What happens to the quantum Hall effect when magnetic-field-induced spin-density wave moves

TL;DR

This paper theoretically investigates how the movement of a magnetic-field-induced spin-density wave affects the quantum Hall effect in quasi-one-dimensional conductors, revealing conditions under which the Hall conductivity vanishes.

Contribution

It introduces a theoretical model showing that the motion of FISDW can cancel the quantum Hall current, especially at high frequencies where damping is negligible.

Findings

Counterflow of FISDW cancels quantum Hall current in ideal cases.

Hall conductivity vanishes at high frequencies due to FISDW dynamics.

Inertia dominates FISDW behavior when pinning and damping are negligible.

Abstract

The influence of the motion of a magnetic-field-induced spin-density wave (FISDW) on the quantum Hall effect in a quasi-one-dimensional conductor is studied theoretically. In the ideal case of a free FISDW, it is found that the counterflow of the FISDW precisely cancels the quantum Hall current, so the resultant Hall conductivity is zero. In real systems, the Hall conductivity should vanish at the high frequencies, where the pinning and the damping can be neglected, and the dynamics of the FISDW is dominated by inertia.