Surface acoustic waves (SAWs) become a popular driving source in modern condensed matter physics, but most existing theories simplify them as electric fields and ignore the non-uniform Brillouin zone folding effect. We develop a semiclassical framework and reconstruct the electron dynamics by treating SAW as a quasi-periodic potential modulating electronic momentum distribution. This framework naturally explains the experimentally observed DC drag current and predicts acousto-electric Hall effect. The theory further reveals various SAW-driven transport phenomena, emerging anomalous Hall, thermal Hall, and Nernst effects within time-reversal symmetric systems. Illustrated in bilayer graphene and MX2 (M = Mo, W; X = S, Se, Te), the angular-dependent acousto-electric Hall effect provides an experimental probe for Berry curvature distribution.
@article{arxiv.2603.24102,
title = {Electron Dynamics Reconstruction and Nontrivial Transport by Acoustic Waves},
author = {Zi-Qian Zhou and Zhi-Fan Zhang and Cong Xiao and Hua Jiang and X. C. Xie},
journal= {arXiv preprint arXiv:2603.24102},
year = {2026}
}