Goldstone-Mode Relaxation in a Quantized Hall Ferromagnet in the Presence of Smooth Random Potential

TL;DR

This paper investigates how spin relaxation occurs in a 2D electron gas in the quantum Hall regime, focusing on the effects of spin-orbit coupling and smooth disorder on the decay of a Goldstone-mode state.

Contribution

It introduces a detailed analysis of spin relaxation mechanisms involving spin excitons in a strongly correlated 2DEG near odd-integer filling factors, considering realistic disorder effects.

Findings

Spin relaxation is driven by annihilation of spin excitons.

Spin-orbit coupling significantly influences relaxation rates.

Smooth disorder impacts the decay process of the Goldstone mode.

Abstract

We discuss the spin relaxation of a strongly correlated two-dimensional (2D) electron gas (2DEG) in the quantized Hall regime when the filling factor is close to an odd-integer. As the initial state we consider a coherent deviation of the spin system from the ${\bf B}$ direction and investigate a break-down of this Goldstone-mode state due to the spin-orbit (SO) coupling and smooth disorder. The spin relaxation (SR) process is considered in terms of annihilation transitions in the system of spin excitons (magnons).