Quantum LC circuits with charge discreteness: normal and anomalous spectrum

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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References in corpus (4)

• Kondo model for the "0.7 anomaly" in transport through a quantum point contact
• Density dependent spin polarisation in ultra low-disorder quantum wires
• Mesoscopic circuits with charge discreteness:quantum transmission lines
• Intrinsic decoherence and classical-quantum correspondence in two coupled delta-kicked rotors

Cited by in corpus (2)

• Wavefront solution in extended quantum circuits with charge discreteness
• Quantum capacitor with discrete charge-anticharge: spectrum and forces