Spin currents of charged Dirac particles in rotating coordinates

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.

On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics

“…Besides the influence of electromagnetic interactions and topological defects, noninertial effects are associated with important contributions to the dynamics of a system. More specifically, such effects can be related to Hall quantization [45], geometric phases [46], spin currents [47] and modifications in the energy spectrum of a system [48]. Focusing our attention on the Dirac oscillator again, it was analyzed in a rotating frame of reference in [49].…”

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect

“…In addition, the study of noninertial effects in relativistic quantum systems also gained relevance and focus of investigations in recent years [40][41][42][43][44]. In particular, the DE in a rotating frame has several interesting applications, for instance, is applied in physical problems involving spin currents [45,46], Sagnac and Hall effects [47,48], chiral symmetry [49], external magnetic fields [50,51], fullerene molecules [52][53][54], nanotubes and carbon nanocons [55,56], and so on.…”

Topological and noninertial effects in an Aharonov–Bohm ring

“…Now, in the high-energy regime, noninertial effects also gained focus of investigations in some quantum systems described by relativistic wave equations [51][52][53][54]. For instance, considering the Dirac equation (DE) in a rotating frame, this equation is applied in problems involving spin currents [55,56], Dirac oscillator and cosmic strings [59], fullerene molecules [61][62][63], nanotubes and carbon nanocons [64,65], Sagnac and Hall effects [66,67], and external magnetic fields [57,58].…”