Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.74.011102
Title: Logarithmic corrections in the free energy of monomer-dimer model on plane lattices with free boundaries
Authors: Kong, Y. 
Issue Date: 2006
Citation: Kong, Y. (2006). Logarithmic corrections in the free energy of monomer-dimer model on plane lattices with free boundaries. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 74 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.74.011102
Abstract: Using exact computations we study the classical hard-core monomer-dimer models on m×n plane lattice strips with free boundaries. For an arbitrary number v of monomers (or vacancies), we found a logarithmic correction term in the finite-size correction of the free energy per lattice site. The coefficient of the logarithmic correction term depends on the number of monomers present (v) and the parity of the width n of the lattice strip: the coefficient equals to v when n is odd, and v/2 when n is even. The results are generalizations of the previous results for a single monomer in an otherwise fully packed lattice of dimers. We also study the finite-size correction in the low dimer density limit, where the number of dimers d is fixed. In this case the coefficient of the logarithmic correction term equals to d, for both odd and even n. © 2006 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/103515
ISSN: 15393755
DOI: 10.1103/PhysRevE.74.011102
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