Spin Currents of Charged Dirac Particles in Rotating Coordinates
arXiv:1705.07590 · doi:10.1016/j.aop.2018.01.012
Abstract
The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution function up to linear order in the electric field in rotating coordinates, centrifugal force and the derivatives. The spin and spin current densities are calculated by means of this distribution function at zero temperature up to the first order. It is shown that the nonequilibrium part of the distribution function yields the spin Hall effect for fermions constrained to move in a plane perpendicular to the angular velocity and magnetic field. Moreover it yields an analogue of Ohm's law for spin currents whose resistivity depends on the external magnetic field and the angular velocity of the rotating frame. Spin current densities in three-dimensional systems are also established.
arXiv commentAntiparticles and references added. A numerical estimate is given
References in corpus (31)
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Hydrodynamics with Triangle Anomalies
- Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
- Charge separation induced by P-odd bubbles in QCD matter
- Chiral Kinetic Theory
- Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
- Angular momentum conservation in heavy ion collisions at very high energy
- Anomalous Axion Interactions and Topological Currents in Dense Matter
- Robustness of the Spin-Chern number
- Lorentz Invariance in Chiral Kinetic Theory
- Relativistic Chiral Kinetic Theory from Quantum Field Theories
- Collisions in Chiral Kinetic Theory
- Effects of mechanical rotation on spin currents
- Coherent wave-packet evolution in coupled bands
- Topological spin transport of relativistic electron
- Chiral conductivities and effective field theory
- Spin-dependent inertial force and spin current in accelerating systems
- Wigner-Souriau translations and Lorentz symmetry of chiral fermions
- Symmetry Protected Topological Charge in Symmetry Broken Phase: Spin-Chern, Spin-Valley-Chern and Mirror-Chern Numbers
- Semiclassical dynamics and transport of the Dirac spin
- Collective Modes of Chiral Kinetic Theory in Magnetic Field
- Classical chiral kinetic theory and anomalies in even space-time dimensions
- Effect of spin rotation coupling on spin transport
- Quantum anomaly and geometric phase; their basic differences
- Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
- Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
- Relation Between the Spin Hall Conductivity and the Spin Chern Number for Dirac-like Systems
- A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions
- Effective field theory of topological insulator and the Foldy-Wouthuysen transformation