English

Topological spin current

Mesoscale and Nanoscale Physics 2007-05-23 v4

Abstract

We present an exact derivation for non-commuting coordinates induced by the SU(2) transformation used to diagonalize the spin-orbit hamiltonian in two dimension.As a result an exact non-dissipative Hall current less sensitive to disorder and complementary to the dissipative conductivity is found. We compute the non-dissipative charge and spin-Hall conductance for the spin-orbit problem.We find that the spin-Hall conductance is quantized in units of egμBh\frac{eg\mu_{B}}{h} .In the presence of a Zeeman interaction the charge-Hall conductivity is proportional to the magnetic field. We propose an experiment to test our theory.

Keywords

Cite

@article{arxiv.cond-mat/0406565,
  title  = {Topological spin current},
  author = {D. Schmeltzer},
  journal= {arXiv preprint arXiv:cond-mat/0406565},
  year   = {2007}
}