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arXiv · 2509.06879

Intrinsic non-Hermitian topological phases

Ken Shiozaki
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Abstract

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.

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Ken Shiozaki. 2025-09-08. Intrinsic non-Hermitian topological phases. https://doi.org/10.21468/scipostphyscore.9.1.011

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