Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system

• URL: http://arxiv.org/abs/2111.02223v3
• Date: Sat, 14 May 2022 04:44:50 GMT
• Title: Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Authors: Ayan Banerjee, Suraj S. Hegde, Adhip Agarwala, Awadhesh Narayan
• Abstract summary: We study many-body'steady states' that arise in the non-Hermitian generalisation of the non-interacting Su-Schrieffer-Heeger model at a finite density of fermions.
• Score: 4.3012765978447565
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this work we study many-body 'steady states' that arise in the non-Hermitian generalisation of the non-interacting Su-Schrieffer-Heeger model at a finite density of fermions. We find that the hitherto known phase diagrams for this system, derived from the single-particle gap closings, in fact correspond to distinct non-equilibrium phases, which either carry finite currents or are dynamical insulators where particles are entrapped. Each of these have distinct quasi-particle excitations and steady state correlations and entanglement properties. Looking at finite-sized systems, we further modulate the boundary to uncover the topological features in such steady states -- in particular the emergence of leaky boundary modes. Using a variety of analytical and numerical methods we develop a theoretical understanding of the various phases and their transitions, and uncover the rich interplay of non-equilibrium many-body physics, quantum entanglement and topology in a simple looking, yet a rich model system.

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