Equivalence between non-bilinear spin-S Ising model and spin-crossover state

Details Equivalence between non-bilinear spin-S Ising model and spin-crossover state Equivalence between non-bilinear spin-S Ising model and spin-crossover state

2011-02-10

arxiv.org/abs/1102.2201v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We propose the mapping for spin-S polynomial of degree 2S onto spin-crossover state. The spin-$S$ polynomial in general can be projected onto non-symmetric degeneracy spin up (high-spin) and spin down (low-spin) momenta. The total number of mapping for each general spin-S is given by $2(2^{2S}-1)$. As an application of this mapping we consider a general non-bilinear spin-S Ising model which can be transformed onto spin-crossover described by Wajnflasz model. Using a further transformation we obtain the partition function of the effective spin-1/2 Ising model, making a suitable mapping this non-symmetric contribution leads us to a spin-1/2 Ising model with a fixed external magnetic field, which in general cannot be solved exactly. However a particular case of non-bilinear spin-S Ising model transformation could become equivalent to an exactly solvable Ising model. The transformed Ising model exhibits a residual entropy, then it should be considered also as a frustrated spin model.

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