Electromagnetic Coulomb Gas with Vector Charges and "Elastic'' Potentials : Renormalization Group Equations
Statistical Mechanics
2009-11-13 v1 Disordered Systems and Neural Networks
Abstract
We present a detailed derivation of the renormalization group equations for two dimensional electromagnetic Coulomb gases whose charges lie on a triangular lattice (magnetic charges) and its dual (electric charges). The interactions between the charges involve both angular couplings and a new electromagnetic potential. This motivates the denomination of ``elastic'' Coulomb gas. Such elastic Coulomb gases arise naturally in the study of the continuous melting transition of two dimensional solids coupled to a substrate, either commensurate or with quenched disorder.
Cite
@article{arxiv.0707.2667,
title = {Electromagnetic Coulomb Gas with Vector Charges and "Elastic'' Potentials : Renormalization Group Equations},
author = {David Carpentier and Pierre Le Doussal},
journal= {arXiv preprint arXiv:0707.2667},
year = {2009}
}