Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models
arXiv:cond-mat/9711156
Abstract
We discuss some aspects of a new noncombinatorial fermionic approach to the two-dimensional dimer problem in statistical mechanics based on the integration over anticommuting Grassmann variables and factorization ideas for dimer density matrix. The dimer partition function can be expressed as a Gaussian fermionic integral. For regular lattices, the analytic solution then follows by passing to the momentum space for fermions.
LaTeX, 1 + 10 pages, no figures. A talk given at the VIII International Conference on Symmetry Methods in Physics, JINR, Dubna, Russia, July 28 - August 2, 1997, to appear in the proceedings