{ "id": "2302.13816", "version": "v1", "published": "2023-02-27T14:25:40.000Z", "updated": "2023-02-27T14:25:40.000Z", "title": "Suppression of one-dimensional weak localization by band asymmetry", "authors": [ "Kartikeya Arora", "Rajeev Singh", "Pavan Hosur" ], "categories": [ "cond-mat.dis-nn", "quant-ph" ], "abstract": "We investigate disorder-induced localization in metals that break time-reversal and inversion symmetries through their energy dispersion, $\\epsilon_{k}\\neq\\epsilon_{-k}$, but lack Berry phases. In the perturbative regime of disorder, we show that weak localization is suppressed due to a mismatch of the Fermi velocities of left and right movers. To substantiate this analytical result, we perform quench numerics on chains shorter than the Anderson localization length -- the latter computed and verified to be finite using the recursive Green's function method -- and find a sharp rise in the saturation value of the participation ratio due to band asymmetry, indicating a tendency to delocalize.", "revisions": [ { "version": "v1", "updated": "2023-02-27T14:25:40.000Z" } ], "analyses": { "keywords": [ "one-dimensional weak localization", "band asymmetry", "suppression", "lack berry phases", "perform quench numerics" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }