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Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models | R. Hayn
; V.N. Plechko
; | Date: |
17 Nov 1997 | Journal: | Yad. Fiz. 61 (1998) 2080-2084 [Phys.At.Nucl. 61 (1998) 1972-1977] | Subject: | Statistical Mechanics | cond-mat.stat-mech hep-lat hep-th | Affiliation: | Dresden University) and V.N. Plechko (JINR Dubna | 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. | Source: | arXiv, cond-mat/9711156 | Services: | Forum | Review | PDF | Favorites |
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