Lieb-Schultz-Mattis in Higher Dimensions

Preprint

27 May 2003

preprint
Published by arXiv in arXiv

Abstract

A generalization of the Lieb-Schultz-Mattis theorem to higher dimensional spin systems is shown. The result is based on a set of loop operators, analogous to those used in gauge theories, defined in terms of the spin operators of the theory. We also obtain various cluster bounds on expectation values for gapped systems.

Keywords

LIEB SCHULTZ MATTIS
HIGHER DIMENSIONS
DIMENSIONAL SPIN
SCHULTZ MATTIS
SPIN SYSTEMS
THEORIES

All Related Versions

Version 1, 2003-05-21, ArXiv
Version 2, 2003-05-27, ArXiv
Version 3, 2003-06-06, ArXiv
Version 4, 2003-08-25, ArXiv
Version 5, 2003-12-12, ArXiv
Published version: Physical Review B, 69 (10), 104431.

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