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 $1/\tau \left(\pi \right)$. 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 $1/\tau \left(0\right)$ and $1/\tau \left(\pi \right)$, 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 ${\tau }_q, \tau \left(\pi \right)$, and—when the $m=1,3$ harmonics are resolved—$\tau \left(0\right)$ to subpercent accuracy, with $\tau \left(0\right)$ providing a consistency check on the disorder description.

Close

PrevNext

View figure in article

• Density of states
• Hall effect
• Landau levels
• Magnetoresistance
• Quantum transport
• Two-dimensional electron gas
• Boltzmann theory
• Methods in transport