, M. Sorel, R. Morandotti, N. Davidson, and Y. Silberberg, Observation of a Localization Transition in Quasiperiodic Photonic Lattices, Phys. Rev. Lett
2009
Earlier work this paper cites.
A. Avila and S. Jitomirskaya, The Ten Martini Problem, Ann. Math
2009
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys
2010
Earlier work this paper cites.
S. Ryu, A. P. Schnyder, A. Furusaki, and A.W.W. Ludwig, Topological Insulators and Superconductors: Tenfold Way and Dimensional Hierarchy, New J. Phys
2010
Earlier work this paper cites.
A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Experimental Observation of Critical Phenomena in a Laser Light System, Phys. Rev. Lett
2010
Earlier work this paper cites.
Y. C. Hu and T.L. Hughes, Absence of topological insulator phases in non-Hermitian
2011
Cited alongside, same era.
Y. E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Topological States and Adiabatic Pumping in Quasicrystals, Phys. Rev. Lett
2012
Cited alongside, same era.
L.-J. Lang, X. Cai, and S. Chen, Edge States and Topological Phases in One-Dimensional Optical Superlattices, Phys. Rev. Lett
2012
Cited alongside, same era.
H. Schomerus, Topologically protected midgap states in complex photonic lattices, Opt. Lett
2013
Cited alongside, same era.
S. Ganeshan, K. Sun, and S. Das Sarma, Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models. Phys. Rev. Lett
2013
Cited alongside, same era.
T. E. Lee, Anomalous Edge State in a Non-Hermitian Lattice, Phys. Rev. Lett
2016
Later among the works it cites.
S. Longhi,Tight-binding lattices with an oscillating imaginary gauge field, Phys. Rev. A
2016
Later among the works it cites.
A. K. Harter, T. E. Lee, and Y. N. Joglekar,
2016
Later among the works it cites.
M.A. Bandres, M.C. Rechtsman, and M. Segev, Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport, Phys. Rev. X
2016
Later among the works it cites.
Y.E. Kraus and O. Zilberberg, Quasiperiodicity and topology transcend dimensions, Nat. Phys
2016
Later among the works it cites.
S. Weimann, M. Kremer, Y. Plotnik, Y. Lumer, S. Nolte, K. G. Makris, M. Segev, M. C. Rechtsman, and A. Szameit, Topologically Protected Bound States in Photonic Parity-Time-Symmetric Crystals, Nat. Mater
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M. Verbin, O. Zilberberg, Y.E. Kraus, Y. Lahini, and Y. Silberberg, Observation of Topological Phase Transitions in Photonic Quasicrystals, Phys. Rev. Lett
2013
Cited alongside, same era.
K.A. Madsen, E.J. Bergholtz, and P.W. Brouwer, Topological equivalence of crystal and quasicrystal band structures, Phys. Rev. B
2013
Cited alongside, same era.
Y.E. Kraus, Z. Ringel, and O. Zilberberg, Comment on
2013
Cited alongside, same era.
Y. E. Kraus, Z. Ringel, and O. Zilberberg, Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal, Phys. Rev. Lett
2013
Cited alongside, same era.
L. Lu, J. D. Joannopoulos, and M. Soljac̆ic, Topological photonics, Nat. Photonics
2014
Cited alongside, same era.
S. Longhi,
2014
Cited alongside, same era.
C. Yuce,
2014
Cited alongside, same era.
2017
Later among the works it cites.
D. Leykam, K. Y. Bliokh, C. Huang, Y. D. Chong, and F. Nori, Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems, Phys. Rev. Lett
2017
Later among the works it cites.
Q.-B. Zeng, S. Chen, and R. Lü, Anderson localization in the Non-Hermitian Aubry-André-Harper model with physical gain and loss, Phys. Rev. A
2017
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
M. Pan, H. Zhao, P. Miao, S. Longhi, and L. Feng, Photonic zero mode in a non-Hermitian photonic lattice, Nat. Commun
2018
Later among the works it cites.
H. Zhou, C. Peng, Y. Yoon, C.W. Hsu, K. A. Nelson, L. Fu, J. D. Joannopoulos, M. Soljac̆ic, and B. Zhen, Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points, Science
2018
Later among the works it cites.
C. Yin, H. Jiang, L. Li, R. Lü, and S. Chen, Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems, Phys. Rev. A
2018
Later among the works it cites.
S. Yao, F. Song, and Z. Wang, Non-Hermitian Chern bands, Phys. Rev. Lett
2018
Later among the works it cites.
H. Shen, B. Zhen, and L. Fu, Topological Band Theory for Non-Hermitian Hamiltonians, Phys. Rev. Lett
2018
Later among the works it 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
2018
Later among the works it cites.
S. Longhi, Non-Hermitian Gauged Topological Laser Arrays, Ann. Phys. (Berlin)
2018
Later among the works it cites.
C. Yuce and Z. Oztas,
2018
Later among the works it cites.
K. Takata and M. Notomi, Photonic Topological Insulating Phase Induced Solely by Gain and Loss, Phys. Rev. Lett
2018
Later among the works it cites.
F.K. Kunst, E. Edvardsson, J. C. Budich, and E.J. Bergholtz, Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems, Phys. Rev. Lett
2018
Later among the works it cites.
Z. Gong, Y. Ashida, K. Kawabata, K. Takasan, S. Higashikawa, and M. Ueda, Topological Phases of Non-Hermitian Systems, Phys. Rev. X
2018
Later among the works it cites.
S. Yao and Z. Wang, Edge States and Topological Invariants of Non-Hermitian Systems, Phys. Rev. Lett
2018
Later among the works it cites.
Y. Xiong, Why Does Bulk Boundary Correspondence Fail in Some Non-Hermitian Topological Models, J. Phys. Commun
2018
Later among the works it cites.
K. Kawabata, K. Shiozaki, and M. Ueda, Non-Hermitian Chern Insulator, arXiv:1805.09632v1 (2018)
2018
Later among the works it cites.