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Local critical behaviour at impurities in Ising-type systems

Author

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  • Holz, A.
  • Sorgen, A.
  • Bennemann, K.H.

Abstract

We study the critical behaviour of the hyperfine field hH which is observed to depend on the probing atom and to differ from the bulk. A classical Ising-type model is used where the probing atom is assumed to change locally the pair interaction. The quantities determining hH are expressed in terms of higher order correlation functions of the unperturbed problem. Using a result of Lebowitz for ferromagnetic pair interaction, it is shown that in the true critical temperature range hH should show the same critical behaviour as in the bulk. This holds also in the presence of impurities and finite impurity concentration. Based on identities satisfied by the correlation functions obtained through a spin decoupling operation it is conjectured that the above result also holds for mixed and finite ranged interaction. An explanation of the experimental results for Ni is attempted.

Suggested Citation

  • Holz, A. & Sorgen, A. & Bennemann, K.H., 1977. "Local critical behaviour at impurities in Ising-type systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(1), pages 145-157.
    • Handle: RePEc:eee:phsmap:v:87:y:1977:i:1:p:145-157
    DOI: 10.1016/0378-4371(77)90172-8
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    1. Binder, Arnold & Green, Robert P. & Newkirk, Martha, 1973. "University-police cooperative approach to juvenile diversion: Evaluating its applicability and effectiveness," Journal of Criminal Justice, Elsevier, vol. 1(3), pages 255-258.
    2. Donald A. Windsor, 1970. "A format for the standardized citation of both published and unpublished documents," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 21(3), pages 195-197, May.
    3. Hohenberg, Paul, 1972. "Change in Rural France in the Period of Industrialization, 1830–1914," The Journal of Economic History, Cambridge University Press, vol. 32(1), pages 219-240, March.
    4. Feng-Yao Lee & Keith E. Phillips, 1971. "Differences in Consumption Patterns of Farm and Nonfarm Households in the United States," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 53(4), pages 573-582.
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