Coulomb Charging Effects for Finite Channel Number
Georg Goeppert, Hermann Grabert, Christian Beck
Abstract
We consider quantum fluctuations of the charge on a small metallic grain caused by virtual electron tunneling to a nearby electrode. The average electron number and the effective charging energy are determined by means of perturbation theory in the tunneling Hamiltonian. In particular we discuss the dependence of charging effects on the number N of tunneling channels. Earlier results for N>>1 are found to be approached rather rapidly with increasing N.
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