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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