$D$-dimensional Arrays of Josephson Junctions, Spin Glasses and $q$-deformed Harmonic Oscillators
Condensed Matter
2009-10-22 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We study the statistical mechanics of a -dimensional array of Josephson junctions in presence of a magnetic field. In the high temperature region the thermodynamical properties can be computed in the limit , where the problem is simplified; this limit is taken in the framework of the mean field approximation. Close to the transition point the system behaves very similar to a particular form of spin glasses, i.e. to gauge glasses. We have noticed that in this limit the evaluation of the coefficients of the high temperature expansion may be mapped onto the computation of some matrix elements for the -deformed harmonic oscillator.
Keywords
Cite
@article{arxiv.cond-mat/9410088,
title = {$D$-dimensional Arrays of Josephson Junctions, Spin Glasses and $q$-deformed Harmonic Oscillators},
author = {Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/9410088},
year = {2009}
}