Direct algebraic mapping transformation for decorated spin models

Onofre Rojas, S M de Souza
2011 Journal of Physics A: Mathematical and Theoretical  
In this article we propose a general transformation for decorated spin models. The advantage of this transformation is to perform a direct mapping of a decorated spin model onto another effective spin thus simplifying algebraic computations by avoiding the proliferation of unnecessary iterative transformations and parameters that might otherwise lead to transcendental equations. Direct mapping transformation is discussed in detail for decorated Ising spin models as well as for decorated
more » ... isenberg spin models, with arbitrary coordination number and with some constrained Hamiltonian's parameter for systems with coordination number larger than 4 (3) with (without) spin inversion symmetry respectively. In order to illustrate this transformation we give several examples of this mapping transformation, where most of them were not explored yet.
doi:10.1088/1751-8113/44/24/245001 fatcat:drrzr7lo4vfodkt6iwnqwqqem4