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This work unveils how geometric features of two-band non-Hermitian Hamiltonians can completely classify the topology of their eigenstates and energy manifolds.
1903
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2014
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2015
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2018
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Hui Jiang, Chao Yang, and Shu Chen, “Topological invariants and phase diagrams for one-dimensional two-band non-hermitian systems without chiral symmetry,” Phys. Rev. A 98
2018
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2017
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Ching Hua Lee, Martin Claassen, and Ronny Thomale, “Band structure engineering of ideal fractional chern insulators,” Physical Review B 96
2017
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2017
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2017
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Motohiko Ezawa, “Topological semimetals carrying arbitrary hopf numbers: Fermi surface topologies of a hopf link, solomon’s knot, trefoil knot, and other linked nodal varieties,” Physical Review B 96
2017
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2018
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2018
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Chuanhao Yin, Hui Jiang, Linhu Li, Rong Lü, and Shu Chen, “Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-hermitian systems,” Phys. Rev. A 97
2018
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2018
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2018
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2018
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2018
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2018
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Xinsheng Tan, Mengmeng Li, Danyu Li, Kunzhe Dai, Haifeng Yu, and Yang Yu, “Demonstration of hopf-link semimetal bands with superconducting circuits,” Applied Physics Letters 112
2018
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Ching Hua Lee and Ronny Thomale, “Anatomy of skin modes and topology in non-hermitian systems,” Phys. Rev. B 99
2019
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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
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Elisabet Edvardsson, Flore K. Kunst, and Emil J. Bergholtz, “Non-hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence,” Phys. Rev. B 99
2019
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2019
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Da-Jian Zhang, Qing-hai Wang, and Jiangbin Gong, “Quantum geometric tensor in 𝒫 𝒯 \mathcal{PT} -symmetric quantum mechanics,” Phys. Rev. A 99
2019
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