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  • Letter

Non-Hermitian skin effects on thermal and many-body localized phases

Yi-Cheng Wang1,2,*, Kuldeep Suthar1,3,*, H. H. Jen1,4, Yi-Ting Hsu5,†, and Jhih-Shih You6,‡

  • 1Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan
  • 2Department of Physics, National Taiwan University, Taipei 10617, Taiwan
  • 3Department of Physics, Central University of Rajasthan, Ajmer 305817, Rajasthan, India
  • 4Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan
  • 5Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA
  • 6Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan

  • *These authors contributed equally to this work.
  • †Corresponding author: yhsu2@nd.edu
  • ‡Corresponding author: jhihshihyou@ntnu.edu.tw
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Phys. Rev. B 107, L220205 – Published 26 June, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L220205

Abstract

Localization in one-dimensional interacting systems can be caused by disorder potentials or non-Hermiticity. The former phenomenon is the many-body localization (MBL), and the latter is the many-body non-Hermitian skin effect (NHSE). In this work, we numerically investigate the interplay between these two kinds of localization, where the energy-resolved MBL arises from a deterministic quasiperiodic potential in a fermionic chain. We propose a set of eigenstate properties and long-time dynamics that collectively distinguish the two localization mechanisms in the presence of non-Hermiticity. By computing the proposed diagnostics, we show that the thermal states are vulnerable to the many-body NHSE while the MBL states remain resilient up to a strong non-Hermiticity. Finally, we discuss experimental observables that probe the difference between the two localizations in a non-Hermitian quasiperiodic fermionic chain. Our results pave the way toward experimental observations on the interplay of interaction, quasiperiodic potential, and non-Hermiticity.

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Phys. Rev. B 107, L220205– Published 26 June, 2023
  • Received 31 January 2023
  • Revised 13 June 2023
  • Accepted 13 June 2023
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