Spin Hall Effect in Noncommutative Coordinates

Details Spin Hall Effect in Noncommutative Coordinates Spin Hall Effect in Noncommutative Coordinates

2008-06-04

arxiv.org/abs/0806.0707v2

Phys.Lett.A373:1314-1320,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. Ref. added. Published version

Scientific paper

10.1016/j.physleta.2009.02.029

A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect in noncommuting coordinates at the first order in the constant noncommutativity parameter theta . The method is first illustrated by studying the Hall effect on the noncommutative plane in a gauge independent fashion. Then, the Drude model type and the Hall effect type formulations of spin Hall effect are considered in noncommuting coordinates and \theta deformed spin Hall conductivities which they provide are acquired. It is shown that by adjusting \theta different formulations of spin Hall conductivity are accomplished. Hence, the noncommutative theory can be envisaged as an effective theory which unifies different approaches to similar physical phenomena.

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