Crossover of the Hall-voltage distribution in AC quantum Hall effect

TL;DR

This paper theoretically investigates how the Hall-voltage distribution in AC quantum Hall systems transitions from uniform to edge-concentrated as frequency increases or conductivity decreases, affecting AC magnetoresistance.

Contribution

It reveals a frequency-dependent crossover in Hall-voltage distribution and its impact on AC magnetoresistance in quantum Hall systems.

Findings

Hall-voltage distribution shifts from uniform to edge-concentrated with increasing frequency.

Crossover depends on the diagonal conductivity of the system.

AC magnetoresistance exhibits frequency-dependent behavior linked to voltage distribution.

Abstract

The distribution of the Hall voltage induced by low-frequency AC current is studied theoretically in the incoherent linear transport of quantum Hall systems. It is shown that the Hall-voltage distribution makes a crossover from the uniform distribution to a concentrated-near-edges distribution as the frequency is increased or the diagonal conductivity is decreased. This crossover is also reflected in the frequency dependence of AC magnetoresistance.