We study the coupled dynamics of spin and charge currents in a two-dimensional electron gas in the transport diffusive regime. For systems with inversion symmetry there are established relations between the spin Hall effect, the anomalous Hall effect and the inverse spin Hall effect. However, in two-dimensional electron gases of semiconductors like GaAs, inversion symmetry is broken so that the...

A generalized definition of intrinsic and extrinsic transport coefficients is introduced. We show that transport coefficients from the intrinsic origin are solely determined by local electronic structure, and thus the intrinsic spin Hall effect is not a transport phenomenon. The intrinsic spin Hall current is always accompanied by an equal but opposite intrinsic orbital angular momentum Hall cu...

Anisotropic states at half-filled third and higher Landau levels are investigated in the system with a finite electric current. We study the response of the striped Hall state and the anisotropic charge density wave (ACDW) state against the injected current using the effective action. Current distributions and a current dependence of the total energy are determined for both states. With no inje...

We study the stationary state of Hall devices composed a load circuit connected to lateral edges Hall-bar. follow approach developed in previous work (Creff et al. J. Appl. Phys 2020) which ideal bar is defined by minimum power dissipation principle. The presence both and magnetic field induces injection current: so-called current. Analytical expressions for longitudinal transverse currents are...