Mesoscopic circuits with charge discreteness:quantum transmission lines
Mesoscale and Nanoscale Physics
2009-11-07 v1
Abstract
We propose a quantum Hamiltonian for a transmission line with charge discreteness. The periodic line is composed of an inductance and a capacitance per cell. In every cell the charge operator satisfies a nonlinear equation of motion because of the discreteness of the charge. In the basis of one-energy per site, the spectrum can be calculated explicitly. We consider briefly the incorporation of electrical resistance in the line.
Cite
@article{arxiv.cond-mat/0110027,
title = {Mesoscopic circuits with charge discreteness:quantum transmission lines},
author = {J. C. Flores},
journal= {arXiv preprint arXiv:cond-mat/0110027},
year = {2009}
}
Comments
11 pages. 0 figures. Will be published in Phys.Rev.B