Diffusive magnetotransport in a 2D Rashba system

TL;DR

This paper provides analytical and numerical analysis of the conductivity tensor in a 2D Rashba system under magnetic fields, revealing detailed behavior of magnetotransport properties across classical and quantum regimes.

Contribution

It introduces a new exact Green function representation for 2D Rashba systems in magnetic fields and derives analytical expressions for conductivity and density of states applicable across regimes.

Findings

Analytical expressions for density of states and conductivity in 2D Rashba systems.

Numerical analysis of Shubnikov-de Haas oscillations across magnetic field regimes.

Behavior of magnetotransport properties from classical to quantum magnetic fields.

Abstract

We present calculations of the conductivity tensor \sigma of a 2D-system with the Rashba spin-orbit interaction (SOI) in an orthogonal magnetic field, with allowance for electron elastic scattering by a Gaussian \delta-correlated random potential in the self-consistent Born approximation. The calculations are performed proceeding from the Kubo formula using a new exact epresentation of the one-particle Green function of the 2D-system with SOI in an arbitrary magnetic field. We have obtained the analytical expressions for the density of states and \sigma which have a simple interpretation in terms of the two-subband model and hold good in a wide range from the classical magnetic fields (\omega_{c}\tau\ll 1) up to the quantizing ones (\omega_{c}^{}\tau\gtrsim 1). The numerical analysis of the Shubnikov - de Haas oscillations of the kinetic coeffitients and of their behavior in the classical fields region is performed.