The effect of inertia on the Dirac electron, the spin Hall current and the momentum space Berry curvature

Chowdhury, Debanjan; Basu, B.

doi:10.1016/j.aop.2012.10.008

Cited by 20 publications

(63 citation statements)

References 50 publications

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“…Based on a semiclassical approach to noncommutative quantum mechanics, SHE has also been discussed in Refs. [16,36,37]. In this paper, we will discuss the influence of topological defects on the intrinsic spin currents based on the extended Drude model of spin Hall effects in Ref.…”

Section: Introductionmentioning

confidence: 99%

Influences of a topological defect on the spin Hall effect

Wang

2013

Phys. Rev. A

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We study the influence of topological defects on the spin current as well as the spin Hall effect. We find that the nontrivial deformation of the space time due to topological defects can generate a spin-dependent current which then induces an imbalanced accumulation of spin states on the edges of the sample. The corresponding spin Hall conductivity has also been calculated for the topological defect of a cosmic string. Compared to the ordinary value, a correction which is linear with mass density of the cosmic string appears. Our approach to the dynamics of non relativistic spinor in the presence of a topological defect is based on the Foldy-Wouthuysen transformation. The spin current is obtained by using the extended Drude model which is independent of the scattering mechanism.

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Section: Introductionmentioning

confidence: 99%

Influences of a topological defect on the spin Hall effect

Wang

2013

Phys. Rev. A

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“…For electrons moving through the lattice, the electric field E is Lorentz transformed to an effective magnetic field (p × E) ≈ B(p) in the rest frame of electron. Thus from (A 5), we can write [37][38][39] the Hamiltonian as…”

Section: Appendix a Foldy-wouthuysen Transformationmentioning

confidence: 99%

“…The SOI, which is derived in the non-relativistic limit through the momentum-dependent gauge field obtained through the FWT can now be incorporated through the momentum-dependent magnetic field. The non-relativistic Hamiltonian (for detailed derivation see the appendix) in the presence of the SOI term can now be written as [37][38][39] …”

Section: Tilted Vortex and Spin Hall Effectmentioning

confidence: 99%

The geometric phase and the geometrodynamics of relativistic electron vortex beams

2014

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We have studied here the geometrodynamics of relativistic electron vortex beams from the perspective of the geometric phase associated with the scalar electron encircling the vortex line. It is pointed out that the electron vortex beam carrying orbital angular momentum is a natural consequence of the skyrmion model of a fermion. This follows from the quantization procedure of a fermion in the framework of Nelson's stochastic mechanics when a direction vector (vortex line) is introduced to depict the spin degrees of freedom. In this formalism, a fermion is depicted as a scalar particle encircling a vortex line. It is here shown that when the Berry phase acquired by the scalar electron encircling the vortex line involves quantized Dirac monopole, we have paraxial (non-paraxial) beam when the vortex line is parallel (orthogonal) to the wavefront propagation direction. Non-paraxial beams incorporate spin-orbit interaction. When the vortex line is tilted with respect to the propagation direction, the Berry phase involves non-quantized monopole. The temporal variation of the direction of the tilted vortices is studied here taking into account the renormalization group flow of the monopole charge and it is predicted that this gives rise to the spin Hall effect.

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“…V ( r) represents the total potential in the system which includes external potential due to external electric field (V e ), potential due to static disorder (V d ) and crystal potential (V 0 ). In this context, the charge and spin Hall effect [15][16][17][18] in spin chiral ferromagnetic graphene is discussed in [5]. The exchange interaction thus induced can be non uniform [6,7] as well.…”

Section: The Hamiltonianmentioning

confidence: 99%

Effect of non-uniform exchange field in ferromagnetic graphene

Chowdhury

Basu

2015

Annals of Physics

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We have presented here the consequences of the non-uniform exchange field on the spin transport issues in spin chiral configuration of ferromagnetic graphene. Taking resort to the spin orbit coupling (SOC) term and non-uniform exchange coupling term we are successful to express the expression of Hall conductivity in terms of the exchange field and SOC parameters through the Kubo formula approach. However, for a specific configuration of the exchange parameter we have evaluated the Berry curvature of the system. We also have paid attention to the study of SU(2) gauge theory of ferromagnetic graphene. The generation of anti damping spin orbit torque in spin chiral magnetic graphene is also briefly discussed.

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The effect of inertia on the Dirac electron, the spin Hall current and the momentum space Berry curvature

Cited by 20 publications

References 50 publications

Influences of a topological defect on the spin Hall effect

Influences of a topological defect on the spin Hall effect

The geometric phase and the geometrodynamics of relativistic electron vortex beams

Effect of non-uniform exchange field in ferromagnetic graphene

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