Light scattering from a periodically modulated two dimensional electron gas with partially filled Landau levels

TL;DR

This paper investigates how light scattering in a 2D electron gas with periodic modulation and partial Landau level filling reveals unique dielectric and spectral features, linking them to filling factors and modulation potential.

Contribution

It introduces a detailed analysis of dielectric discontinuities and new spectral peaks arising from partial Landau level filling in modulated 2D electron gases.

Findings

Discontinuities in dielectric function depend on partial filling factors.

New spectral peak appears for non-integer Landau level filling.

Discontinuity heights relate to modulation potential.

Abstract

We study light scattering from a periodically modulated two dimensional electron gas in a perpendicular magnetic field. If a subband is partially filled, the imaginary part of the dielectric function as a function of frequency contains additional discontinuities to the case of completely filled subbands. The positions of the discontinuities may be determined from the partial filling factor and the height of the discontinuity can be directly related to the modulation potential. The light scattering cross section contains a new peak which is absent for integer filling.