Spin-dependent inertial force and spin current in accelerating systems

Abstract

The spin-dependent inertial force in an accelerating system under the presence of electromagnetic fields is derived from the generally covariant Dirac equation. Spin currents are evaluated by the force up to the lowest order of the spin-orbit coupling in both ballistic and diffusive regimes. We give an interpretation of the inertial effect of linear acceleration on an electron as an effective electric field and show that mechanical vibration in a high frequency resonator can create a spin current via the spin-orbit interaction augmented by the linear acceleration.

11 pages,4 figures

References in corpus (12)

• Dissipationless Quantum Spin Current at Room Temperature
• Evolution of the spin Hall effect in Pt nanowires: Size and temperature effects
• Effects of mechanical rotation on spin currents
• Nanomechanical Detection of Itinerant Electron Spin Flip
• Enhanced spin Hall effect by resonant skew scattering in orbital-selective Kondo effect
• Universal Decoherence in Solids
• Macrospin Tunneling and Magnetopolaritons with Nanomechanical Interference
• Quantum Renormalization of the Spin Hall Effect
• Spin current generation due to mechanical rotation in the presence of impurity scattering
• Magneto-elastic waves in crystals of magnetic molecules
• Macroscopic quantum effects generated by the acoustic wave in a molecular magnet
• Rotational Doppler Effect in Magnetic Resonance

Cited by in corpus (44)

• Theory of spin hydrodynamic generation
• Heat transport as torsional responses and Keldysh formalism in a curved spacetime
• Geometric spin-orbit coupling and chirality-induced spin selectivity
• Electron magnetic moment of transient chiral phonons in KTaO${}_3$
• Conversion between electron spin and microscopic atomic rotation
• Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame
• Dynamic electron-phonon and spin-phonon interactions due to inertia
• Inertial spin Hall effect in noncommutative space
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Renormalization of spin-rotation coupling
• Effect of spin rotation coupling on spin transport
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Spin Precession in Inertial and Gravitational Fields
• Rotating effects on the Landau quantization for an atom with a magnetic quadrupole moment
• Inertial effect on spin orbit coupling and spin transport
• Topological and noninertial effects in an Aharonov-Bohm ring
• Inertial-Hall effect: the influence of rotation on the Hall conductivity
• Charmonium transition in electromagnetic and rotational fields
• Applications of Nanomagnets as Dynamical Systems
• Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band Structure
• Modification of Landau levels in a two-dimensional ring due to rotation effects and edge states
• Effect of cosmic string on spin dynamics
• Noninertial effects on nonrelativistic topological quantum scattering
• Conversion of chiral phonons into magnons in ferromagnets and antiferromagnets
• Gravitomagnetic Stern--Gerlach Force
• Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
• Some aspects of an induced electric dipole moment in rotating and nonrotating frames
• Optomagnonic Barnett effect
• Theory of spin magnetization driven by chiral phonons
• On an atom with a magnetic quadrupole moment in a rotating frame
• Spin Transport in non-inertial frame
• Spin current generation and control in carbon nanotubes by combining rotation and magnetic field
• Mind the Gap: From Resolving Theoretical Foundations of Chiral(ity)-Induced Spin Selectivity to Pioneering Implementations in Quantum Sensing
• Spin elastodynamic motive force
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• Spin Currents of Charged Dirac Particles in Rotating Coordinates
• Helicity current generation by distorted Rashba coupling
• Quantum hydrodynamics in the rotating reference frame
• The quantum Hall effect under the influence of gravity and inertia: A unified approach
• Hydrodynamic theory of vorticity-induced spin transport
• The Barnett vs. Landau levels in the rotating two-dimensional electron gas
• Spin Hall response at finite wave vector in ferromagnets
• The Dirac equation: historical context, comparisons with the Schrödinger and Klein-Gordon equations, and elementary consequences
• Mach's Principle and the Origin of Inertia