Stefano Bellucci, Vadim Ohanyan
A general technique of exact calculation of any correlation functions for the special class of one-dimensional spin models containing small clusters of quantum spins assembled to a chain by alternating with the single Ising spins is proposed. The technique is a natural generalization of that in the models solved by a classical transfer matrices. The general expressions for corresponding matrix operators which are the key components of the technique are obtained. Despite the spatial inhomogeneity, such class of spin chains is proven to have only one correlation length for all types of correlation functions. The technique is illustrated on two examples: symmetric diamond chain and asymmetric sawtooth chain.
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http://arxiv.org/abs/1211.7358
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