Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic conductors

TL;DR

This paper investigates how electron-electron interactions influence the nonlinear I-V characteristics in mesoscopic conductors under magnetic fields, highlighting the effects of spin-orbit scattering and temperature oscillations.

Contribution

It provides detailed theoretical calculations of the magnetic field and temperature dependence of electron-electron interaction effects in mesoscopic conductors.

Findings

Nonlinear I-V parts linear in magnetic field and quadratic in electric field are due to electron-electron interactions.

Effect exists due to spin-orbit scattering when magnetic field is parallel to the sample.

Temperature dependence shows oscillating behavior with a period comparable to temperature.

Abstract

The nonlinear I-V characteristics of mesoscopic samples contain parts which are linear in the magnetic field and quadratic in the electric field. These contributions to the current are entirely due to the electron-electron interaction and consequently they are proportional to the electron-electron interaction constant. We present detailed calculations of the magnitude of the effect as a function of the temperature, and the direction of the magnetic field. We show that in the case of a magnetic field oriented parallel to the sample, the effect exists entirely due to spin-orbit scattering. The temperature dependence of the magnitude of the effect has an oscillating character with a characteristic period on the order of the temperature itself. We also clarify in this article the nature of the electron-electron interaction constant which determines the magnitude of the effect