The Non-Dissipative Spin-Hall Conductivity and The Identification of the Conserved Current
| dc.creator | Schmeltzer, D. | |
| dc.date | 2005-04-01 | |
| dc.date.accessioned | 2026-07-25T15:49:51Z | |
| dc.description | The two dimensional Rashba Hamiltonian is investigated using the momentum representation.One finds that the SU(2) transformation which diagonalizes the Hamiltonian gives rise to non commuting Cartesian coordinates for K=0 and zero otherwise.This result corresponds to the Aharonov -Bohm phase in the momentum space. The Spin -Hall conductivity is given by $\frac{e}{4π}$ which disagree with the result $\frac{e}{8π}$ given in the literature.Using Stokes theorem we find that the Spin -Hall current is carried equally by the up and down electrons on the Fermi surface. We identify the Magnetic current and find that for an electric field with a finite Fourier component in the momentum space a non zero Spin -Hall current is obtained.For the electric field which is constant in space, the orbital magnetic current cancels the spin current. In order to measure the Spin-Hall conductance we propose to apply a magnetic field gradient $ΔH_{2}$ in the $i=2$ direction and to measure a Charge- Hall current $\frac{e}{h}(\frac{g}{2})μ_{B}ΔH_{2}$ in the $i=1$ direction. | |
| dc.description | 9 pages, 1 figure, submitted to PRL | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0504035 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0504035 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/37324 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | The Non-Dissipative Spin-Hall Conductivity and The Identification of the Conserved Current | |
| dc.type | text |