A formula for the hopping expansion of 8-vertex models coupled to an external field

Details A formula for the hopping expansion of 8-vertex models coupled to an external field A formula for the hopping expansion of 8-vertex models coupled to an external field

1998-11-10

arxiv.org/abs/cond-mat/9811139v2

Int.J.Mod.Phys. A14 (1999) 4853

Physics

Condensed Matter

Statistical Mechanics

Revised version, to appear in Int. J. Mod. Phys. A. Remarks and references added, typos corrected

Scientific paper

10.1142/S0217751X99002293

We study a generalized 8-vertex model where the vertices are coupled to a locally varying field. We rewrite the partition function as an integral over Grassmann variables. In this form it is possible to explicitly evaluate all terms of the hopping expansion. Applications of the resulting formula, in particular its relation to 2-D lattice field theories with fermions are discussed.

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