Antiparallel spin Hall current in a bilayer with skew scattering

Abstract

The spin Hall effect due to skew scattering is studied by solving the Boltzmann equation in a bilayer electron system with attractive impurity potentials in one layer and repulsive ones in the other. In such an impurity configuration, directions of the spin Hall current in two decoupled layers are antiparallel. An analytical formula for the magnitude of the antiparallel spin Hall current is derived in the crossover from the decoupled bilayer to the strongly coupled one with no spin Hall current with increasing Delta(SAS), the energy separation between the symmetric and antisymmetric states of the motion perpendicular to the layer. When the impurity potential is short ranged and Delta(SAS) << epsilon(F), with epsilon(F) being the Fermi energy, the normalized antiparallel spin Hall conductivity is found to be [1 + (omega tau(p))(2)](-1), with omega = Delta(SAS)/(h) over bar and tau(p), being the momentum relaxation time at epsilon(F). This formula is explained by extending the dynamics for the Hanle effect, which was originally developed for spin, to the pseudospin (layer) degree of freedom. The present finding suggests that the Hanle effect will be useful in understanding the pseudospin dynamics as well as the spin dynamics.

Journal

  • Physical Review B

    Physical Review B 100 (12), 125307-, 2019-09-20

    American Physical Society (APS)

Citations (4)*help

See more

References(78)*help

See more

Related Projects

See more

Details 詳細情報について

Report a problem

Back to top