Amplitudes of Hall field-induced resistance oscillations with a two-harmonic density of states

Abstract

We derive explicit strong-field asymptotics for the normalized differential resistance in Hall field-induced resistance oscillations (HIRO) within the Vavilov-Aleiner-Glazman kinetic framework. For a single-harmonic density of states, the leading oscillation amplitude is set by the full backscattering rate $1/\tau (\pi )$. Extending the theory to a two-harmonic density of states, we show that the off-diagonal mixed kernel ${\gamma }_{12}$ admits an exact single-integral representation, from which the strong-field asymptotics follow directly. The resulting odd harmonics, notably $m=1$ and $m=3$, have coefficients determined by combinations of $1/\tau (0)$ and $1/\tau (\pi )$, while the leading $m=2$ amplitude remains unchanged. On exact-kernel mock data generated and fit within the same model, with ${\tau }_{\mathrm{tr}}$ and ${\tau }_{\mathrm{in}}$ held fixed, the resulting extraction protocol recovers ${\tau }_q$, $\tau (\pi )$, and -- when the $m=1,3$ harmonics are resolved -- $\tau (0)$ to sub-percent accuracy, with $\tau (0)$ providing a consistency check on the disorder description.

9 pages, REVTex two-columns, 4 figures