Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: II. RPA response functions and collective modes
arXiv:1512.01661 · doi:10.1103/PhysRevB.92.245426
Abstract
The spin and density response functions in the random phase approximation (RPA) are derived by linearizing the kinetic equation including a magnetic field, the spin-orbit coupling, and mean fields with respect to an external electric field. Different polarization functions appear describing various precession motions showing Rabi satellites due to an effective Zeeman field. The latter turns out to consist of the mean-field magnetization, the magnetic field, and the spin-orbit vector. The collective modes for charged and neutral systems are derived and a threefold splitting of the spin waves dependent on the polarization and spin-orbit coupling is shown. The dielectric function including spin-orbit coupling, polarization and magnetic fields is presented analytically for long wave lengths and in the static limit. The dynamical screening length as well as the long-wavelength dielectric function shows an instability in charge modes, which are interpreted as spin segregation and domain formation. The spin response describes a crossover from damped oscillatory behavior to exponentially damped behavior dependent on the polarization and collision frequency. The magnetic field causes ellipsoidal trajectories of the spin response to an external electric field and the spin-orbit coupling causes a rotation of the spin axes. The spin-dephasing times are extracted and discussed in dependence on the polarization, magnetic field, spin-orbit coupling and single-particle relaxation times.
PRB 2015
References in corpus (18)
- Coulomb interaction, ripples, and the minimal conductivity of graphene
- Charge distribution and screening in layered graphene systems
- Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
- Excitation spectrum and high energy plasmons in single- and multi-layer graphene
- Linear response of doped graphene sheets to vector potentials
- Observation of Anomalous Spin Segregation in a Trapped Fermi Gas
- High temperature spin dephasing in n-typed GaAs quantum wells
- Magnonic Charge Pumping via Spin-Orbit Coupling
- Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
- Oscillatory D'yakonov-Perel' spin dynamics in two dimensional electron gases
- Screening properties of the two-dimensional electron gas with spin-orbit coupling
- Electromagnetic response and effective gauge theory of graphene in a magnetic field
- Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions
- Spin relaxation in narrow wires of a two-dimensional electron gas
- Spin-orbit induced longitudinal spin-polarized currents in non-magnetic solids
- Control of Electron Spin Coherence Using Landau Level Quantization in a Two-Dimensional Electron Gas
- Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: I. Kinetic equation and anomalous Hall and spin-Hall effects
- Spin Diffusion in Trapped Gases: Anisotropy in Dipole and Quadrupole Modes