Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models

R. Hayn; V. N. Plechko

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arXiv · cond-mat/9711156

Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models

R. Hayn·V. N. Plechko

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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.

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R. Hayn, V. N. Plechko. 1997-11-17. Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models. https://arxiv.org/abs/cond-mat/9711156

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