Fetching the paper…
Reading the bibliography…
The discovery of novel topological phase advances our knowledge of nature and stimulates the development of applications.
1901
Earlier work this paper cites.
Q. B. Zeng, Y. B. Yang, and Y. Xu, Topological Non-Hermitian Quasicrystals, arXiv:1901.08060
1901
Earlier work this paper cites.
1901
Earlier work this paper cites.
1901
Earlier work this paper cites.
W. B. Rui, Y. X. Zhao, and A. P. Schnyder, Classification of massive Dirac models with generic non-Hermitian perturbations, arXiv: 1902.06617
1902
Earlier work this paper cites.
K. Kawabata, T. Bessho, and M. Sato, Non-Hermitian Topology of Exceptional Points, arXiv:1902.08479
1902
Earlier work this paper cites.
1903
Earlier work this paper cites.
1903
Earlier work this paper cites.
1904
Earlier work this paper cites.
E. Cancellieri and H. Schomerus, PC-symmetry protected edge states in interacting driven-dissipative bosonic systems, Phys. Rev. A 99
1904
Earlier work this paper cites.
1904
Earlier work this paper cites.
1904
Earlier work this paper cites.
1904
Earlier work this paper cites.
C. M. Bender and S. Boettcher, Real Spectra in non-Hermitian Hamiltonians Having 𝒫 𝒯 \mathcal{PT} Symmetry, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
A. Mostafazadeh, Pseudo-Hermiticity versus 𝒫 𝒯 \mathcal{PT} -symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian, J. Math. Phys. 43
2002
Earlier work this paper cites.
C. Dembowski, H. D. Graf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, Experimental Observation of the Topological Structure of Exceptional Points, Phys. Rev. Lett. 86
2004
Earlier work this paper cites.
W. D. Heiss and H. L. Harney, The chirality of exceptional points, Eur. Phys. J. D 17
2004
Earlier work this paper cites.
A. Ruschhaupt, F. Delgado, and J. G. Muga, Physical realization of 𝒫 𝒯 \mathcal{PT} -symmetric potential scattering in a planar slab waveguide, J. Phys. A 38
2005
Earlier work this paper cites.
L. Fu and C. L. Kane, Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
S. Klaiman, U. Guenther, and N. Moiseyev, Visualization of Branch Points in 𝒫 𝒯 \mathcal{PT} -Symmetric Waveguides, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007); K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Beam Dynamics in 𝒫 𝒯 \mathcal{PT} Symmetric Optical Lattices, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
A. H. C. Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Observation of 𝒫 𝒯 \mathcal{PT} -Symmetry Breaking in Complex Optical Potentials, Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
2009
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
R. M. Lutchyn, J. D. Sau, and S. D. Sarma, Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
Y. Oreg, G. Refael, and F. von Oppen, Helical Liquids and Majorana Bound States in Quantum Wires, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Observation of parity–time symmetry in optics, Nat. Phys. 6
2010
Earlier work this paper cites.
X. L. Qi and S. C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
K. Y. Yang, Y. M. Lu, and Y. Ran, Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates, Phys. Rev. B 84,
2011
Earlier work this paper cites.
A. A. Burkov and L. Balents, Weyl Semimetal in a Topological Insulator Multilayer, Phys. Rev. Lett. 107,
2011
Earlier work this paper cites.
G. Xu, H. Weng, Z. Wang, X. Dai, and Z. Fang, Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2
2011
Earlier work this paper cites.
N. Moiseyev, Non-Hermitian Quantum Mechanics (Cambridge University Press, Cambridge, UK, 2011)
2011
Earlier work this paper cites.
R. Uzdin, A. Mailybaev, and N. Moiseyev, On the observability and asymmetry of adiabatic state flips generated by exceptional points, J. Phys. A 44
2011
Earlier work this paper cites.
S. Diehl, E. Rico, M. A. Baranov, and P. Zoller, Topology by dissipation in atomic quantum wires, Nat. Phys. 7
2011
Earlier work this paper cites.
Y. C. Hu and T. L. Hughes, Absence of topological insulator phases in non-Hermitian 𝒫 𝒯 \mathcal{PT} -symmetric Hamiltonians, Phys. Rev. B 84
2011
Earlier work this paper cites.
A. Szameit, M. C. Rechtsman, O. Bahat-Treidel, and M. Segev, 𝒫 𝒯 \mathcal{PT} -symmetry in honeycomb photonic lattices, Phys. Rev. A 84
2011
Earlier work this paper cites.
S. M. Young, S. Zaheer, J. C. Y. Teo, C. L. Kane, E. J. Mele, and A. M. Rappe, Dirac Semimetal in Three Dimensions, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
Z. J. Wang, Y. Sun, X. Q. Chen, C. Franchini, G. Xu, H. M. Weng, X. Dai, and Z. Fang, Dirac semimetal and topological phase transitions in A 3
2012
Earlier work this paper cites.
W. W. Krempa and Y. B. Kim, Topological and magnetic phases of interacting electrons in the pyrochlore iridates, Phys. Rev. B 85,
2012
Earlier work this paper cites.
K. Sun, W. V. Liu, A. Hemmerich, and S. D. Sarma, Topological semimetal in a fermionic optical lattice, Nat. Phys. 8,
2012
Earlier work this paper cites.
M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Robust optical delay lines with topological protection, Nat. Phys. 7
2013
Earlier work this paper cites.
M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, and A. Szameit, Photonic Floquet topological insulators, Nature (London) 496
2013
Earlier work this paper cites.
Z. Wang, H. Weng, Q. Wu, X. Dai, and Z. Fang, Three-dimensional Dirac semimetal and quantum transport in Cd 3
2013
Earlier work this paper cites.
J. M. Hou, Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice, Phys. Rev. Lett. 111,
2013
Earlier work this paper cites.
H. Schomerus, Topologically protected midgap states in complex photonic lattices, Opt. Lett. 38
2013
Earlier work this paper cites.
G. Q. Liang and Y. D. Chong, Optical resonator analog of a two-dimensional topological insulator, Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
W.-J. Chen, S.-J. Jiang, X.-D. Chen, B. Zhu, L. Zhou, J.-W. Dong, and C. T. Chan, Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide, Nat. Commun. 5
2014
Earlier work this paper cites.
V. Mourik, K. Zuo, S. M. Frolov, S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices, Science 336
2014
Earlier work this paper cites.
J. A. Steinberg, S. M. Young, S. Zaheer, C. L. Kane, E. J. Mele, and A. M. Rappe, Bulk Dirac Points in Distorted Spinels, Phys. Rev. Lett. 112
2014
Earlier work this paper cites.
Z. K. Liu, J. Jiang, B. Zhou, Z. J. Wang, Y. Zhang, H. M. Weng, D. Prabhakaran, S-K. Mo, H. Peng, P. Dudin, T. Kim, M. Hoesch, Z. Fang, X. Dai, Z. X. Shen, D. L. Feng, Z. Hussain, and Y. L. Chen, A stable three-dimensional topological Dirac semimetal Cd 3
2014
Earlier work this paper cites.
M. Neupane, S. Y. Xu, R. Sankar, N. Alidoust, G. Bian, C. Liu, I. Belopolski, T. R. Chang, H. T. Jeng, H. Lin, A. Bansil, F. C. Chou, and M. Z. Hasan, Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd 3
2014
Earlier work this paper cites.
B. Peng, S. K. Özdemir, F. Lei, F. Monifi, M. Gianfreda, G. L. Long, S. Fan, F. Nori, C. M. Bender and L. Yang, Parity–time-symmetric whispering-gallery microcavities, Nat. Phys. 10
2014
Earlier work this paper cites.
L. Chang, X. Jiang, S. Hua, C. Yang, J. Wen, L. Jiang, G. Li, G. Wang and M. Xiao, Parity–time symmetry and variable optical isolation in active–passive-coupled microresonators, Nat. Photon. 8
2014
Cited alongside, same era.
L. Feng, Z. J. Wong, R. M. Ma, Y. Wang, and X. Zhang, Single-mode laser by parity-time symmetry breaking, Science 346
2014
Cited alongside, same era.
J. Wiersig, Enhancing the Sensitivity of Frequency and Energy Splitting Detection by Using Exceptional Points: Application to Microcavity Sensors for Single Particle Detection, Phys. Rev. Lett. 112
2014
Cited alongside, same era.
H. M. Weng, R. Yu, X. Hu, X. Dai, and Z. Fang, Quantum anomalous Hall effect and related topological electronic states, Adv. Phys. 64
2015
Cited alongside, same era.
J. Xiong, S. K. Kushwaha, T. Liang, J. W. Krizan, M. Hirschberger, W. Wang, R. J. Cava, and N. P. Ong, Evidence for the chiral anomaly in the Dirac semimetal Na 3
X. L. Zhang, S. B. Wang, B. Hou, and C. T. Chan, Dynamically Encircling Exceptional Points: In situ Control of Encircling Loops and the Role of the Starting Point, Phys. Rev. X 8
2018
Later among the works it cites.
Q. Zhong, D. N. Christodoulides, M. Khajavikhan, K. G. Makris, and R. El-Ganainy, Power-law scaling of extreme dynamics near higher-order exceptional points, Phys. Rev. A 97
2018
Later among the works it cites.
B. Midya, H. Zhao, and Feng, L. Non-Hermitian photonics promises exceptional topology of light, Nat. Commun. 9
2018
Later among the works it cites.
W. Zhu, X. Fang, D. Li, Y. Sun, Y. Li, Y. Jing, and H. Chen, Simultaneous observation of a topological edge state and exceptional point in an open and non-Hermitian acoustic system, Phys. Rev. Lett. 121
2018
Later among the works it cites.
H. Zhao, S. Longhi, and L. Feng, Robust light state by quantum phase transition in non-Hermitian optical materials, Sci. Rep. 5
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2015
Cited alongside, same era.
B. Q. Lv, N. Xu, H. M. Weng, J. Z. Ma, P. Richard, X. C. Huang, L. X. Zhao, G. F. Chen, C. E. Matt, F. Bisti, V. N. Strocov, J. Mesot, Z. Fang, X. Dai, T. Qian, M. Shi, and H. Ding, Observation of Weyl nodes in TaAs, Nat. Phys. 11
2015
Cited alongside, same era.
M. Hirschberger, S. Kushwaha, Z. J. Wang, Q. Gibson, S. H. Liang, C. A. Belvin, B. A. Bernevig, R. J. Cava, and N. P. Ong, The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi, Nat. Mater. 15,
2015
Cited alongside, same era.
S. M. Huang, S. Y. Xu, I. Belopolski, C. C. Lee, G. Q. Chang, B. K. Wang, N. Alidoust, G. Bian, M. Neupane, C. Zhang, S. Jia, A. Bansil, H. Lin, and M. Z. Hasan, A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class, Nat. Commun. 6
2015
Cited alongside, same era.
S. Y. Xu, I. Belopolski, N. Alidoust, M. Neupane, G. Bian, C. L. Zhang, R. Sankar, G. Q. Chang, Z. J. Yuan, C. C. Lee, S. M. Huang, H. Zheng, J. Ma, D. S. Sanchez, B. K. Wang, A. Bansil, F. C. Chou, P. P. Shibayev, H. Lin, S. Jia, and M. Z. Hasan, Discovery of a Weyl fermion semimetal and topological Fermi arcs, Science 349
2015
Cited alongside, same era.
L. Lu, Z. Y. Wang, D. X. Ye, L. X. Ran, L. Fu, J. D. Joannopoulos, and M. Soljačić, Experimental observation of Weyl points, Science 349
2015
Cited alongside, same era.
R. Fleury, D. Sounas, and A. Alù, An invisible acoustic sensor based on parity-time symmetry, Nat. Commun. 6
2015
Cited alongside, same era.
K. G. Makris, Z. H. Musslimani, D. N. Christodoulides, and S. Rotter, Constant-intensity waves and their modulation instability in non-Hermitian potentials, Nat. Commun. 6
2015
Cited alongside, same era.
2018
Later among the works it cites.
W. Hu, H. Wang, P. P. Shum, and Y. D. Chong, Exceptional points in a non-Hermitian topological pump, Phys. Rev. B 95
2018
Later among the works it cites.
J. Gong and Q. H. Wang, Stabilizing non-Hermitian systems by periodic driving, Phys. Rev. A 91
2018
Later among the works it cites.
H. Shen and L. Fu, Quantum Oscillation from in-gap states and a non-Hermitian Landau level problem, Phys. Rev. Lett. 121
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. 121
2018
Later among the works it cites.
C. Yuce, Topological phase in a non-Hermitian 𝒫 𝒯 \mathcal{PT} symmetric system, Phys. Lett. A 379
2018
Later among the works it cites.
S. Lieu, Topological phases in the non-Hermitian Su-Schrieffer-Heeger model, Phys. Rev. B 97
2018
Later among the works it cites.
K. Kawabata, K. Shiozaki, and M. Ueda, Anomalous helical edge states in a non-Hermitian Chern insulator, Phys. Rev. B 98
2018
Later among the works it cites.
B. X. Wang and C. Y. Zhao, Topological phonon polaritons in one-dimensional non-Hermitian silicon carbide nanoparticle chains, Phy. Rev. B 98
2018
Later among the works it cites.
K. Kawabata, Y. Ashida, H. Katsura, and M. Ueda, Parity-time-symmetric topological superconductor, Phys. Rev. B 98
2018
Later among the works it cites.
L. J. Lang, Y. Wang, H. Wang, and Y. D. Chong, Effects of non-Hermiticity on Su-Schrieffer-Heeger defect states, Phys. Rev. B 98
2018
Later among the works it cites.
T. T. Koutserimpas, A. Alù, and R. Fleury, Parametric amplification and bidirectional invisibility in 𝒫 𝒯 \mathcal{PT} symmetric time-Floquet systems, Phys. Rev. A 97
2018
Later among the works it cites.
H. Shen, B. Zhen, and L. Fu, Topological band theory for non-Hermitian Hamiltonians, Phys. Rev. Lett. 120
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. 9
2018
Later among the works it cites.
M. Parto, S. Wittek, H. Hodaei, G. Harari, M. A. Bandres, J. Ren, M. C. Rechtsman, M. Segev, D. N. Christodoulides, and M. Khajavikhan, Edge-mode lasing in 1D topological active arrays, Phys. Rev. Lett. 120
2018
Later among the works it cites.
H. Zhao, P. Miao, M. H. Teimourpour, S. Malzard, R. El-Ganainy, H. Schomerus, and L. Feng, Topological hybrid silicon microlasers, Nat. Commun. 9
2018
Later among the works it cites.
G. Harari, M. A. Bandres, Y. Lumer, M. C. Rechtsman, Y. D. Chong, M. Khajavikhan, D. N. Christodoulides, and M. Segev, Topological insulator laser: Theory, Science 359
2018
Later among the works it cites.
T. Liu, Y. R. Zhang, Q. Ai, Z. Gong, K. Kawabata, M. Ueda, and F. Nori, Second-order topological phases in non-Hermitian systems, Phys. Rev. Lett. 122
2018
Later among the works it cites.
T. E. Lee, Anomalous edge state in a non-Hermitian lattice, Phys. Rev. Lett. 116
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 97
2018
Later among the works it cites.
S. Yao and Z. Wang, Edge states and topological invariants of non-Hermitian systems, Phys. Rev. Lett. 121
2018
Later among the works it cites.
Z. P. Gong, Y. Ashida, K. Kawabata, K. Takasan, S. Higashikawa, and M. Ueda, Topological phases of non-Hermitian systems, Phys. Rev. X 8
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. Soljačić, and B. Zhen, Observation of bulk Fermi arc and polarization half charge from paired exceptional points, Science 359
2018
Later among the works it cites.
S. Malzard and H. Schomerus, Bulk and edge-state arcs in non-Hermitian coupled-resonator arrays, Phys. Rev. A 98
2018
Later among the works it cites.
A. Cerjan, M. Xiao, L. Yuan, and S. Fan, Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges, Phys. Rev. B 97
2018
Later among the works it cites.
J. González and R. A. Molina, Topological protection from exceptional points in Weyl and nodal-line semimetals, Phys. Rev. B 96
2018
Later among the works it cites.
C. H. Lee, S. Imhof, C. Berger, F. Bayer, J. Brehm, and L. W. Molenkamp, Tobias Kiessling and Ronny Thomale Topolectrical Circuits, Commun. Phys. 1
2018
Later among the works it cites.
N. R. Cooper, J. Dalibard, and I. B. Spielman, Topological bands for ultracold atoms, Rev. Mod. Phys. 91
2019
Closest in time.
T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, and I. Carusotto, Topological photonics, Rev. Mod. Phys. 91
2019
Closest in time.
M. A. Miri and A. Alù, Exceptional points in optics and photonics, Science 363
2019
Closest in time.
R.Wang, X. Z. Zhang, and Z. Song, Dynamical topological invariant for non-Hermitian Rice-Mele model, Phys. Rev. A 98
2019
Closest in time.
J. Carlström and E. J. Bergholtz, Exceptional links and twisted Fermi ribbons in non-Hermitian systems, Phys. Rev. A 98
2019
Closest in time.
A. A. Zyuzin and A. Yu. Zyuzin, Flat band in disorderdriven non-Hermitian Weyl semimetals, Phys. Rev. B 97
2019
Closest in time.
A. Ghatak and T. Das, New topological invariants in non-Hermitian systems, J. Phys.: Condens. Matter 31
2019
Closest in time.
Y. V. Kartashov and D. V. Skryabin, Two-Dimensional Topological Polariton Laser, Phys. Rev. Lett. 122
2019
Closest in time.
2019
Closest in time.
E. Edvardsson, F. K. Kunst, and E. J. Bergholtz, Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence, Phys. Rev. B 99
2019
Closest in time.
L. Jin and Z. Song, Bulk-boundary correspondence in a non-Hermitian system in one dimension with chiral inversion symmetry, Phys. Rev. B 99
2019
Closest in time.
Z. Yang and J. Hu, Non-Hermitian Hopf-link exceptional line semimetals, Phys. Rev. B 99
2019
Closest in time.
H. Wang, J. Ruan, and H. Zhang, Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence, Phys. Rev. B 99
2019
Closest in time.
K. Kawabata, S. Higashikawa, Z. Gong, Y. Ashida, and M. Ueda, Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics, Nat. Commun. 10
2019
Closest in time.
S. Lin, L. Jin, and Z. Song, Symmetry protected topological phases characterized by isolated exceptional points, Phys. Rev. B 99
2019
Closest in time.
J. C. Budich, J. Carlström, F. K. Kunst, and E. J. Bergholtz, Symmetry-protected nodal phases in non-Hermitian systems, Phys. Rev. B 99
2019
Closest in time.
R. Okugawa and T. Yokoyama, Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries, Phys. Rev. B 99
2019
Closest in time.
H. Zhou, J. Y. Lee, S. Liu, and B. Zhen, Exceptional surfaces in 𝒫 𝒯 \mathcal{PT} -symmetric non-Hermitian photonic systems, Optica 6
2019
Closest in time.
T. Yoshida, R. Peters, N. Kawakami, and Y. Hatsugai, Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry, Phys. Rev. B 99
2019
Closest in time.
J. Carlström, M. Stålhammar, J. C. Budich, and E. J. Bergholtz, Knotted non-Hermitian metals, Phys. Rev. B 99
2019
Closest in time.
Y. Wang, L. J. Lang, C. H. Lee, B. Zhang, and Y. D. Chong, Topologically enhanced harmonic generation in a nonlinear transmission line metamaterial, Nat. Commun. 10
2019
Closest in time.