English

Intrinsic Spin Hall Effect: Topological Transitions in Two-Dimensional Systems

Mesoscale and Nanoscale Physics 2009-11-13 v1

Abstract

The spin-Hall conductivity in spatially-homogeneous two-dimensional electron systems described by the spin-orbit Hamiltonian \hbar \Omega_p \sigma is presented as a sum of the universal part Me/8 \pi \hbar determined by the Berry phase \Phi=M \pi (M is an odd integer, the winding number of the vector \Omega_p) and a non-universal part which vanishes under certain conditions determined by the analytical properties of \Omega_p. The analysis reveals a rich and complicated behavior of the spin-Hall conductivity which is relevant to both electron and hole states in quantum wells and can be detected in experiments.

Keywords

Cite

@article{arxiv.0706.2482,
  title  = {Intrinsic Spin Hall Effect: Topological Transitions in Two-Dimensional Systems},
  author = {O. E. Raichev},
  journal= {arXiv preprint arXiv:0706.2482},
  year   = {2009}
}
R2 v1 2026-06-21T08:39:15.927Z