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  • Letter
  • Open Access

Robust correlation-induced localization under time-reversal symmetry breaking

Bikram Pain1,2,*, Sthitadhi Roy1,†, Jens H. Bardarson3, and Ivan M. Khaymovich4,‡

  • *Contact author: bikram.pain@icts.res.in
  • †Contact author: sthitadhi.roy@icts.res.in
  • ‡Contact author: ivan.khaymovich@gmail.com
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Phys. Rev. Research 8, L032037 – Published 31 August, 2026

DOI: https://doi.org/10.1103/34h6-sn4p

Abstract

We study Anderson localization in a one-dimensional disordered system with long-range correlated hopping decaying as 1/ra with complex hopping amplitudes that break time-reversal symmetry in a tunable fashion by varying their argument. We find analytically a corelation-induced algebraic localization that is robust to a finite strength of the time-reversal symmetry-breaking parameter, beyond which all states delocalize. This establishes a localization-delocalization transition driven by the interplay between long-ranged correlated hopping and time-reversal symmetry breaking. In addition to obtaining the static localization phase diagram, we also investigate the dynamical phase diagram through the lens of wave-packet spreading. We find that the growth in time of the mean-squared displacement of a wave packet, which is subdiffusive for the time-reversal symmetric case, becomes diffusive for any finite value of the time-reversal symmetry-breaking parameter.

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References (40)

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Phys. Rev. Research 8, L032037– Published 31 August, 2026
  • Received 21 April 2026
  • Accepted 25 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by Bibsam.

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