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Long-range inverse two-spin correlations in one-dimensional Potts lattices

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Abstract

The inverse two-spin correlation function of a one-dimensional three-state Potts lattice with constant nearest-neighbor interactions in a uniform external field is derived exactly. It is shown that the external field induces long-range correlations. The inverse two-spin correlation function decays in a monotonie exponential fashion for a ferromagnetic lattice, while it decays in an oscillatory exponential fashion for an antiferromagnetic lattice. With no external field the inverse two-spin correlation function has a finite range equal to that of the interactions.

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Tejero, C.F., Cuesta, J.A. & Brito, R. Long-range inverse two-spin correlations in one-dimensional Potts lattices. J Stat Phys 56, 33–42 (1989). https://doi.org/10.1007/BF01044229

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  • DOI: https://doi.org/10.1007/BF01044229

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