Quantum LC circuits with charge discreteness: normal and anomalous spectrum
J. C. Flores
Abstract
A solvable quantum LC circuit with charge discreteness is studied. Two discrete spectral branches are obtained: (i) the normal branch corresponding to a charged capacitor with integer effective charge k=qen (qe elementary charge, n integer) and (ii) the anomalous branch where the energy is related to non-integer effective charge k=qe(n-x) in the capacitor. For usual mesoscopics data like quantum point contact we found x 0.7.
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