Parquet approximation for a disordered two-dimensional electron gas in a strong transverse magnetic field

The density of states and the diagonal magnetoconductivity of a disordered two-dimensional electron gas under quantizing magnetic fields is treated in the parquet approximation. Results for the lowest Landau subband are obtained by considering the lowest-order irreducible vertex diagrams. An analytical solution is derived for a self-consistent approximation, which includes both particle-particle and particle-hole ladder diagrams. The parquet density of states agrees quite well with the exact result obtained by F. Wegner. The dependence on a short-range parameter is discussed. The diagonal magnetoconductivity is calculated in various approximations and the results are compared with each other. Possibilities to improve the calculation of the magnetoconductivity are discussed.