ИСТИНА

At quantum plasma studying a special attention has been paid to dynamic of magnetic moment (spin) of particles [1] – [4]. Spin current is a very important concept of physics. Spin current generation, detection and manipulation are of the particular interest for magnetoelectronic devices research. For instance spin current is useful in spintronics and in the physics of quantum plasma of spin-up and spin-down particles. The quantum hydrodynamics which describes separate evolution of spin-up and spin-down electrons had been derived in [3]. The study spin-orbit interaction in the systems of spin-up and spin-down particles is very important for the physics of spin currents because spin-orbit interaction electrons with crystal lattice leads to the spin current generation. To consider a contribution of the spin-orbit interaction in the extraordinary wave spectrum we derive a generalization of the separate spin evolution quantum hydrodynamics. We find that the spectrum of extraordinary waves consists of three branches: two of them are well-known extraordinary waves and the third one is the spin-electron acoustic wave (SEAW) [4]. 1. L. S. Kuz'menkov, S. G. Maksimov and V. V. Fedoseev, Microscopic quantum hydrodynamics of systems of fermions: Part 1., Theor. Math. Phys. 126, p. 110, (2001). 2. M. Iv. Trukhanova, Quantum Hydrodynamics Approach to The Research of Quantum Effects and Vorticity Evolution in Spin Quantum Plasmas, PTEP, 2013, p. 111I01, (2013). 3. P. A. Andreev, L. S. Kuz'menkov, Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons, Annals of Physics, 361, p. 278, (2015). 4. P. A. Andreev, M. Iv. Trukhanova, Separated spin evolution quantum hydrodynamics of degenerated electrons with spin-orbit interaction and extraordinary wave spectrum, arXiv:1603.07506.