Suppression of one-dimensional weak localization by band asymmetry
arXiv:2302.13816 · doi:10.1103/PhysRevB.108.064211
Abstract
We investigate disorder-induced localization in metals that break time-reversal and inversion symmetries through their energy dispersion, , 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 , we see a better fit to the scaling behavior for asymmetric bands than conventional symmetric ones.
arXiv commentAdded scaling of localization length with weak disorder
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