Generalized Elitzur's Theorem and Dimensional Reduction

Details Generalized Elitzur's Theorem and Dimensional Reduction Generalized Elitzur's Theorem and Dimensional Reduction

2004-10-25

arxiv.org/abs/cond-mat/0410599v2

Phys.Rev. B72 (2005) 045137

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure

Scientific paper

10.1103/PhysRevB.72.045137

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.

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