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Coulomb blockade in metallic grains at large conductance

I. S. Beloborodov·A. V. Andreev
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Abstract

We study Coulomb blockade effects in the thermodynamic quantities of a weakly disordered metallic grain coupled to a metallic lead by a tunneling contact with a large conductance $g_T$. We consider the case of broken time-reversal symmetry and obtain expressions for both the {\em ensemble averaged} amplitude of the Coulomb blockade oscillations of the thermodynamic potential and the correlator of its {\em mesoscopic fluctuations} for a finite mean level spacing $δ$ in the grain. We develop a novel method which allows for an exact evaluation of the functional integral arising from disorder averaging. The results and the method are applicable in the temperature range $δ\ll T \ll E_C$.

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I. S. Beloborodov, A. V. Andreev. 2002-01-15. Coulomb blockade in metallic grains at large conductance. https://doi.org/10.1103/physrevb.65.195311

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