Abstract
The strictly finite range of the direct correlation function for a homogeneous nearest neughbor Ising chain is shown to persist in the presence of arbitrary site-dependent coupling constants and an arbitrary external field. A method is developed to examine the range of the direct correlation function for many-neighbor interactions. It is found from numerical examples that, in general, third-neighbor and higher interactions induce long-range direct correlations, as does the presence of a field in the second-neighbor case.
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J. K. Percus and A. Robledo, to be published.
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Borzi, C., Ord, G. & Percus, J.K. The direct correlation function of a one-dimensional Ising model. J Stat Phys 46, 51–66 (1987). https://doi.org/10.1007/BF01010330
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DOI: https://doi.org/10.1007/BF01010330