Nonsymmorphic Topological Phases of Non-Hermitian Systems

Fuente: arXiv
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Autori principali: Nakamura, Daichi, Tanaka, Yutaro, Shiozaki, Ken, Kawabata, Kohei
Natura: Preprint
Pubblicazione: 2025
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author Nakamura, Daichi
Tanaka, Yutaro
Shiozaki, Ken
Kawabata, Kohei
author_facet Nakamura, Daichi
Tanaka, Yutaro
Shiozaki, Ken
Kawabata, Kohei
contents Non-Hermiticity appears ubiquitously in various open classical and quantum systems and enriches classification of topological phases. However, the role of nonsymmorphic symmetry, crystalline symmetry accompanying fractional lattice translations, has remained largely unexplored. Here, we systematically classify non-Hermitian topological crystalline phases protected by nonsymmorphic symmetry and reveal unique phases that have no counterparts in either Hermitian topological crystalline phases or non-Hermitian topological phases protected solely by internal symmetry. Specifically, we elucidate the $\mathbb{Z}_2$ and $\mathbb{Z}_4$ non-Hermitian topological phases and their associated anomalous boundary states characterized by distinctive complex-valued energy dispersions.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20743
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonsymmorphic Topological Phases of Non-Hermitian Systems
Nakamura, Daichi
Tanaka, Yutaro
Shiozaki, Ken
Kawabata, Kohei
Mesoscale and Nanoscale Physics
Mathematical Physics
Quantum Physics
Non-Hermiticity appears ubiquitously in various open classical and quantum systems and enriches classification of topological phases. However, the role of nonsymmorphic symmetry, crystalline symmetry accompanying fractional lattice translations, has remained largely unexplored. Here, we systematically classify non-Hermitian topological crystalline phases protected by nonsymmorphic symmetry and reveal unique phases that have no counterparts in either Hermitian topological crystalline phases or non-Hermitian topological phases protected solely by internal symmetry. Specifically, we elucidate the $\mathbb{Z}_2$ and $\mathbb{Z}_4$ non-Hermitian topological phases and their associated anomalous boundary states characterized by distinctive complex-valued energy dispersions.
title Nonsymmorphic Topological Phases of Non-Hermitian Systems
topic Mesoscale and Nanoscale Physics
Mathematical Physics
Quantum Physics
url https://arxiv.org/abs/2504.20743