5 research outputs found
Streda-like formula in spin Hall effect
A generalized Streda formula is derived for the spin transport in spin-orbit
coupled systems. As compared with the original Streda formula for charge
transport, there is an extra contribution of the spin Hall conductance whenever
the spin is not conserved. For recently studied systems with quantum spin Hall
effect in which the z-component spin is conserved, this extra contribution
vanishes and the quantized value of spin Hall conductivity can be reproduced in
the present approach. However, as spin is not conserved in general, this extra
contribution can not be neglected, and the quantization is not exact.Comment: 4 pages, no figur
Finite Size Corrections for the Pairing Hamiltonian
We study the effects of superconducting pairing in small metallic grains. We
show that in the limit of large Thouless conductance one can explicitly
determine the low energy spectrum of the problem as an expansion in the inverse
number of electrons on the grain. The expansion is based on the formal exact
solution of the Richardson model. We use this expansion to calculate finite
size corrections to the ground state energy, Matveev-Larkin parameter, and
excitation energies.Comment: 22 pages, 1 figur
Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei
We review and summarize recent theoretical and experimental work on electron
spin dynamics in quantum dots and related nanostructures due to hyperfine
interaction with surrounding nuclear spins. This topic is of particular
interest with respect to several proposals for quantum information processing
in solid state systems. Specifically, we investigate the hyperfine interaction
of an electron spin confined in a quantum dot in an s-type conduction band with
the nuclear spins in the dot. This interaction is proportional to the square
modulus of the electron wave function at the location of each nucleus leading
to an inhomogeneous coupling, i.e. nuclei in different locations are coupled
with different strength. In the case of an initially fully polarized nuclear
spin system an exact analytical solution for the spin dynamics can be found.
For not completely polarized nuclei, approximation-free results can only be
obtained numerically in sufficiently small systems. We compare these exact
results with findings from several approximation strategies.Comment: 26 pages, 9 figures. Topical Review to appear in J. Phys.: Condens.
Matte
Housing environment in the process of cultural change and transformation; study in Istanbul/Armutlu squatter settlement
Workshop 4. Session 4.1: Design and modernit