Singularity of the Density of States and Transport Anisotropy in a Two-Dimensional Electron Gas with Spin-Orbit Interaction in an In-Plane Magnetic Field

A two-dimensional electron gas with spin-orbit interaction in an in-plane magnetic field is known to form an anisotropic system with a van Hove singularity of the density of states controlled by a magnetic field. Tensors of the conductivity and spin susceptibility that determine the Edelstein effect for this system are studied. It is established that the conductivity and spin susceptibility have sharp singularities that appear in the process of varying the magnetic field or the Fermi level position when the Fermi level passes through the singularity point.