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arXiv:1006.0151 [cond-mat.stat-mech]AbstractReferencesReviewsResources

Effects of Quenched Randomness on Classical and Quantum Phase Transitions

Rafael L. Greenblatt

Published 2010-06-01Version 1

This dissertation describes the effect of quenched randomness on first order phase transitions in lattice systems, classical and quantum. It is proven that a large class of quantum lattice systems in low dimension (d <= 2 or, with suitable continuous symmetry, d <= 4) cannot exhibit first-order phase transitions in the presence of suitable ("direct") quenched disorder.

Comments: 100 pages LaTeX (with included style files), 3 EPS figures. Doctoral dissertation
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