Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-11-17
Yad. Fiz. 61 (1998) 2080-2084 [Phys.At.Nucl. 61 (1998) 1972-1977]
Physics
Condensed Matter
Statistical Mechanics
LaTeX, 1 + 10 pages, no figures. A talk given at the VIII International Conference on Symmetry Methods in Physics, JINR, Dubna
Scientific paper
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.
Hayn Roland
Plechko Vladimir N.
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