Non-Linear Spin Dynamics Of The Electron Liquid In Nanosystems

R. N. Gurzhi, A. N. Kalinenko, A. I. Kopeliovich, P. V. Pyshkin, S. B. Rutkevich, A. V. Yanovsky, A. N. Yashin

Published 2013-10-16Version 1

We investigate the dynamics of spin-nonequilibrium electron systems in the hydrodynamic flow regime, when the normal scattering processes, which conserve the total quasi-momentum of the system of electrons and quasi-particles that interact with them, dominate over other scattering processes. We obtain a set of spin-hydrodynamic equations for the case of an arbitrary electron spectrum that varies slowly with the coordinates. Solving the one-dimensional non-linear problem we found the exact solutions both for the electrical potential in the open-ends circuit and for the spin-electrical oscillation in an inhomogeneous conducting ring. As we demonstrate, the oscillation characteristics are different in the cases of a magnetic ring and a non-magnetic ring to which the spin polarization was injected. We found also that a voltage between the ends of the open circuit may reveal the presence of an inhomogeneous spin polarization of the electron density.