Non-Hermitian bulk-boundary correspondence via scattering theory

• URL: http://arxiv.org/abs/2302.07148v1
• Date: Tue, 14 Feb 2023 15:57:32 GMT
• Title: Non-Hermitian bulk-boundary correspondence via scattering theory
• Authors: Haoshu Li and Qian Niu
• Abstract summary: We reestablish the bulk-boundary correspondence in one-dimensional non-Hermitian systems by applying the scattering theory. We unveil a new type of topological phase transition without typical bulk enengy gap closing and an unstable phase with topological boundary states.
• Score: 0.304585143845864
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The conventional bulk-boundary correspondence breaks down in non-Hermitian systems. In this paper, we reestablish the bulk-boundary correspondence in one-dimensional non-Hermitian systems by applying the scattering theory, which is a systematical way in various symmetry classes. Based on the scattering theory, it is discovered that the topological invariant can be obtained by solving a generalized eigenproblem without calculating the generalized Brillouin zone. As a direct consequence, we unveil a new type of topological phase transition without typical bulk enengy gap closing and an unstable phase with topological boundary states, dubbed the critical topological phase.

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