On the Dimer Problem and the Ising Problem in Finite 3-dimensional Lattices

  • Martin Loebl
DOI: https://doi.org/10.37236/1646

Abstract

We present a new expression for the partition function of the dimer arrangements and the Ising partition function of the 3-dimensional cubic lattice. We use the Pfaffian method. The partition functions are expressed by means of expectations of determinants and Pfaffians of matrices associated with the cubic lattice.

Published
2002-07-08
Issue
Volume 9 (2002)
Article Number
R30