Generalized Elitzur's Theorem and Dimensional Reduction
Statistical Mechanics
2009-11-10 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We extend Elitzur's theorem to systems with symmetries intermediate between global and local. In general, our theorem formalizes the idea of {\it dimensional reduction}. We apply the results of this generalization to many systems that are of current interest. These include liquid crystalline phases of Quantum Hall systems, orbital systems, geometrically frustrated spin lattices, Bose metals, and models of superconducting arrays.
Cite
@article{arxiv.cond-mat/0410599,
title = {Generalized Elitzur's Theorem and Dimensional Reduction},
author = {Cristian D. Batista and Zohar Nussinov},
journal= {arXiv preprint arXiv:cond-mat/0410599},
year = {2009}
}
Comments
10 pages, 1 figure