Separated spin evolution quantum hydrodynamics of degenerate electrons with spin–orbit interaction and extraordinary wave spectrum

Abstract

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. Applying corresponding nonlinear Pauli equation we include Fermi spin current contribution in the spin evolution. We find that the spectrum of extraordinary waves consists of three branches: two of them are wellknown extraordinary waves and the third one is the spin-electron acoustic wave (SEAW). Earlier SEAWs have been considered in the electrostatic limit. Here we include the electromagnetic effects in their spectrum at the propagation perpendicular to the external magnetic field. We find that the SEAW spectrum considerably changes at the account of transverse part of electric field. We obtain that the separate spin evolution modifies spectrum of the well-known extraordinary waves either. A change of the extraordinary wave spectrum due to the spin-orbit interaction is obtained as well.

Kinetic theory for spin-1/2 particles in ultrastrong magnetic fields

“…Comparing the Wigner function of our model with previous quantum kinetic models [8][9][10][11][12][13] and [36][37][38], we note that many of them focus on other physical effects, including short scale effects (of the order the de Broglie length) and/or spin dynamics. The latter type of processes is filtered out in our case, due to the short timescale for spin precession associated with strong fields.…”

“…[7,11]. A more thorough discussion of our model, including comparison with previous works [8][9][10][11][12][13][36][37][38] is found in Sec. VI.…”

“…In the expression forĤ there are still some odd operators, but sinceÔ is linear in μ B E and μ B ∂ t B, they should be smaller thanˆ . Thus it is fine to only include the minor correction of the second transformation in (9). Thus the HamiltonianĤ FW after the second transformation will have the same structure as in (10).…”

“…Quantum kinetic descriptions of plasmas are typically of most interest for high densities and modest temperature [1]. For this purpose, typically the starting point is the Wigner-Moyal equation [1][2][3][4][5][6], or various generalizations thereof also accounting for physics associated with the electron spin, such as the magnetic dipole force [7,8], spin magnetization [7,9], and spin-orbit interaction [9]. Both weakly [10,11] and strongly [12,13] relativistic treatments have been presented in the recent literature.…”

Kinetic theory for spin-1/2 particles in ultra-strong magnetic fields

“…Quantum kinetic descriptions of plasmas are typically of most interest for high densities and modest temperature [1]. For this purpose, typically the the starting point is the Wigner-Moyal equation [1][2][3][4][5][6], or various generalizations thereof also accounting for physics associated with the electron spin, such as the magnetic dipole force [7,8], spin magnetization [7,9] and spin-orbit interaction [9]. Both weakly [10,11] and strongly [12,13] relativistic treatments have been presented in the recent literature.…”