Effect of winding edge currents
Andrey Yanovsky (B. Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine)
Some degrees of freedom “interact”’ with the velocity winding of trajectories, e.g. spin. We discuss the connection between spintronics and winding: namely its relation to Spin-hall effect and Thomas precession. Further we discuss persistent currents for particles with internal degrees of freedom. The currents arise because of winding properties essential for the chaotic motion of the particles in a confined geometry. The currents do not change the particle concentrations or thermodynamics, similar to the skipping orbits in a magnetic field. One of the possible realization are persistent currents in conditions of “extrinsic”’ spin Hall effect. The effect is classical in contrast to similar currents predicted for conditions of quantum “intrinsic” spin Hall effect. An analytical solution has been found in an Ornstein-Uhlenbeck process. Weak dependence of the winding currents on the form of confined potential has been uncovered. The results can be of interest beyond the scope of phenomena associated with the spin Hall effect.
S. Ouvry, L .Pastur, A. Yanovsky, Physics Letters A 377 (2013), pp. 804-809