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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/74896


    Title: Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Nonbipartite Lattice
    Authors: Wu, F. Y.;Tzeng, Wen-Jer;Izmailian, N. Sh.
    Contributors: 淡江大學物理學系
    Date: 2011
    Issue Date: 2012-02-14 16:15:20 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: 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.
    Relation: Physical Review E 83(1), 011106(6pages)
    DOI: 10.1103/PhysRevE.83.011106
    Appears in Collections:[物理學系暨研究所] 期刊論文

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