Auger-like Relaxation of Inter-Landau-Level Magneto-Plasmon Excitations in the Quantised Hall Regime

TL;DR

This paper investigates Auger-like relaxation processes of magnetoplasmon excitations in the quantum Hall regime, revealing conditions for their occurrence and proposing a method for indirect observation via Raman scattering.

Contribution

It introduces a novel Auger-like relaxation mechanism for magnetoplasmons in the quantum Hall regime and calculates its rate using the Excitonic Representation technique.

Findings

Auger-like coalescence of magnetoplasmons is energetically allowed near roton minima.

The process enables indirect observation of magnetorotons via anti-Stokes Raman scattering.

Calculated relaxation rates provide insight into magnetoplasmon dynamics.

Abstract

Auger relaxation in 2D strongly correlated electron gas can be represented as an Auger-like process for neutral magnetoplasmon excitations. The case of "dielectric" state with lack of free electrons (i.e. at integer filling $\nu$) is considered. Really the Auger-like process is a coalescence of two magnetoplasmons which are converted into a single one of a different plasmon mode with zero 2D wave-vector. This event turns out to be energetically allowed for magnetoplasmons near their roton minima where the spectrum has the infinite density of states. As a result the additional possibility appears for indirect observation of the magnetorotons by means of anti-Stokes Raman scattering. We find the rate of this process employing the technique of Excitonic Representation for the relevant matrix element calculation.