Publication: Gauge potential formulations of the spin Hall effect in graphene
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Elsevier BV
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Abstract
Two different gauge potential methods are engaged to calculate explicitly the spin Hall conductivity in graphene. The graphene Hamiltonian with spin-orbit interaction is expressed in terms of kinematic momenta by introducing a gauge potential. A formulation of the spin Hall conductivity is established by requiring that the time evolution of this kinematic momentum vector vanishes. We then calculated the conductivity employing the Berry gauge fields. We show that both of the gauge fields can be deduced from the pure gauge field arising from the Foldy-Wouthuysen transformations.
Presentation improved. Published version
Presentation improved. Published version
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High Energy Physics - Theory, Condensed Matter - Mesoscale and Nanoscale Physics, spin Hall effect, Berry phase, FOS: Physical sciences, Mathematical Physics (math-ph), two-dimensional Dirac Hamiltonian, High Energy Physics - Theory (hep-th), Many-body theory, quantum Hall effect, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Statistical mechanics of nanostructures and nanoparticles, Mathematical Physics