Study of a TwoDimensional Electron Gas in a Weak Magnetic Field.
Abstract
A manybody theory of a twodimensional electron gas in a magnetic field is presented. The field dependence of the Fermi momentum shows a 2D peculiarity. It consists of the spindependent paramagnetic part and the orbital diamagnetic part. The former increases more strongly with r sub s than the latter. The para and diamagnetic susceptibilities are found as functions of r sub s. The fielddependent ground state energy is evaluated. Its paramagnetic part decreases steadily with r sub s, while the diamagnetic part shows a maximum. No such a maximum was found for the 3D case in the same approximation which is valid for high density and low magnetic fields. From the susceptibilities, an effective g factor and an effective mass are derived.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT........14T
 Keywords:

 Physics: Condensed Matter;
 Electron Gas;
 Magnetic Fields;
 Many Body Problem;
 Density (Mass/Volume);
 Energy Levels;
 Free Electrons;
 Gas Dynamics;
 SolidState Physics