Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-28
Int.J.Geom.Meth.Mod.Phys.6:343-360,2009
Physics
High Energy Physics
High Energy Physics - Theory
17 pages
Scientific paper
We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating the spin Hall conductivity. Focusing on the high frequency regime, we obtain a diagonalized Hamiltonian. After getting the corresponding spectrum, we show that there is a Hall conductivity without an external magnetic field, which is noncommutativity parameter \theta-dependent. This allows us to make contact with the spin Hall effect and also give different interpretations. Fixing \theta, one can recover three different approaches dealing with the phenomenon.
Houca Rachid
Jellal Ahmed
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