INVESTIGATION OF SOME SOLUBLE LATTICE SPIN MODELS

摘要

The diagonalization of a class of lattice spin models of a particular structure is first reviewed and secular polynomials for these models are calculated explicitly from the corresponding secular matrices. The structure of the eigenvectors of the given secular matrices is investigated and used to determine the eigenvalues theoretically, and proofs which have not appeared are presented. These results can be compared to the results obtained from the full secular polynomials. (C) 1996 John Wiley & Sons, I Inc. [References: 7]