Reduction of one-dimensional non-Hermitian point-gap topology by correlations

• URL: http://arxiv.org/abs/2205.09333v1
• Date: Thu, 19 May 2022 06:07:34 GMT
• Title: Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Authors: Tsuneya Yoshida and Yasuhiro Hatsugai
• Abstract summary: We analyze correlated non-Hermitian systems with special emphasis on the one-dimensional point-gap topology. Our analysis elucidates that correlations result in reduction of the topological classification $mathbbZtimes mathbbZ to mathbbZ$ for systems of one synthetic dimension.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In spite of extensive works on the non-Hermitian topology, correlations effects remain crucial questions. We hereby analyze correlated non-Hermitian systems with special emphasis on the one-dimensional point-gap topology. Specifically, our analysis elucidates that correlations result in reduction of the topological classification $\mathbb{Z}\times \mathbb{Z} \to \mathbb{Z}$ for systems of one synthetic dimension with charge $\mathrm{U(1)}$ symmetry and spin-parity symmetry. Furthermore, we analyze an extended Hatano-Nelson chain which exhibits striking correlation effects; correlations destroy the skin effect at the non-interacting level. This fragility of the skin effect against interactions is consistent with the reduction of the point-gap topology in the one spatial dimension. The above discoveries shed new light on the topology of correlated systems and open up new directions of researches on non-Hermitian topological physics.

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