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
B. M. McCoy and T. T. Wu, Phys. Rev. 162, 436 (1967).
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Some recent work on inhomogeneous Ising lattices has been made by J.H.H. Perk, Phys. Letts. (to be published).
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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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