• DOI:10.1103/PhysRevB.106.205147
• Corpus ID: 248887783

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

@inproceedings{Yoshida2022ReductionOO,
  title={Reduction of one-dimensional non-Hermitian point-gap topology by correlations},
  author={Tsuneya Yoshida and Yasuhiro Hatsugai},
  year={2022}
}

• Tsuneya Yoshida, Y. Hatsugai
• Published 19 May 2022
• Physics

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 exhibits striking correlation effects; correlations destroy the skin effect at the non-interacting level. This fragility of the skin effect against interactions is consistent with the reduction of the point-gap topology in the one spatial dimension. The above discoveries shed new light on the topology of correlated systems and open up new directions of researches on non-Hermitian topological physics.