• Accepted Paper

Thermal effect on the anomaly-induced electromechanical response in gapped graphene

A. Sedrakyan and K. Ziegler

Phys. Rev. B - Accepted 9 November, 2026

DOI: https://doi.org/10.1103/g3f7-fh3l

Abstract

We calculate the finite-temperature local mixed Hall coefficient of gapped graphene in a clean, noninteracting Dirac model. It relates a deformation-induced pseudo-electric field to a transverse charge current. Fermi occupations round the zero-temperature band-edge cusp into a crossover whose normalized line shape is fixed by T/|m| and μ/|m|, where 2|m| is the gap. The insulating plateau is exponentially stable away from the edge. In a window of order T about the band edge, the leading loss of plateau weight is (T/|m|)ln[1+exp((|μ|−|m|)/T)]. Farther into a band, the leading thermal correction increases the magnitude of the response quadratically in T. We apply this result to two previously proposed drives, a traveling flexural wave and a dynamic phonon mixed with a static ripple. Their second-harmonic and fundamental-frequency signals probe the same intrinsic thermal dependence. We also give the electrostatic mapping needed to compare this prediction with gate-voltage sweeps.

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