Broadening of Landau Levels in Two-Dimensional Electron Gas. II. Transverse Magnetoconductance

Abstract

Transverse magnetoconductance of two-dimensional electron gas in strong magnetic field is calculated on the basis of the model and approximation used in a previous paper. Calculating two particle Green's function consistently with the approximation for one particle Green's function yields transverse magnetoconductance free from divergence. Strong energy dependence of one particle spectral density leads to some characteristic features of two-dimensional electron gas in strong magnetic fields. Transverse magnetoconductance calculated as a function of gate voltage exhibits broadening of Landau levels and is sharply cut off in midgap regions between Landau levels. These results are discussed in connection with the experiment of Fowler, Fang, Howard and Stiles. Within the model and approximation of the present paper, splittings of Landau levels are also obtained in strong magnetic field.