Fetching the paper…
Reading the bibliography…
Topological materials exhibit edge-localized scattering-free modes protected by their nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems.
T. Kato, Perturbation Theory for Linear Operators, Springer, New York, 1966
1966
Earlier work this paper cites.
Klitzing, K. v., Dorda, G., & Pepper, M. New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance. Phys. Rev. Lett
1980
Earlier work this paper cites.
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & Nijs, M. D. Quantized Hall Conductance in a Two-Dimensional Periodic Potential. Phys. Rev. Lett
1982
Earlier work this paper cites.
Toner, J. & Tu, Y. Long-Range Order in a Two-Dimensional Dynamics XY model: How Birds Fly Together. Phys. Rev. Lett
1995
Earlier work this paper cites.
Vicsek, T., Czirók A., Ben-Jacob, E., Cohen, I., & Shochet, O. Novel Type of Phase Transition in a System of Self-Driven Particles. Phys. Rev. Lett
1995
Earlier work this paper cites.
Altland, A. & Zirnbauer, M. R. Nonstandard Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures. Phys. Rev. B
1997
Earlier work this paper cites.
Persson, E., Rotter, I., Stöckmann, H.-J., & Barth, M. Observation of Resonance Trapping in an Open Microwave Cavity. Phys. Rev. Lett
2000
Earlier work this paper cites.
Dembowski, C. et al., Experimental Observation of the Topological Structure of Exceptional Points. Phys. Rev. Lett
2001
Earlier work this paper cites.
Mostafazadeh A. Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. J. Math. Phys
2002
Earlier work this paper cites.
Bernard, D. & LeClair, A. A Classification of Non- Hermitian Random Matrices. in Statistical Field Theories
2002
Earlier work this paper cites.
Bernard, D. & LeClair, A. A classification of 2D random Dirac fermions. J. Phys. A: Math. Gen
2002
Earlier work this paper cites.
Kane, C. L. & Mele, E. J. Z 2 {Z}_{2} Topological Order and the Quantum Spin Hall Effect. Phys. Rev. Lett
2005
Earlier work this paper cites.
Ruschhaupt, A., Delgado, F., & Muga, J. G. Physical realization of PT-symmetric potential scattering in a planar slab waveguide. J. Phys. A
2005
Earlier work this paper cites.
DiLuzio, W. R. et al., Escherichia coli swim on the right-hand side. Nature
2005
Earlier work this paper cites.
Fukui, T., Hatsugai, Y., & Suzuki, H. Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances. J. Phys. Soc. of Jpn
2005
Earlier work this paper cites.
Bernevig B. A., Hughes T. L., & Zhang, S. C. Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells. Science
2006
Earlier work this paper cites.
Qi X. L., Wu Y. S., & Zhang S. C. Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors. Phys. Rev. B
2006
Earlier work this paper cites.
Bertin, E., Droz, M., & Grégoire, G. Boltzmann and hydrodynamic description for self-propelled particles. Phys. Rev. E
2006
Earlier work this paper cites.
El-Ganainy, Makris, R., K. G., Christodoulides, D. N., & Musslimani, Z. H. Theory of coupled optical PT-symmetric structures. Opt. Lett
2007
Earlier work this paper cites.
Li, G., Tam, L. K., & Tang, J. X. Amplified effect of Brownian motion in bacterial near-surface swimming. Proc. Natl. Acad. Sci. USA
2008
Earlier work this paper cites.
Kitaev, A. Periodic table for topological insulators and superconductors. AIP Conference Proceedings
2009
Earlier work this paper cites.
Hazan, M. Z. & Kane, C. L. Colloquium: Topological insulators. Rev. Mod. Phys
2010
Earlier work this paper cites.
Rüter, C. E. et al., Observation of parity–time symmetry in optics. Nat. Phys
2010
Earlier work this paper cites.
Longhi, S. 𝒫 𝒯 \mathcal{PT} -symmetric laser absorber. Phys. Rev. A
2010
Earlier work this paper cites.
Schindler, J., Li, A., Zheng, M. C., Ellis, F. M., & Kottos, T., Experimental study of active LRC circuits with 𝒫 𝒯 \mathcal{PT} symmetries. Phys. Rev. A
2011
Earlier work this paper cites.
Hu, Y. C. & Hughes, T. L. Absence of topological insulator phases in non-Hermitian P T PT -symmetric Hamiltonians. Phys. Rev. B
2011
Cited alongside, same era.
Esaki, K., Sato, M., Hasebe, K., & Kohmoto, M. Edge states and topological phases in non-Hermitian systems. Phys. Rev. B
2011
Cited alongside, same era.
Lin, Z. et al., Unidirectional Invisibility Induced by 𝒫 𝒯 \mathcal{P}\mathcal{T} -Symmetric Periodic Structures. Phys. Rev. Lett
2011
Cited alongside, same era.
Xu, G., Weng, H., Wang, Z., Dai, X., & Fang, Z. Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 {\mathrm{HgCr}}_{2}{\mathrm{Se}}_{4} . Phys. Rev. Lett
2011
Cited alongside, same era.
Fürthauer, S., Strempel, M., Grill, S. W. & Jülicher, F. Active chiral fluids. Eur. Phys. J. E
2012
Cited alongside, same era.
Xiong, Y. Why does bulk boundary correspondence fail in some non-hermitian topological models. J. Phys. Commun
2018
Later among the works it cites.
Yao, S. & Wang, Z. Edge States and Topological Invariants of Non-Hermitian Systems. Phys. Rev. Lett
2018
Later among the works it cites.
Harari, G. et al., Topological insulator laser: Theory. Science
2018
Later among the works it cites.
Bandres, M. A. et al., Topological insulator laser: Experiments. Science
2018
Later among the works it cites.
Armitage, N. P., Mele, E. J., & Vishwanath, A. Weyl and Dirac semimetals in three-dimensional solids. Rev. Mod. Phys
2018
Later among the works it cites.
Dasbiswas, K., Mandadapu, K. K., & Vaikuntanathan, S. Topological localization in out-of-equilibrium dissipative systems. Proc. Natl. Acad. Sci. USA
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Trescher, M. & Bergholtz, E. J. Flat bands with higher Chern number in pyrochlore slabs. Phys. Rev. B
2012
Cited alongside, same era.
Liu, Z., Bergholtz, E. J., Fan, H., & Läuchli, A. M. Fractional Chern Insulators in Topological Flat Bands with Higher Chern Number. Phys. Rev. Lett
2012
Cited alongside, same era.
Ando, Y. Topological Insulator Materials. J. Phys. Soc. Jpn
2013
Cited alongside, same era.
Kane, C. L. & Lubensky, T. C. Topological boundary modes in isostatic lattices. Nat. Phys
2013
Cited alongside, same era.
Matsuura, S., Chang, P. Y., Schnyder, A. P., & Ryu, S. Protected boundary states in gapless topological phases. New J. Phys
2013
Cited alongside, same era.
Marchetti, M. C. et al., Hydrodynamics of soft active matter. Rev. Mod. Phys
2013
Cited alongside, same era.
Kümmel, F. et al., Circular Motion of Asymmetric Self-Propelling Particles. Phys. Rev. Lett
2013
Cited alongside, same era.
2018
Later among the works it cites.
Ai, B., Shao, Z., & Zhong, W. Mixing and demixing of binary mixtures of polar chiral active particles. Soft Matter
2018
Later among the works it cites.
Zhou, H. et al., Observation of bulk Fermi arc and polarization half charge from paired exceptional points. Science
2018
Later among the works it cites.
Zhao, H. et al., Non-Hermitian topological light steering. Science
2019
Closest in time.
Li, J. et al., Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms. Nat. Commun
2019
Closest in time.
Ezawa, M. Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits. Phys. Rev. B
2019
Closest in time.
Lee, C. H. & Thomale, R. Anatomy of skin modes and topology in non-Hermitian systems. Phys. Rev. B
2019
Closest in time.
Yokomizo, K. & Murakami, S. Non-Bloch Band Theory of Non-Hermitian Systems. Phys. Rev. Lett
2019
Closest in time.
Zhou, H. & Lee, J. Y. Periodic table for topological bands with non-Hermitian symmetries. Phys. Rev. B
2019
Closest in time.
Kawabata, K., Shiozaki, K., Ueda, M., & Sato M. Symmetry and Topology in Non-Hermitian Physics. Phys. Rev. X
2019
Closest in time.
Okugawa, R. & Yokoyama, T. Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries. Phys. Rev. B
2019
Closest in time.
Budich, J. C., Carlström, J., Kunst, F. K., & Bergholtz, E. J. Symmetry-protected nodal phases in non-Hermitian systems. Phys. Rev. B
2019
Closest in time.
Kawabata, K., Bessho, T., & Sato M. Classification of Exceptional Points and Non-Hermitian Topological Semimetals. Phys. Rev. Lett
2019
Closest in time.
Souslov, A., Dasbiswas, K., Fruchart, M., Vaikuntanathan, S., & Vitelli, V. Topological Waves in Fluids with Odd Viscosity. Phys. Rev. Lett
2019
Closest in time.
Sone, K. & Ashida, Y. Anomalous Topological Active Matter. Phys. Rev. Lett
2019
Closest in time.
Bal, G. Continuous bulk and interface description of topological insulators. J. Math. Phys
2019
Closest in time.
Borgnia, D. S., Kruchkov, A. J., & Slager, R. J. Non-Hermitian Boundary Modes and Topology. Phys. Rev. Lett
2020
Closest in time.
Song, A. Y. et al., 𝒫 𝒯 \mathcal{P}\mathcal{T} -Symmetric Topological Edge-Gain Effect. Phys. Rev. Lett
2020
Closest in time.
Yang, X., Ren, C., Cheng, K., & Zhang, H. P. Robust boundary flow in chiral active fluid. Phys. Rev. E
2020
Closest in time.
Bär, M., Großmann, R., Heidenreich, S., & Peruani, F., Self-Propelled Rods: Insights and Perspectives for Active Matter. Annu. Rev. Condens. Matter Phys
2020
Closest in time.