Understanding spin Hall effects from the motion in SU(2)XU(1) fields

dc.creatorJin, Pei-Qing
dc.creatorLi, You-Quan
dc.date2006-08-14
dc.date.accessioned2026-07-07T09:33:17Z
dc.date.available2026-07-07T09:33:17Z
dc.descriptionWe derive the classical counterpart of a previously obtained quantum mechanical covariant ``continuitylike'' equation for the spin density, and present an intuitive picture for elucidating the non-conservation of the spin current. This reveals the equations of motion for a particle with spin under the Yang-Mills field (in certain semiconductors) as well as the Maxwell field, from which the condition for an infinite spin relaxation time is drawn out directly. As a concrete example, we discuss the procession of the spin orientation in spin Hall effect with the so called ReD field, which undergoes a circle with the frequency dependent on both the strength of the spin-orbit coupling and the initial velocity. The anti-commutation of the Pauli matrices is found to be crucial in simplifying the equations of motion in the view of quantum mechanism of the same topics.
dc.descriptionRevTex, 4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0608303
dc.identifierhttp://arxiv.org/abs/cond-mat/0608303
dc.identifierPhys. Rev. B 77, 155304 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.155304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159079
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleUnderstanding spin Hall effects from the motion in SU(2)XU(1) fields
dc.typetext

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