Intrinsic non-Hermitian topological phases

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1. Verfasser: Shiozaki, Ken
Format: Preprint
Veröffentlicht: 2025
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author Shiozaki, Ken
author_facet Shiozaki, Ken
contents We study the interplay of non-Hermitian topological phases under point- and line-gap conditions. Using natural homomorphisms from line-gap to point-gap phases, we distinguish extrinsic phases, reducible to Hermitian or anti-Hermitian line-gapped phases, from intrinsic phases, which are genuinely non-Hermitian without Hermitian counterparts. Although classification tables for all symmetry classes were already presented in earlier work, the present paper develops a unified formulation and provides explicit computations for all internal symmetries.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06879
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Intrinsic non-Hermitian topological phases
Shiozaki, Ken
Quantum Physics
Mesoscale and Nanoscale Physics
We study the interplay of non-Hermitian topological phases under point- and line-gap conditions. Using natural homomorphisms from line-gap to point-gap phases, we distinguish extrinsic phases, reducible to Hermitian or anti-Hermitian line-gapped phases, from intrinsic phases, which are genuinely non-Hermitian without Hermitian counterparts. Although classification tables for all symmetry classes were already presented in earlier work, the present paper develops a unified formulation and provides explicit computations for all internal symmetries.
title Intrinsic non-Hermitian topological phases
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2509.06879