Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification

Abstract

We analyze a zero-dimensional correlated system with special emphasis on the non-Hermitian point-gap topology protected by chiral symmetry. Our analysis elucidates that correlations destroy an exceptional point on a topological transition point which separates two topological phases in the non-interacting case; one of them is characterized by the zero-th Chern number $N_{0\mathrm{Ch}}=0$, and the other is characterized by $N_{0\mathrm{Ch}}=2$. This fact implies that correlations allow to continuously connect the two distinct topological phases in the non-interacting case without closing the point-gap, which is analogous to the reduction of topological classifications by correlations in Hermitian systems. Furthermore, we also discover a Mott exceptional point, an exceptional point where only spin degrees of freedom are involved.

Revised version, 10 pages 9 figures

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Cited by in corpus (13)

• Many-body topology of non-Hermitian systems
• Non-Hermitian skin clusters from strong interactions
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Mott Skin Effect
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Fate of exceptional points under interactions: Reduction of topological classifications
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Multifractality of many-body non-Hermitian skin effect
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Interaction-Induced Second-Order Skin Effect