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    Quantum-metric Bloch oscillations in weakly inhomogeneous electric fields

    M. Maneesh Kumar*, Md Kaif Faiyaz, Sayan Sarkar, and Amit Agarwal†

    • *Contact author: mmkr20@iitk.ac.in
    • †Contact author: amitag@iitk.ac.in

    Phys. Rev. B 114, 245422 – Published 28 October, 2026

    DOI: https://doi.org/10.1103/vffm-zsd1

    Abstract

    The geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory real-space contribution even when the Berry curvature vanishes. The associated transport response comprises an intrinsic and a scattering-time-dependent part. In the regime studied, the latter can dominate and approach finite saturation at high field when the relative field inhomogeneity is held fixed. A tilted Dirac model illustrates the mechanism. Realistic platforms will likely require synthetically engineered superlattices, with a finite quantum metric and an adequate band gap.

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