INTERACTING ELECTRON-GAS IN A STRONG MAGNETIC-FIELD .1. PARQUET EQUATIONS IN LEADING LOGARITHMIC ORDER

The density response function of an electron gas in a strong magnetic field shows logarithmic singularities due to scattering across the Fermi surface. We analyze the parquet equations for the vertex function in leading logarithmic order for a general interaction potential. The parquet equations are solved for a special interaction potential (Schulz and Keiter model). The divergence of the density response function at extremely high fields is discussed in connection with a possible transition to a Wigner lattice. © 1979 Springer-Verlag.