# Tunneling non perturbativo nella single electron box

Falci, G. and Heins, J. and Schön, Gerd and Zimanyi, Gergely T. and Fazio, R. and Giaquinta, G. (1994) Tunneling non perturbativo nella single electron box. Accademia Peloritana dei Pericolanti Classe FF.MM.NN., LXXII (Supplement 1). pp. 485-493.

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## Abstract

We study the interplay of strong tunneling and charging effects in the single electron box. Tunneling mixes different charge states and in the nonperturbative regime the charge in the islands may be strongly screened. When charge states are nearly degenerate the screning of the charge is strong even in the weak tunneling regime. Virtual tunneling processes reduce both the level splitting $\Delta$ and the tunneling strength $\alpha$. The charge on the island and the voltage at the junction have been calculated. In the strong tunnellng regime also nondegenerate states are affected by tunneling. Strong-coupling scaling renormalizes the effective capacitance, a result which we confirm by Monte Carlo simulations. The tunneling strength $\alpha$ scales to smaller values into the regime where the weak-coupling scaling applies. We propose a $two stage scaling$ procedure which provides the unified picture for the problem.

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Item Type: Article M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1994 > Supplemento 1 parte 2M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1994 > Supplemento 1 parte 2M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1994 > Supplemento 1 parte 2M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere Filosofia e belle Arti > 1994 > Supplemento 1 parte 2 Mr Nunzio Femminò 17 Apr 2014 10:10 17 Apr 2014 10:10 http://cab.unime.it/mus/id/eprint/5169