| Exact solution of a monomer-dimer problem: A single boundary monomer on a nonbipartite lattice. | |
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MedLine Citation:
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PMID: 21405660 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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We solve the monomer-dimer problem on a nonbipartite lattice, a simple quartic lattice with cylindrical boundary conditions, with a single monomer residing on the boundary. Due to the nonbipartite nature of the lattice, the well-known method of solving single-monomer problems with a Temperley bijection cannot be used. In this paper, we derive the solution by mapping the problem onto one of closed-packed dimers on a related lattice. Finite-size analysis of the solution is carried out. We find from asymptotic expansions of the free energy that the central charge in the logarithmic conformal field theory assumes the value c=-2. |
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Authors:
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F Y Wu; Wen-Jer Tzeng; N Sh Izmailian |
Publication Detail:
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Type: Journal Article Date: 2011-01-10 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 83 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2011 Jan |
Date Detail:
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Created Date: 2011-03-16 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 011106 Citation Subset: IM |
Affiliation:
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Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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