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  • Letter
  • Open Access

Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains

Sharareh Sayyad1,* and Jose L. Lado2

  • 1Max Planck Institute for the Science of Light, Staudtstraße 2, 91058 Erlangen, Germany
  • 2Department of Applied Physics, Aalto University, FI-00076 Aalto, Espoo, Finland

  • *sharareh.sayyad@mpl.mpg.de
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Phys. Rev. Research 5, L022046 – Published 2 June, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L022046

Abstract

Many-body interactions give rise to the appearance of exotic phases in Hermitian physics. Despite their importance, many-body effects remain an open problem in non-Hermitian physics due to the complexity of treating many-body interactions. Here, we present a family of exact and numerical phase diagrams for non-Hermitian interacting Kitaev chains. In particular, we establish the exact phase boundaries for the dimerized Kitaev-Hubbard chain with complex-valued Hubbard interactions. Our results reveal that some of the Hermitian phases disappear as non-Hermiticity is enhanced. Based on our analytical findings, we explore the regime of the model that goes beyond the solvable regime, revealing regimes where non-Hermitian topological degeneracy remains. The combination of our exact and numerical phase diagrams provides an extensive description of a family of non-Hermitian interacting models. Our results provide a stepping stone toward characterizing non-Hermitian topology in realistic interacting quantum many-body systems.

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Phys. Rev. Research 5, L022046– Published 2 June, 2023
  • Received 6 March 2023
  • Revised 11 May 2023
  • Accepted 15 May 2023
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