Parity-induced generalized Brillouin zone without non-Hermitian skin effect

Fuente: arXiv
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Main Author: Felski, Alexander
Format: Preprint
Published: 2026
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author Felski, Alexander
author_facet Felski, Alexander
contents Acute spectral sensitivity to boundary conditions and the formation of a generalized Brillouin zone associated with complex quasimomenta are features frequently attributed to systems with non-trivial non-Hermitian topology, showcasing the non-Hermitian skin effect. We show that, away from the thermodynamic limit, these features themselves are not uniquely tied to this phenomenon; they can similarly arise as parity-induced even-odd effects in non-Hermitian systems without skin effect. Despite an underlying generalized Brillouin zone description, wavefunctions remain delocalized. In addition, the effect can arise in skin-effect models as entirely separate distinguishable feature
format Preprint
id arxiv_https___arxiv_org_abs_2605_30978
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Parity-induced generalized Brillouin zone without non-Hermitian skin effect
Felski, Alexander
Mesoscale and Nanoscale Physics
Quantum Physics
Acute spectral sensitivity to boundary conditions and the formation of a generalized Brillouin zone associated with complex quasimomenta are features frequently attributed to systems with non-trivial non-Hermitian topology, showcasing the non-Hermitian skin effect. We show that, away from the thermodynamic limit, these features themselves are not uniquely tied to this phenomenon; they can similarly arise as parity-induced even-odd effects in non-Hermitian systems without skin effect. Despite an underlying generalized Brillouin zone description, wavefunctions remain delocalized. In addition, the effect can arise in skin-effect models as entirely separate distinguishable feature
title Parity-induced generalized Brillouin zone without non-Hermitian skin effect
topic Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2605.30978