Inertial effect on spin–orbit coupling and spin transport

Abstract

We theoretically study the renormalization of inertial effects on the spin dependent transport of conduction electrons in a semiconductor by taking into account the interband mixing on the basis of k. p perturbation theory. In our analysis, for the generation of spin current we have used the extended Drude model where the spin orbit coupling plays an important role. We predict enhancement of the spin current resulting from the rerormalized spin orbit coupling effective in our model in cubic and non cubic crystal. Attention has been paid to clarify the importance of gauge fields in the spin transport of this inertial system. A theoretical proposition of a perfect spin filter has been done through the Aharonov-Casher like phase corresponding to this inertial system. For a time dependent acceleration, effect of k. p perturbation on the spin current and spin polarization has also been addressed. Furthermore, achievement of a tunable source of polarized spin current through the non uniformity of the inertial spin orbit coupling strength has also been discussed.

The geometric phase and the geometrodynamics of relativistic electron vortex beams

“…For electrons moving through the lattice, the electric field E is Lorentz transformed to an effective magnetic field (p × E) ≈ B(p) in the rest frame of electron. Thus from (A 5), we can write [37][38][39] the Hamiltonian as…”

“…The SOI, which is derived in the non-relativistic limit through the momentum-dependent gauge field obtained through the FWT can now be incorporated through the momentum-dependent magnetic field. The non-relativistic Hamiltonian (for detailed derivation see the appendix) in the presence of the SOI term can now be written as [37][38][39] …”

Effect of non-uniform exchange field in ferromagnetic graphene

“…V ( r) represents the total potential in the system which includes external potential due to external electric field (V e ), potential due to static disorder (V d ) and crystal potential (V 0 ). In this context, the charge and spin Hall effect [15][16][17][18] in spin chiral ferromagnetic graphene is discussed in [5]. The exchange interaction thus induced can be non uniform [6,7] as well.…”

Hall Conductivity in the Cosmic Defect and Dislocation Spacetime

“…Various studies on the electromagnetic dynamics of the magnetic and electric dipole moments shown that both their global and local physical properties can be sensitive to non-trivial geometries [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. However, it is still difficult to observe them experimentally.…”