Full counting statistics of Andreev reflection: Signatures of a quantum transition
G. C. Duarte-Filho, A. M. S. Macêdo
DOI 10.1103/PhysRevB.80.035311 · Physical Review B
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Abstract
Employing semiclassical circuit theory, we study the charge-transfer statistics of a quantum dot (chaotic cavity) connected to a normal metal and a superconducting reservoir via two non-ideal barriers. We assume the absence of a magnetic field and a low-energy regime so that the energy dependence of the Andreev reflection eigenvalues can be neglected. We calculate analytically the first three charge-transfer cumulants and the density of Andreev reflection eigenvalues. We observe an interesting signature in the charge-transfer cumulants of a quantum transition that takes place in the chaotic cavity [A. M. S. Macêdo and A. M. C. Souza, Phys. Rev. E 71, 066218 (2005)] associated with the formation of Fabry-Perot modes. Our results compare well with numerical simulations obtained from the scattering matrix formalism.
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