Related papers: Non-Hermitian skin effect enforced by nonsymmorphic symmetries

Non-Hermitian skin effect enforced by nonsymmorphic symmetries

URL: http://arxiv.org/abs/2306.08923v3
Date: Wed, 17 Jan 2024 01:13:46 GMT
Title: Non-Hermitian skin effect enforced by nonsymmorphic symmetries
Authors: Yutaro Tanaka, Ryo Takahashi, and Ryo Okugawa
Abstract summary: Crystal symmetries play an essential role in band structures of non-Hermitian Hamiltonian. We propose a non-Hermitian skin effect enforced by nonsymmorphic symmetries.
Score: 6.954556783677555
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Crystal symmetries play an essential role in band structures of non-Hermitian Hamiltonian. In this paper, we propose a non-Hermitian skin effect (NHSE) enforced by nonsymmorphic symmetries. We show that the NHSE inevitably occurs if a two-dimensional non-Hermitian system satisfies conditions derived from the nonsymmorphic symmetry of the doubled Hermitian Hamiltonian. This NHSE occurs in symmetry classes with and without time-reversal symmetry. The NHSE enforced by nonsymmorphic symmetries always occurs simultaneously with the closing of the point gap at zero energy. We also show that such a NHSE can occur in specific three-dimensional space groups with nonsymmorphic symmetries.

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