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  • Access by Xinjiang University

Free Energy of the Antiferromagnetic Linear Chain

Robert B. Griffiths*,†

  • Physics Department, University of California, San Diego, La Jolla, California

  • *National Science Foundation Postdoctoral Fellow.
  • Present address: Physics Department, Carnegie Institute of Technology, Pittsburgh 13, Pennsylvania.

Phys. Rev. 136, A751 – Published 2 November, 1964

DOI: https://doi.org/10.1103/PhysRev.136.A751

Abstract

Rigorous upper and lower bounds for the free energy of the antiferromagnetic Heisenberg linear chain are obtained from general convexity properties of the free energy. The lower bound is here derived; the upper bound has been obtained previously by Bulaevskii. Both are compared with the calculations of Bonner and Fisher for finite chains.

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