Abstract
It is shown how the monomer-dimer problem can be formulated in terms of a transfer matrix, and hence in terms of simple spin operators as was originally done for the Ising problem. Thus, we rederive the solution to the pure dinier problem without using Pfaffians. The solution is extremely simple once one sees how to formulate the transfer matrix.
Work supported by National Science Foundation Grant GP-685l.
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Lieb, E.H. (2004). Solution of the Dimer Problem by the Transfer Matrix Method. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Condensed Matter Physics and Exactly Soluble Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06390-3_34
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DOI: https://doi.org/10.1007/978-3-662-06390-3_34
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