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

Bolte, Jens and Waltner, Daniel (2007) Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction. PHYSICAL REVIEW B, 76 (7): 075330. ISSN 1098-0121,

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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 [IBM J. Res. Dev. 1, 223 (1957); 32, 306 (1988)] and the Fisher-Lee relations [Phys. Rev. B 23, 6851 (1981)], appropriately generalized to spin-orbit interaction, and a semiclassical representation of Green's 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 [Phys. Scr., T T90, 128 (2001); Phys. Rev. Lett. 89, 206801 (2002)] and its most recent extensions. That way, we obtain weak antilocalization and confirm previous results obtained in the symplectic ensemble of random matrix theory.

Item Type: Article
Uncontrolled Keywords: LINEAR-RESPONSE THEORY; FORM-FACTOR; LOCALIZED SCATTERERS; METALLIC CONDUCTION; QUANTUM TRANSPORT; SPATIAL VARIATION; CURRENTS; SYSTEMS; MATRIX; FIELDS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Dec 2020 06:30
Last Modified: 07 Dec 2020 06:33
URI: https://pred.uni-regensburg.de/id/eprint/32472

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