Control of spin current dynamics in a polycrystalline conductor with chiral structure

In this paper the operator of the spin current density tensor is obtained taking into account the commutation relations for the field operators of fermions and their spin matrices. It is shown that the spin operators and the spin current density tensor commute with the density of the unperturbed Hamiltonian. The equations of dynamics of mean values of spin density and spin current density tensor are obtained by the Kubo method in the approximation of Markov relaxation. The effective one-particle Hamiltonian of the spin-orbit interaction of the collective conduction electron in a deformed metal is constructed by the Hartree-Fock one-electron approximation, considering a pure metal crystallite as a homonuclear macromolecule with metallic bonding. For a chiral polycrystal a relation is obtained from which the perturbation density operator is constructed inthe second quantization representation. Tensor material equations for externally induced spin currents are constructed. The controlling influences are magnetic field induction, charge current density and temperature. The concentration of conduction electrons enters the equations as a parameter. In a homogeneous conductor without external influences it is constant in volume. However, in a stress-strained state, in the presence of temperature gradients and heat fluxes, this concentration can become an additional control parameter describing the influence of mechanical and other external influences on the polarization and depolarization of the spin current.