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arXiv · 0704.2702

Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction

Jens Bolte·Daniel Waltner
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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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Jens Bolte, Daniel Waltner. 2007-04-20. Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction. https://doi.org/10.1103/physrevb.76.075330

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