Reduction of one-dimensional non-Hermitian point-gap topology by correlations

  title={Reduction of one-dimensional non-Hermitian point-gap topology by correlations},
  author={Tsuneya Yoshida and Yasuhiro Hatsugai},
In spite of extensive works on the non-Hermitian topology, correlations effects remain crucial questions. We hereby analyze correlated non-Hermitian systems with special emphasis on the one-dimensional point-gap topology. Specifically, our analysis elucidates that correlations result in reduction of the topological classification Z × Z → Z for systems of one synthetic dimension with charge U(1) symmetry and spin-parity symmetry. Furthermore, we analyze an extended Hatano-Nelson chain which… 

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