Numerical Study of the Spin Hall Conductance in the Luttinger Model

W. Q. Chen, Z. Y. Weng, D. N. Sheng

Published 2005-02-24, updated 2005-07-28Version 3

We present first numerical studies of the disorder effect on the recently proposed intrinsic spin Hall conductance in a three dimensional (3D) lattice Luttinger model. The results show that the spin Hall conductance remains finite in a wide range of disorder strength, with large fluctuations. The disorder-configuration-averaged spin Hall conductance monotonically decreases with the increase of disorder strength and vanishes before the Anderson localization takes place. The finite-size effect is also discussed.