Suppression of one-dimensional weak localization by band asymmetry

Abstract

We investigate disorder-induced localization in metals that break time-reversal and inversion symmetries through their energy dispersion, ${\epsilon }_k\ne {\epsilon }_{-k}$, 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. Interestingly, for weak disorder strength $\eta$, we see a better fit to the scaling behavior $\xi \propto 1/{\eta }^2$ for asymmetric bands than conventional symmetric ones.

Added scaling of localization length with weak disorder

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Cited by in corpus (2)

• Josephson diode effect in junctions of superconductors with band asymmetric metals
• Enhanced Superconducting Diode Effect in the Asymmetric Hatsugai-Kohmoto Model