Robust correlation-induced localization under time-reversal symmetry breaking
Abstract
We study Anderson localization in a one-dimensional disordered system with long-range correlated hopping decaying as 1 / r a 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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BibTeX
@article{pain2026robust,
title = {{Robust correlation-induced localization under time-reversal symmetry breaking}},
author = {Bikram Pain and Sthitadhi Roy and Jens Bardarson and Ivan M Khaymovich},
journal = {Physical Review Research},
year = {2026},
month = aug,
doi = {10.1103/34h6-sn4p},
eprint = {2604.02321},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05744397v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Robust correlation-induced localization under time-reversal symmetry breaking
AU - Bikram Pain
AU - Sthitadhi Roy
AU - Jens Bardarson
AU - Ivan M Khaymovich
PY - 2026
DA - 2026/08/31
JO - Physical Review Research
DO - 10.1103/34h6-sn4p
UR - https://hal.science/hal-05744397v1
AB - We study Anderson localization in a one-dimensional disordered system with long-range correlated hopping decaying as 1 / r a 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.
SN - 2643-1564
SN - 2643-1564
ER -