The topological counterparts of non-Hermitian SSH models

Abstract

The breakdown of the conventional bulk-boundary correspondence due to non-Hermitian skin effect leads to the non-Bloch bulk-boundary correspondence in the generalized Brillouin zone. Inspired by the case of the equivalence between the non-reciprocal hopping and imaginary gauge field, we propose a method to construct the topological equivalent models of the non-Hermitian dimerized lattices with the similarity transformations. The idea of the constructions is from that the imaginary magnetic flux vanishes under the open boundary condition and the period boundary spectra can be well approximated by open boundary spectra. As an illustration, we apply this approach to several representative non-Hermitian SSH models, efficiently obtaining topological invariants in analytic form defined in the conventional Bloch bands. The method gives an alternative way to study the topological properties of non-Hermitian system.

arXiv comment9 pages, 3 figures

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Cited by in corpus (3)

• Localization and topological transitions in generalized non-Hermitian SSH models
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes