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.
Similar content being viewed by others
References
L. S. Ornstein and F. Zernike,Proc. Acad. Sci. Amsterdam 17:793 (1914).
M. E. Fisher,J. Math. Phys. 5:944 (1964).
J. K. Percus,J. Stat. Phys. 16:299 (1977).
C. F. Tejero,J. Stat. Phys. 48:531 (1987).
M. Robert,Phys. Rev. A 29:2854 (1984);Phys. Rev. A 33:2825 (1986).
C. Borzi, G. Ord, and J. K. Percus,J. Stat. Phys. 46:51 (1987).
CRC,Standard Mathematical Tables (Chemical Rubber Publishing Company, Cleveland, Ohio, 1962).
J. Stephenson,Can. J. Phys. 48:1724 (1970).
J. K. Percus,J. Math. Phys. 23:1162 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01044229