Chaotic transport in the symmetry crossover regime with a spin-orbit interaction
Abstract
We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation is experimentally realizable when the spin-orbit interaction is controlled in a conductor by applying an electric field. We utilize a semiclassical approach which has recently been developed. In this approach, the non-Abelian nature of the spin diffusion along a classical trajectory plays a crucial role. New analytical expressions with one crossover parameter are semiclassically derived for the average conductance, conductance variance, and shot noise. Moreover numerical results on a random-matrix model describing the crossover from the Gaussian orthogonal ensemble to the Gaussian symplectic ensemble are compared with the semiclassical expressions.
- Publication:
-
Physical Review B
- Pub Date:
- September 2010
- DOI:
- 10.1103/PhysRevB.82.125322
- arXiv:
- arXiv:1003.5537
- Bibcode:
- 2010PhRvB..82l5322S
- Keywords:
-
- 73.23.-b;
- 05.45.Mt;
- 03.65.Sq;
- 05.40.-a;
- Electronic transport in mesoscopic systems;
- Quantum chaos;
- semiclassical methods;
- Semiclassical theories and applications;
- Fluctuation phenomena random processes noise and Brownian motion;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 13 pages, 7 figures