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

TL;DR

This paper studies how electron-electron interactions affect electron transmission through a tunnel junction in a strong magnetic field, revealing the importance of screening and renormalization effects.

Contribution

It introduces a renormalization group approach to account for higher order interactions and clarifies the roles of screened and bare Coulomb interactions in transmission.

Findings

Temperature dependence resembles one-dimensional systems

Screened Coulomb interaction is crucial for Fock correction

Higher order effects modify transmission probability

Abstract

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.