Many-body topology of non-Hermitian systems

• URL: http://arxiv.org/abs/2202.02548v2
• Date: Thu, 17 Mar 2022 15:22:46 GMT
• Title: Many-body topology of non-Hermitian systems
• Authors: Kohei Kawabata, Ken Shiozaki, Shinsei Ryu
• Abstract summary: We show that the intrinsic non-Hermitian topological phases in one dimension survive even in the presence of many-body interactions. As an illustrative example, we investigate the interacting Hatano-Nelson model and find a unique topological phase and skin effect induced by many-body interactions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Hermiticity gives rise to unique topological phases that have no counterparts in Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one dimension while no topological phases appear in one-dimensional Hermitian systems. Despite the recent considerable interest, the intrinsic non-Hermitian topological phases have been mainly investigated in noninteracting systems described by band theory. It has been unclear whether they survive or reduce in the presence of many-body interactions. Here, we demonstrate that the intrinsic non-Hermitian topological phases in one dimension survive even in the presence of many-body interactions. We formulate a many-body topological invariant by the winding of the complex-valued many-body spectrum in terms of a U (1) gauge field (magnetic flux). As an illustrative example, we investigate the interacting Hatano-Nelson model and find a unique topological phase and skin effect induced by many-body interactions.

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