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