https://doi.org/10.1140/epjb/e2009-00413-y
Spin hall effect associated with SU(2) gauge field
Economy, Industry and Business Management Institute, Chongqing University, 400044 Chongqing, P.R. China
Corresponding author: taoyingyong2007@yahoo.com.cn
Received:
19
June
2009
Revised:
12
October
2009
Published online:
4
December
2009
In this paper, we focus on the connection between spin
Hall effect and spin force. Here we investigate that the spin force due to
spin-orbit coupling, which, in two-dimensional system, is equivalent to
forces of Hirsch and Chudnovsky besides constant factors 3 and 
respectively, is a part of classic Anandan force, and that the spin Hall
effect is an anomalous Hall effect. Furthermore, we develop the method of AC
phase to derive the expression for the spin force,
and note that the most basic spin Hall effect indeed originate from the AC
phase and is therefore an intrinsic quantum mechanical property of spin.
This method differs from approach of Berry phase in the study of anomalous
Hall effect , which is the intrinsic property of the perfect crystal. On the
other hand, we use an elegant skill to show that the Chudnovsky-Drude model
is reasonable. Here we have improved the theoretical values of spin Hall
conductivity of Chudnovsky. Compared to the theoretical values of spin Hall
conductivity in the Chudnovsky-Drude model, ours are in better agreement
with experimentation. Finally, we discuss the relation between spin Hall
effect and fractional statistics.
PACS: 72.25.-b – Spin polarized transport / 71.70.Ej – Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect / 73.43.-f – Quantum Hall effects / 11.15.-q – Gauge field theories
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009
