Deconfinement and criticality in extended two-dimensional dimer models

2003/12/03 by Anders W. Sandvik, Sandvik, Anders W.
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0312097

4 pages, 5 figures. Superseded by cond-mat/0507277

arxiv created 2005/07/12 · arxiv updated 2009/12/01

Abstract

A square-lattice hard-core dimer model with links extending beyond nearest-neighbors is studied using a directed-loop Monte Carlo method. An arbitrarily small fraction of next-nearest-neighbor dimers is found to cause deconfinement, whereas a critical state with r^-2 distance dependence of the dimer-dimer correlations persists in the presence of longer dimers preserving the bipartite graph structure. However, the critical confinement exponent governing the correlation of two test monomers is non-universal. Implications for resonating-valence-bond states are discussed.

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