Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction
arXiv:0704.2702 · doi:10.1103/PhysRevB.76.075330
Abstract
We investigate the influence of spin-orbit interaction on ballistic transport through chaotic cavities by using semiclassical methods. Our approach is based on the Landauer formalism and the Fisher-Lee relations, appropriately generalized to spin-orbit interaction, and a semiclassical representation of Green functions. We calculate conductance coefficients by exploiting ergodicity and mixing of suitably combined classical spin-orbit dynamics, and making use of the Sieber-Richter method and its most recent extensions. That way we obtain weak anti-localization and confirm previous results obtained in the symplectic ensemble of Random Matrix Theory.
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- Quantum Corrections to Fidelity Decay in Chaotic Systems
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- Semiclassical Theory for Decay and Fragmentation Processes in Chaotic Quantum Systems
- Universal Features of Spin Transport and Breaking of Unitary Symmetries
- Chaotic Transport in the Symmetry Crossover Regime with a Spin-orbit Interaction