Phase space methods for the spin dynamics in condensed matter systems

Abstract

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner equation is coupled to the appropriate Maxwell equations to form a self-consistent mean-field model. A set of semiclassical Vlasov equations with spin effects is obtained by expanding the full quantum model to first order in the Planck constant. The corresponding hydrodynamic equations are derived by taking velocity moments of the phase-space distribution function. A simple closure relation is proposed to obtain a closed set of hydrodynamic equations.

References in corpus (5)

• Breather mode in the many-electron dynamics of semiconductor quantum wells
• From extended phase space dynamics to fluid theory
• Semiclassical Vlasov and fluid models for an electron gas with spin effects
• Lagrangian approach to the semi-relativistic electron dynamics in the mean-field approximation
• Nonlinear dynamics of electron-positron clusters

Cited by in corpus (10)

• Evolution of hybrid quantum-classical wavefunctions
• Barut-Girardello coherent states for anisotropic 2D-Dirac materials
• Hybrid quantum-classical dynamics of pure-dephasing systems
• Dynamics of mixed quantum-classical spin systems
• Complex fluid models of mixed quantum-classical dynamics
• Koopmon trajectories in nonadiabatic quantum-classical dynamics
• Ultrafast dynamics of a spin-polarized electron plasma with magnetic ions
• Short-scale quantum kinetic theory including spin-orbit interactions
• Response tensor for a spin-dependent electron gas: dependence on the choice of spin operator
• Ponderomotive force due to the intrinsic spin for electrostatic waves in a magnetized plasma