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arXiv · 2605.22227

Quantum-metric Bloch oscillations in weakly inhomogeneous electric fields

M. Maneesh Kumar·Md Kaif Faiyaz·Sayan Sarkar·Amit Agarwal
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Abstract

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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M. Maneesh Kumar, Md Kaif Faiyaz, Sayan Sarkar, Amit Agarwal. 2026-05-21. Quantum-metric Bloch oscillations in weakly inhomogeneous electric fields. https://arxiv.org/abs/2605.22227

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