Topological insulating phase for anti-Hermitian Hamiltonians |
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Institution: | 1. Laboratoire de Physique Quantique et Systemes Dynamiques, Faculte des Sciences, Universite Ferhat Abbas Setif 1, Setif 19000, Algeria;2. Department of Physics, Faculty of Science, Eskisehir Technical University, Eskisehir, 26555, Turkey |
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Abstract: | We study classification of anti-Hermitian topological insulators based on the discrete symmetries: time-reversal, particle-hole and chiral symmetries. Contrary to the most general form of non-Hermitian systems, bulk boundary correspondence can hold in anti-Hermitian topological systems. We map a topologically nontrivial Hermitian Hamiltonians into an anti-Hermitian system and we show that the standard table of topological insulators can be used for anti-Hermitian Hamiltonians. |
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Keywords: | Non-Hermitian topological insulator PT symmetry |
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