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Continuous exponents of spin correlation functions of inhomogeneous layered ising models

  • 1. Statistical Mechanics and the Riemann Monodromy Problem
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The Riemann Problem, Complete Integrability and Arithmetic Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 925))

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Abstract

In this note we consider the inhomogeneous layered Ising model and we present a general formalism for expressing as a Toeplitz determinant the correlation of two spins in a row possessing reflection symmetry. For the special case where there is one altered row of horizontal bonds E1′ in an otherwise homogeneous lattice we discuss the correlations in detail and show that the critical exponents β and ν depend on E1′.

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References

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Authors and Affiliations

  1. Institute for Theoretical Physics, State University of New York at Stony Brook, 11794, Stony Brook, New York

    Barry M. McCoy & Jacques H. H. Perk

Authors
  1. Barry M. McCoy
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  2. Jacques H. H. Perk
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David V. Chudnovsky Gregory V. Chudnovsky

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© 1982 Springer-Verlag

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McCoy, B.M., Perk, J.H.H. (1982). Continuous exponents of spin correlation functions of inhomogeneous layered ising models. In: Chudnovsky, D.V., Chudnovsky, G.V. (eds) The Riemann Problem, Complete Integrability and Arithmetic Applications. Lecture Notes in Mathematics, vol 925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093496

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  • DOI: https://doi.org/10.1007/BFb0093496

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11483-3

  • Online ISBN: 978-3-540-39152-4

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