Theory of the dc Magnetotransport in Laterally Modulated Quantum Hall Systems Near Filling $\nu={1/2}$

TL;DR

This paper develops a quasiclassical theory for dc magnetotransport in modulated quantum Hall systems near filling factor 1/2, providing analytic expressions and numerical results that align with recent experimental findings.

Contribution

It introduces a new theoretical framework with closed-form solutions for resistivity components in modulated quantum Hall systems near filling 1/2.

Findings

Analytic expressions for resistivity components derived

Numerical results agree with experimental data

Both resistivity components are influenced by electrostatic modulation

Abstract

A quasiclassical theory for dc magnetotransport in a modulated quantum Hall system near filling factor $\nu={1/2}$ is presented. A weak one-dimensional electrostatic potential acts on the two-dimensional electron gas. Closed form analytic expressions are obtained for the resistivity $\rho_\perp$ corresponding to a current at right angles to the direction of the modulation lines as well as a smaller component $\rho_{||}$ for a current along the direction of the modulation lines. It is shown that both resistivity components are affected by the presence of the modulation. Numerical results are presented for $\rho_\perp$ and $\rho_{||}$ and show reasonable agreement with the results of recent experiments.