Effects of magnetic field applied on leads

TL;DR

This paper investigates how magnetic fields influence the conductance and level statistics in two-dimensional systems with spin-orbit scattering, revealing a transition from GSE to GUE statistics under strong Zeeman splitting.

Contribution

It demonstrates the sensitivity of transmission eigenvalue statistics to lead asymmetry and magnetic field effects, highlighting a transition in level statistics due to Zeeman splitting.

Findings

Nearest neighbor spacing shifts from GSE to GUE with large Zeeman splitting.

Level statistics depend on spin population asymmetry in the lead.

Magnetic field impacts conductance and spectral properties in 2D systems.

Abstract

The two terminal conductance for two dimensional systems is calculated in the presence of the spin-orbit scattering. The level statistics of the transmission eigenvalue is shown to be sensitive to the asymmetry of the spin population in the lead. The nearest neighbor spacing is GUE instead of GSE when sufficiently large Zeeman splitting is assumed in one of the lead.