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Quantum LC circuits with charge discreteness: normal and anomalous spectrum

J. C. Flores
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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 $k=q_{e}n$ ($q_{e}$ elementary charge, $n$ integer) and (ii) the anomalous branch where the energy is related to non-integer effective charge $k=q_{e}(n-x)$ in the capacitor. For usual mesoscopics data like quantum point contact we found $x\sim 0.7$.

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J. C. Flores. 2005-06-30. Quantum LC circuits with charge discreteness: normal and anomalous spectrum. https://doi.org/10.1209/epl%2Fi2004-10309-0

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