Vertex corrections to the anomalous Hall effect in spin-polarized two-dimensional electron gases with a Rashba spin-orbit interaction.
We study the effect of disorder on the intrinsic anomalous Hall conductivity in a magnetic two-dimensional electron gas with a Rashba-type spin-orbit interaction. We find that anomalous Hall conductivity vanishes unless the lifetime is spin-dependent, similar to the spin Hall conductivity in the nonmagnetic system. In addition, we find that the spin Hall conductivity does not vanish in the presence of magnetic scatterers.
Inoue
Jun-ichiro
J
Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan. inoue@nuap.nagoya-u.ac.jp
Kato
Takashi
T
Ishikawa
Yasuhito
Y
Itoh
Hiroyoshi
H
Bauer
Gerrit E W
GE
Molenkamp
Laurens W
LW