One More Technique for the Dimer Problem
- 1 October 1969
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (10) , 1881-1884
- https://doi.org/10.1063/1.1664774
Abstract
The problem of counting the dimer coverings of a square lattice is recast as a counting of coverings by oriented closed loops. Thus the answer is expressed as the value of a suitable permanent. This permanent is transformed to a determinant, which on evaluation recovers the familiar result.Keywords
This publication has 6 references indexed in Scilit:
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- New Approach to the Ising ProblemJournal of Mathematical Physics, 1966
- Dimer Statistics and Phase TransitionsJournal of Mathematical Physics, 1963
- Statistical Mechanics of Dimers on a Plane LatticePhysical Review B, 1961
- New Solution of the Ising Problem for a Rectangular LatticeThe Journal of Chemical Physics, 1960
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder TransitionPhysical Review B, 1944