Inertial spin Hall effect in non-commutative space

B. Basu, Debashree Chowdhury, Subir Ghosh

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


In the present Letter the study of inertial spin current (that appears in an accelerated frame of reference) is extended to Non-Commutative (NC) space. In the Hamiltonian framework, the Dirac Hamiltonian in an accelerating frame is computed in the low energy regime by exploiting the Foldy-Wouthuysen scheme. The NC θ-effect appears from the replacement of normal products and commutators by Moyal *-products and *-commutators. In particular, the commutator between the external magnetic vector potential and the potential induced by acceleration becomes non-trivial. Expressions for θ-corrected inertial spin current and conductivity are derived explicitly. We have provided yet another way of experimentally measuring θ. The θ bound is obtained from the out of plane spin polarization, which is experimentally observable.

Original languageEnglish
Pages (from-to)1661-1667
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number28-30
StatePublished - 15 Oct 2013
Externally publishedYes


  • Bound for non-commutative parameter
  • Non-commutative quantum mechanics
  • Non-inertial reference frame
  • Spin Hall effect
  • Spin polarization

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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