Robust correlation-induced localization under time-reversal symmetry breaking
Year: 2026
Type: article
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.
Source: Physical Review Research
DOI: 10.1103/34h6-sn4p
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Funders: European Commission, Tata Institute of Fundamental Research, Department of Science and Technology, Ministry of Science and Technology, India, Department of Atomic Energy, Government of India, Agence Nationale de la Recherche, Knut och Alice Wallenbergs Stiftelse, Vetenskapsrådet, Science and Engineering Research Board, H2020 European Research Council
Awards: G1021662744, Multifractality in Quantum world: myth or reality?, The localization frontier---from many-body localization to amorphous topological matter via the landscape, G2487168033, Topological nanowires: from fundamentals to application, G4319685356, G4713563625, G7026481055, G788393335, G8724963187
OpenAlex ID: W7165860017