Solution of the Dimer Problem by the Transfer Matrix Method

  • Elliott H. Lieb


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.


Ising Model Transfer Matrix Transfer Matrix Method Cyclic Boundary Condition Versus Bond 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Elliott H. Lieb
    • 1
  1. 1.Physics DepartmentNortheastern UniversityBostonUSA

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