Many-Body Effects on the Transmission Probability through a Tunnel Junction in a Strong Magnetic Field

Toshihiro Kubo, Arisato Kawabata

Published 2003-01-09, updated 2003-02-04Version 3

We investigate effects of electron-electron interaction on the transmission probability of electrons through a tunnel junction in a strong magnetic field. We start with the Hartree-Fock approximation, and we show that the coulomb interaction, which gives rise to the divergence of Fock correction, should be replaced by the dynamically screened interaction. We also show that we should use the bare coulomb interaction for Hartree term. We take into account higher order contributions using a simple renormalization group approach. The temperature dependence of the transmission probability is qualitatively similar to that of a one-dimensional system.