Topological Invariant for Multi-Band Non-hermitian Systems with Chiral
Symmetry
- URL: http://arxiv.org/abs/2303.05053v1
- Date: Thu, 9 Mar 2023 06:07:59 GMT
- Title: Topological Invariant for Multi-Band Non-hermitian Systems with Chiral
Symmetry
- Authors: ChunChi Liu and LiuHao Li and Jin An
- Abstract summary: A one-dimensional topological invariant defined on a generalized Brillion zone(GBZ) was recently found to successfully describe the topological property of the two-band Su-Schrieffer-Heeger model.
We show in this letter by exact proof and detailed demonstration that to acquire the topological invariant for multi-band non-hermitian models with chiral symmetry, the GBZ as the integral domain should be replaced by a more generalized closed loop.
- Score: 1.1172382217477128
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Topology plays an important role in non-hermitian systems. How to
characterize a non-hermitian topological system under open-boundary
conditions(OBCs) is a challenging problem. A one-dimensional(1D) topological
invariant defined on a generalized Brillion zone(GBZ) was recently found to
successfully describe the topological property of the two-band
Su-Schrieffer-Heeger model. But for a 1D multi-band chiral symmetric system
under OBCs, it is still controversial how to define the topological invariant.
We show in this letter by exact proof and detailed demonstration that to
acquire the topological invariant for multi-band non-hermitian models with
chiral symmetry, the GBZ as the integral domain should be replaced by a more
generalized closed loop. Our work thus establishes the non-Bloch bulk-boundary
correspondence for 1D multi-band chiral symmetric non-hermitian systems.
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