Robust correlation-induced localization under time-reversal symmetry breaking

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.