Determination of the Rashba and Dresselhaus Spin–Orbit Interaction Parameters and g‐Factor from the Critical Points of the Spectrum in a 2D Electron Gas in an In‐Plane Magnetic Field

Abstract

A 2D electron gas with spin–orbit interaction (SOI) is known to form an anisotropic system with van Hove singularities controllable by a parallel magnetic field. The conductivity tensors of this system in the presence of both Rashba and Dresselhaus SOIs is studied. It is found that the diagonal elements of the conductivity tensor have sharp dips when the Fermi level passes through the singularity point of a spectrum. The energy position of these dips at different orientations of the magnetic field allows one to determine both SOI constants and the Landé g‐factor. The dependencies of the surface charge concentration on the Fermi level show a sharp change in the slope near the minimum of the spectrum due to the jumps of the density of states, while the van Hove singularities are not noticeable. In a zero magnetic field, the conductivity tensor has off‐diagonal terms which change the sign when the Fermi level passes the saddle points of the spectrum. The off‐diagonal terms evidence the appearance of the Hall voltage caused by the anisotropy of the Fermi surface and the scattering process.

On spin flip for electron scattering by several delta-potentials for 1D Hamiltonian with spin-orbit interaction

“…As for one-dimensional models, quantum graph is very effective in this situation (see, e.g., [15][16][17]). Particularly, to ensure the spin filtering, spin flip, control of the spin transport one uses, usually, systems of coupled quantum rings (see, e.g., [14,[18][19][20][21][22][23][24][25][26][27]). In the present paper, we show an example of the spin-flip in 1D system without rings for the Hamiltonian with spin-orbit interaction.…”