Finite size effects in the far-infrared absorption of a confined 2DEG

Sigurdur I. Erlingsson
Science Institute, University of Iceland,
IS-107 Reykjavik, Iceland.
e-mail:sie@raunvis.hi.is

In this master's thesis we investigate the far-infrared absorption of a laterally confined 2DEG. Different modulation potential can be applied to the system in addition to a perpendicular magnetic field. The electron-electron interaction is calculated in the Hartree approximation. We focus on the interplay of system size, i.e. the size of the confining area, and the magnetic field. A transition from a highly confined system to an almost homogenous system is observed as the side lengths get much larger than the magnetic length.