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A green function approach to the paramagnetic phase of a Heisenberg ferromagnet

Abstract

A higher-order decoupling similar to the first-order Bogolyubov-Tyablikov decoupling is used to find various correlation functions in the paramagnetic region for a Heisenberg ferromagnet. Expressions are given for the susceptibility, the nearest-neighbor correlation, and autocorrelation at the critical point as well as at high temperatures.

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This paper is based on the first author's Oxford University D. Phil, thesis. A preliminary account has been published elsewhere. (1)

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Knapp, R.H., ter Haar, D. A green function approach to the paramagnetic phase of a Heisenberg ferromagnet. J Stat Phys 1, 149–161 (1969). https://doi.org/10.1007/BF01007247

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  • DOI: https://doi.org/10.1007/BF01007247

Key words

  • Paramagnetic phase of Heisenberg ferromagnet
  • Green function methods