The Hall effect depending on conduction
electron spin projection
becomes very different for anisotropic 2D crystals. In this case,
the spin-dependent electron current is strongly determined by the
orientation angle, θ, of the sample with respect to an applied
electric field. The spin-up and -down components of the direct and
Hall charge currents oscillate with the angle 2θ. The direct
and Hall components of the current have the structure where there
are the angle-independent part, oscillation amplitude, and phase shift.
All three quantitates strongly depend on the electron spin projection,
electron mass ratio, and skyrmion size. We find that there are “magic”
orientation angles where the spin-up, spin-down, and total Hall currents
vanish. There is a great interest in computations based on 2D materials
with skyrmions. Such properties can be useful for computer logic operations
based on skyrmions.
The needs of high speed performance electronic devices for various applications require novel materials and new physical phenomena. For these purposes we propose to study new physical effects based on electron scattering on magnetic skyrmions and vortices distributed in a 2D ferromagnetic material. We show that the topological spin Hall effect can be efficiently employed for the filtering, switching, and separation of spin currents. For some values of the parameters (conduction electron concentrations, and skyrmion/vortex sizes) it is possible to separate Hall currents for different electron spin projections as it is like for different carrier charges (electrons and holes) in the normal Hall effect. The calculations are performed using the Boltzmann kinetic equation for the nonequilibrium distribution function and the Lippmann-Schwinger equation for the transition matrix in the whole range of the adiabaticity parameter. The spin filtering due to the skyrmion/vortex scattering can be several orders of magnitude more efficient in the narrow range of the electron concentrations than that of the ordinary ferromagnetic spin polarization in spintronics.
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