Fetching the paper…
Reading the bibliography…
Topology plays a central role in nearly all disciplines of physics, yet its applications have so far been restricted to closed, lossless systems in thermodynamic equilibrium.
1901
Earlier work this paper cites.
We have chosen the branch cuts of the arctan function to be ( i , i ∞ ) (i,i\infty) and ( − i , − i ∞ ) (-i,-i\infty)
1901
Earlier work this paper cites.
H. Feshbach, Unified theory of nuclear reactions, Annals of Physics 5
1958
Earlier work this paper cites.
L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (W. A. Benjamin, New York, 1962)
1962
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Quantized Hall Conductance in a Two-Dimensional Periodic Potential, Physical Review Letters 49
1982
Earlier work this paper cites.
K. Ishikawa and T. Matsuyama, Magnetic field induced multi-component QED3 and quantum Hall effect, Zeitschrift für Physik C Particles and Fields 33
1986
Earlier work this paper cites.
K. von Klitzing, The quantized hall effect, Rev. Mod. Phys. 58
1986
Earlier work this paper cites.
K. Ishikawa and T. Matsuyama, A microscopic theory of the quantum Hall effect, Nuclear Physics B 280
1987
Earlier work this paper cites.
A. W. W. Ludwig, M. P. A. Fisher, R. Shankar, and G. Grinstein, Integer quantum Hall transition: An alternative approach and exact results, Physical Review B 50
1994
Earlier work this paper cites.
S.-C. Zhang and J. Hu, A Four-Dimensional Generalization of the Quantum Hall Effect, Science 294
2001
Earlier work this paper cites.
M. Nakahara, Geometry, Topology and Physics (Graduate Student Series in Physics) (CRC Press, 2003)
2003
Earlier work this paper cites.
H. Bruus and K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics: An Introduction (Oxford University Press, Oxford, 2004)
2004
Earlier work this paper cites.
S. Ryu, C. Mudry, A. Furusaki, and A. W. W. Ludwig, Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions, Physical Review B 75
2007
Earlier work this paper cites.
C. M. Bender, Making sense of non-Hermitian Hamiltonians, Reports on Progress in Physics 70
2007
Earlier work this paper cites.
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Classification of topological insulators and superconductors in three spatial dimensions, Phys. Rev. B 78
2008
Earlier work this paper cites.
X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Topological field theory of time-reversal invariant insulators, Physical Review B 78
2008
Earlier work this paper cites.
M. Anantram, M. Lundstrom, and D. Nikonov, Modeling of Nanoscale Devices, Proceedings of the IEEE 96
2008
Earlier work this paper cites.
A. Kitaev, Periodic table for topological insulators and superconductors, AIP Conference Proceedings 1134
2009
Earlier work this paper cites.
I. 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.
I. 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.
A. Roth, C. Brüne, H. Buhmann, L. W. Molenkamp, J. Maciejko, X.-L. Qi, and S.-C. Zhang, Nonlocal Transport in the Quantum Spin Hall State, Science 325
2009
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 Journal of Physics 12
2010
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82
2010
Cited alongside, same era.
Z. Wang, X.-L. Qi, and S.-C. Zhang, Topological Order Parameters for Interacting Topological Insulators, Physical Review Letters 105
2010
Cited alongside, same era.
X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Reviews of Modern Physics 83
2011
Cited alongside, same era.
B. A. Bernevig and T. L. Hughes, Topological Insulators and Topological Superconductors (Princeton University Press, Princeton, 2013)
2013
Cited alongside, same era.
L. Feng, Y.-L. Xu, W. S. Fegadolli, M.-H. Lu, J. E. B. Oliveira, V. R. Almeida, Y.-F. Chen, and A. Scherer, Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies, Nature Materials 12
2013
Cited alongside, same era.
D. Karlsson and R. van Leeuwen, Partial self-consistency and analyticity in many-body perturbation theory: Particle number conservation and a generalized sum rule, Physical Review B 94
2016
Later among the works it cites.
H. Shen, B. Zhen, and L. Fu, Topological Band Theory for Non-Hermitian Hamiltonians, Physical Review Letters 120
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, Physical Review B 97
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. Soljac̆ić, 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.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Fruchart and D. Carpentier, An introduction to topological insulators, Comptes Rendus Physique Topological insulators / Isolants topologiques, 14
2013
Cited alongside, same era.
C. Chang, J. Zhang, X. Feng, J. Shen, Z. Zhang, M. Guo, K. Li, Y. Ou, P. Wei, L.-L. Wang, Z.-Q. Ji, Y. Feng, S. Ji, X. Chen, J. Jia, X. Dai, Z. Fang, S.-C. Zhang, K. He, Y. Wang, L. Lu, X.-C. Ma, and Q.-K. Xue, Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator, Science 340
2013
Cited alongside, same era.
X. Kou, S.-T. Guo, Y. Fan, L. Pan, M. Lang, Y. Jiang, Q. Shao, T. Nie, K. Murata, J. Tang, Y. Wang, L. He, T.-K. Lee, W.-L. Lee, and K. L. Wang, Scale-Invariant Quantum Anomalous Hall Effect in Magnetic Topological Insulators beyond the Two-Dimensional Limit, Physical Review Letters 113
2014
Cited alongside, same era.
H. Z. Shen, W. Wang, and X. X. Yi, Hall conductance and topological invariant for open systems, Scientific Reports 4
2014
Cited alongside, same era.
M. Pourfath, The Non-Equilibrium Green’s Function Method for Nanoscale Device Simulation , Computational Microelectronics (Springer Vienna, Vienna, 2014)
2014
Cited alongside, same era.
R. Süsstrunk and S. D. Huber, Observation of phononic helical edge states in a mechanical topological insulator, Science 349
2015
Cited alongside, same era.
I. Rotter and J. P. Bird, A review of progress in the physics of open quantum systems: theory and experiment, Reports on Progress in Physics 78
2015
Cited alongside, same era.
Z. Gong, Y. Ashida, K. Kawabata, K. Takasan, S. Higashikawa, and M. Ueda, Topological Phases of Non-Hermitian Systems, Physical Review X 8
2018
Later among the works it cites.
S. Yao, F. Song, and Z. Wang, Non-Hermitian Chern Bands, Physical Review Letters 121
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, Physical Review Letters 121
2018
Later among the works it cites.
K. Kawabata, K. Shiozaki, and M. Ueda, Anomalous helical edge states in a non-Hermitian Chern insulator, Physical Review 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, Physical Review B 98
2018
Later among the works it cites.
Y. Xiong, Why does bulk boundary correspondence fail in some non-hermitian topological models, Journal of Physics Communications 2
2018
Later among the works it cites.
S. Yao and Z. Wang, Edge States and Topological Invariants of Non-Hermitian Systems, Physical Review Letters 121
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
T. M. Philip, M. R. Hirsbrunner, and M. J. Gilbert, Loss of hall conductivity quantization in a non-hermitian quantum anomalous hall insulator, Phys. Rev. B 98
2018
Later among the works it cites.
K. Moors, A. A. Zyuzin, A. Y. Zyuzin, R. P. Tiwari, and T. L. Schmidt, Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals, Physical Review 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, Physical Review 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, Physical Review B 99
2019
Closest in time.
Z. Yang and J. Hu, Non-Hermitian Hopf-link exceptional line semimetals, Physical Review 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, Nature Communications 10
2019
Closest in time.
L. Jin and Z. Song, Bulk-boundary correspondence in a non-Hermitian system in one dimension with chiral inversion symmetry, Physical Review B 99
2019
Closest in time.
M. R. Hirsbrunner, T. M. Philip, and M. J. Gilbert, Supplement to “Topology and observables of the non-Hermitian Chern insulator”, Phys. Rev. B (2019)
2019
Closest in time.