2008/06/05 by Michael Schulz, Steffen Trimper · 4 citations
Physics and Astronomy · #Charge (physics) #Condensed matter physics #Conductivity #Coupling (piping) #Electric field #Electrical resistivity and conductivity #Electron #Hall effect #Magnetic properties of thin films #Materials science #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Semiclassical physics #Spin (aerodynamics) #Spin Hall effect #Spin polarization #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physleta.2008.07.046
published in Physics Letters A 372(37), 5905-5908 (Elsevier BV) · 12 pages, 1 figure
arxiv created 2008/06/05 · openalex publication_date 2008/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The spin polarized charge transport is systematically analyzed as a thermally driven stochastic process. The approach is based on Kramers' equation describing the semiclassical motion under the inclusion of stochastic and damping forces. Due to the relativistic spin-orbit coupling the damping experiences a relativistic correction leading to an additional contribution within the spin Hall conductivity. A further contribution to the conductivity is originated from the averaged underlying crystal potential, the mean value of which depends significantly on the electric field. We derive an exact expression for the electrical conductivity. All corrections are estimated in lowest order of a relativistic approach and in the linear response regime.