The Pfaffian solution of a dimer-monomer problem: Single monomer on the boundary
arXiv:cond-mat/0607647 · doi:10.1103/PhysRevE.74.020104
Abstract
We consider the dimer-monomer problem for the rectangular lattice. By mapping the problem into one of close-packed dimers on an extended lattice, we rederive the Tzeng-Wu solution for a single monomer on the boundary by evaluating a Pfaffian. We also clarify the mathematical content of the Tzeng-Wu solution by identifying it as the product of the nonzero eigenvalues of the Kasteleyn matrix.
4 Pages to appear in the Physical Review E (2006)
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