Showing papers by "Andreas Schadschneider published in 1989"
TL;DR: In this article, the authors derived inversion relations both for the partition function and the transfer matrix, leading to some new exact results for interaction-round-faces models (SIRF) which include the eight-vertex model and the standard Potts model in a decoupling limit.
Abstract: For a special class of “Interaction-Round-Faces’ models (SIRF) which include the eightvertex model and the standard Potts model in a decoupling limit we derive inversion relations both for the partition function and the transfer matrix. These relations lead to some new exact results. In the general case the location of phase transitions is determined which reduces to known results for the Potts model. For the (solvable) self-dual Potts model we calculate all eigenvalues of the transfer matrix, i.e. the excitations of the model, from which the exact correlation length is derived.
42 citations