Generalized Elitzur's Theorem and Dimensional Reduction

Cristian D. Batista; Zohar Nussinov

doi:10.1103/physrevb.72.045137

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arXiv · cond-mat/0410599

Generalized Elitzur's Theorem and Dimensional Reduction

Cristian D. Batista·Zohar Nussinov

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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.

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Cristian D. Batista, Zohar Nussinov. 2005-03-10. Generalized Elitzur's Theorem and Dimensional Reduction. https://doi.org/10.1103/physrevb.72.045137

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