Abstract
In this work the static spin correlation of an isotropicX—Y-chain with free ends at zero temperature is dealt with. Following the method of Lieb, Schultz, Mattis the problem is reduced to the evaluation of a determinant of the Cauchy type. With regard to the transverse correlation function we find a change from aR −3/4 to aR −1/2 behavior if the correlated spins move away from the boundary at fixed mutual distanceR.
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References
Lieb, E., Schultz, T., Mattis, D.: Ann. of Phys.16, 941 (1961)
McCoy, B.: Phys. Rev.173, 531 (1968)
Barouch, E. in Lectures in Theoretical Physics, Vol.XIV B Edited by W.W. Brittin, Boulder Colorado: Colorado Associated University Press 1973
McCoy, B., Wu T.: The two-dimensional Ising model, p. 261, Cambridge Massachusetts: Harvard University Press 1973
Barnes, E.W.: Quart. J. Math.31, 264 (1900)
Binder, K., Hohenberg, P.C.: Phys. Rev. B6, 3461 (1972)
McCoy, B., Wu, T.: Phys. Rev.162, 436 (1967)
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Mikeska, H.J., Pesch, W. Boundary effects on static spin correlation functions in the isotropicX—Y chain at zero temperature. Z Physik B 26, 351–353 (1977). https://doi.org/10.1007/BF01570745
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DOI: https://doi.org/10.1007/BF01570745