Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field

Details Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field

2006-01-14

arxiv.org/abs/cond-mat/0601315v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 6 figures. will appear in PRB 73

Scientific paper

10.1103/PhysRevB.73.165306

We calculate the spin Hall conductivity driven by Rashba spin-orbit interaction in $p$-type two-dimensional semiconductors in the presence of a perpendicular magnetic field. For a highly confined quantum well, the system is described by a $k$-cubic Rashba term for two-dimensional heavy holes. The eigenstates of the system can be described by Landau spinor states. First we consider the conventional spin Hall conductivity. The contribution of the interband transitions to the Kubo-Greenwood formula gives the density dependent intrinsic spin Hall conductivity, which approaches its universal value $\sigma^z_{xy}=9e/8\pi$ for weak spin-orbit coupling and low Fermi energies, in agreement with previous work. However two intraband contribution terms cancel this effect leading to zero conventional spin Hall conductivity. Adding the torque dipole contribution to the definition of spin current, we also study the {\it effective} spin conductivity. This is shown to be proportional to the total magnetization plus surface terms which exactly cancel it for small spin-orbit coupling. If in low magnetic field the intraband transitions evolve to vertex corrections, the fact that both {effective} and conventional spin Hall conductivities vanish is unexpected. This suggests that the zero magnetic field limit of the model is singular.

Affiliated with

Also associated with

No associations

Rating

Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-221760