Europhys. Lett.
Volume 69, Number 1, January 2005
Page(s) 116 - 120
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 08 December 2004
Europhys. Lett., 69 (1), pp. 116-120 (2005)
DOI: 10.1209/epl/i2004-10309-0

Quantum $\mth{LC}$ circuits with charge discreteness: Normal and anomalous spectrum

J. C. Flores

Departamento de Física, Universidad de Tarapacá - Casilla 7-D, Arica, Chile

received 19 July 2004; accepted in final form 29 October 2004
published online 8 December 2004

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 $x\sim 0.7$.

73.23.-b - Electronic transport in mesoscopic systems.
73.63.-b - Electronic transport in nanoscale materials and structures.
73.21.-b - Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems.

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