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Main Authors: Kumar, M. Maneesh, Faiyaz, Md Kaif, Sarkar, Sayan, Agarwal, Amit
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.22227
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author Kumar, M. Maneesh
Faiyaz, Md Kaif
Sarkar, Sayan
Agarwal, Amit
author_facet Kumar, M. Maneesh
Faiyaz, Md Kaif
Sarkar, Sayan
Agarwal, Amit
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_22227
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum-metric Bloch oscillations in weakly inhomogeneous electric fields
Kumar, M. Maneesh
Faiyaz, Md Kaif
Sarkar, Sayan
Agarwal, Amit
Mesoscale and Nanoscale Physics
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.
title Quantum-metric Bloch oscillations in weakly inhomogeneous electric fields
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2605.22227