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

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

2007-06-17

arxiv.org/abs/0706.2482v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, submitted to Physical Review Letters on 14 March 2007, revised 21 May 2007

Scientific paper

10.1103/PhysRevLett.99.236804

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.

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