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

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2023-06-02
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en
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7
1-7
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PHYSICAL REVIEW RESEARCH, Volume 5, issue 2
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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Sayyad, S & Lado, J 2023, ' Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains ', PHYSICAL REVIEW RESEARCH, vol. 5, no. 2, L022046, pp. 1-7 . https://doi.org/10.1103/PhysRevResearch.5.L022046