Spin and Valley Hall effects induced by asymmetric interparticle scattering

Abstract

We develop the theory of the spin and valley Hall effects in two-dimensional systems caused by asymmetric -- skew -- scattering of the quasiparticles. The collision integral is derived in the third order in the particle-particle interaction with account for the spin-orbit coupling both for bosons and fermions. It is shown that the scattering asymmetry appears only in the processes where the interaction between the particles in the initial and intermediate state is present. We show that for degenerate electrons or nondegenerate particles the spin and valley currents induced by interparticle collisions are suppressed with their steady-state values being proportional to the squared temperature or density, respectively. Our results imply non-Fermi liquid properties of electrons in the presence of electron-electron skew scattering. Strong deviations from conventional picture of interparticle scattering are also demonstrated for the skew scattering of two-dimensional degenerate bosons, e.g. excitons or exciton polaritons: The spin or valley current of degenerate bosons contains the enhancement factor exponentially growing with increase in the particle density.

7+6 pages, 2 figures. For the Physical Review B special issue "Spin-Coherent Phenomena in Semiconductors" in honor of E. I. Rashba

References in corpus (10)

• The Valley Hall Effect in MoS2 Transistors
• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Theory of Spin Hall conductivity in n-doped GaAs
• Hydrodynamic approach to two-dimensional electron systems
• Stokes flow around an obstacle in viscous two-dimensional electron liquid
• Equilibrium spin currents in the Rashba medium
• Ratchet effect in spatially modulated bilayer graphene: Signature of hydrodynamic transport
• Spin-orbit effect on electron-electron interaction and fine structure of electron complexes in quantum dots
• Spin Hall Drag
• Valley and spin accumulation in ballistic and hydrodynamic channels

Cited by in corpus (6)

• Viscous hydrodynamics of excitons in van der Waals heterostructures
• Quasi-bound Electron Pairs in Two-Dimensional Materials with a Mexican-Hat Dispersion
• Hall Coulomb drag induced by electron-electron skew scattering
• Hydrodynamic Coulomb drag in odd electron liquids
• Heat transport in Weyl semimetals in the hydrodynamic regime
• Ratchet Hall Effect in Fluctuating Superconductors