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    Longitudinal nonreciprocal charge transport with time-reversal symmetry

    Harsh Varshney* and Amit Agarwal†

    • *Contact author: hvarshny@iitk.ac.in
    • †Contact author: amitag@iitk.ac.in

    Phys. Rev. B 114, 225419 – Published 26 October, 2026

    DOI: https://doi.org/10.1103/hzd6-3m82

    Abstract

    Longitudinal nonreciprocal charge transport is usually associated with broken time-reversal symmetry, either from magnetic order or an external magnetic field. Here, we show that it can also arise in nonmagnetic conductors preserving time-reversal symmetry through disorder-induced asymmetric scattering. Within a semiclassical Boltzmann theory, skew-scattering and side-jump processes generate a finite longitudinal current quadratic in the electric field. Our symmetry analysis identifies 42 point groups that allow this longitudinal nonreciprocal response. As a concrete example, gated Bernal-stacked bilayer graphene exhibits a gate-tunable nonreciprocal response, with a clear enhancement near its van Hove singularities. These results identify disorder-driven asymmetric scattering as a route to bulk longitudinal nonreciprocal charge transport in crystalline conductors.

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