Relaxation of Inter-Landau-level excitations in the Quatized Hall Regime

TL;DR

This paper investigates how inter-Landau-level excitations in a quantum Hall system relax via phonon emission or Auger processes, with implications for detecting magneto-rotons in strongly correlated 2D electron gases.

Contribution

It provides a detailed analysis of relaxation mechanisms of magneto-plasmons near the roton minimum at filling factor one, highlighting conditions affecting their decay.

Findings

Relaxation is dominated by LO-phonon emission or Auger processes.

Suppression of phonon emission occurs off magneto-phonon resonance.

Features identified could aid experimental detection of magneto-rotons.

Abstract

Relaxation of collective plasmon inter-Landau-level excitation is determined by emission of LO-phonons or by Auger-like processes when this emission is suppressed off the magneto-phonon resonance conditions. The decay of "one-cyclotron" magneto-plasmons with wave-vectors near the roton minimum is studied under the condition of filling $\nu=1$. Some features of this relaxation should be helpful for the experimental detection of the magneto-rotons in a strongly correlated 2D electron gas.