Spin Hall effect in noncommutative coordinates

Ömer F. Dayi*, Mahmut Elbistan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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 θ. 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 θ deformed spin Hall conductivities which they provide are acquired. It is shown that by adjusting θ 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.

Original languageEnglish
Pages (from-to)1314-1320
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number15
Publication statusPublished - 30 Mar 2009


  • Noncommutative dynamics
  • Spin Hall effect


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