Solution of the Dimer Problem by the Transfer Matrix Method
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.
KeywordsIsing Model Transfer Matrix Transfer Matrix Method Cyclic Boundary Condition Versus Bond
Unable to display preview. Download preview PDF.
- 2.We make no attempt to give a complete bibliography because an excellent one is given in H. S. Green and C. A. Hurst, Order-Disorder Phenomena (Interscience Publishers, Inc., New York, 1964 ).Google Scholar
- 4.P. W. Kasteleyn, Physica 27, 1209 (1962); J. Math. Phys. 4, 287 (1963); H. N. V. Temperley and M. E. Fisher, Phil. Mag. 6, 1061 (1961); M. E. Fisher, Phys. Rev. 124, 1664 (1961).Google Scholar