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Ising-Model Spin Correlations

J. Math. Phys. 9, 836 (1968); doi:10.1063/1.1664650

Issue Date: June 1968

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Robert E. Hartwig
Baker Laboratory, Cornell University, Ithaca, New York

John Stephenson
Department of Mathematics, University of Adelaide, Adelaide, South Australia
In this paper we study a class of planar Ising lattices which have two or more directions along which the pair-correlation function admits a Toeplitz determinant representation. On the basis of the recently developed theory of Toeplitz determinants, we discuss the asymptotic behavior of these correlations at the critical point. ©1968 The American Institute of Physics
History: Received 11 November 1967
Permalink: http://link.aip.org/link/?JMAPAQ/9/836/1
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ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (27)

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  2. Since we only deal with pair correlations we simply refer to them as correlations.
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  17. For convenience all the constant factors in the definition of R and R* have been omitted.
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  27. See Ref. 16, Eq. (5.70).
  28. In Ref. 4, Eq. (80), z1 and z3 should be interchanged with z2 and z4, respectively, and in Eq. (17) the second term should read g1g3beta2.

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