Weak Charge Quantization on Superconducting Islands

Details Weak Charge Quantization on Superconducting Islands Weak Charge Quantization on Superconducting Islands

2002-03-28

arxiv.org/abs/cond-mat/0203586v1

Phys. Rev. B 66, 054502 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

21 pages, 4 eps figures, RevTeX

Scientific paper

10.1103/PhysRevB.66.054502

We consider the Coulomb blockade on a superconductive quantum dot strongly coupled to a lead through a tunnelling barrier and/or normal diffusive metal. Andreev transport of the correlated pairs leads to quantum fluctuations of the charge on the dot. These fluctuations result in exponential renormalization of the effective charging energy. We employ two complimentary ways to approach the problem, leading to the coinciding results: the instanton and the functional RG treatment of the non-linear sigma model. We also derive the charging energy renormalization in terms of arbitrary transmission matrix of the multi-channel interface.

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