Article

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

12/2008; DOI:doi:10.1103/PhysRevB.60.7760
Source: arXiv

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. Comment: 4 pages

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### Keywords

anti-Stokes Raman scattering

Auger relaxation

Auger-like process

dielectric

different plasmon mode

Excitonic Representation

free electrons

magnetorotons

neutral magnetoplasmon excitations

relevant matrix element calculation

states