Inertial spin Hall effect in noncommutative space

Abstract

In the present paper the study of inertial spin current(that appears in an accelerated frame of reference) is extended to Non-Commutative (NC) space. The $\theta$-dependence, ($\theta$ being the NC parameter), of the inertial spin current is derived explicitly. We have provided yet another way of experimentally measuring $\theta$. Our bound on $\theta$ matches with previous results. In Hamiltonian framework, the Dirac Hamiltonian in an accelerating frame is computed in the low energy regime by exploiting the Foldy-Wouthuysen scheme. The NC $\theta$-effect appears from the replacement of normal products and commutators by Moyal *-products and *-commutators. In particular, the commutator between the external magnetic vector potential and the potential induced by acceleration becomes non-trivial. Expressions for $\theta$-corrected inertial spin current and conductivity are derived. The $\theta$ bound is obtained from the out of plane spin polarization, which is experimentally observable.

11 pages, no figures, Accepted in Phys. Lett. A

References in corpus (12)

• Dissipationless Quantum Spin Current at Room Temperature
• Direct electronic measurement of the spin Hall effect
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Effects of mechanical rotation on spin currents
• Theory of spin Hall effect
• Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect
• Inverse Spin Hall Effect Driven by Spin Motive Force
• Comment on "Theory of Spin Hall Effect: Extension of the Drude Model"
• Noncommutative Geometry and Geometric Phases
• Noncommutativity in (2+1)-dimensions and the Lorentz group
• On atomic analogue of Landau quantization
• Spin Hall Effect For Anyons

Cited by in corpus (20)

• A comparative review of four formulations of noncommutative quantum mechanics
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Effect of spin rotation coupling on spin transport
• Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• An Introduction to Noncommutative Physics
• Effect of cosmic string on spin dynamics
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Klein-Gordon theory in noncommutative phase space
• Hall conductivity in the cosmic defect and dislocation space-time
• Spin Transport in non-inertial frame
• Induced entanglement entropy of harmonic oscillators in noncommutative phase space
• Influences of the coordinate dependent noncommutative space on charged and spin currents
• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• Kane model parameters and stochastic spin current
• Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation
• Thermodynamics Properties of Confined Particles on Noncommutative Plane
• Effect of non-uniform exchange field in ferromagnetic graphene
• Consequences of the thermal dependence of spin orbit coupling in semiconductors
• Hall Conductivities for Confined System in Noncommutative Plane