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Antiferromagnetic long-range order in the anisotropic quantum spin chain

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  • Kurmann, Josef
  • Thomas, Harry
  • Müller, Gerhard

Abstract

This is a study of the ground-state properties of the one-dimensional spin-s(12⩽s<∞) anisotropic XYZ antiferromagnet in a magnetic field of arbitrary direction. It provides the first rigorous results for the general case of this model in non-zero field. By exact calculations we find the existence of an ellipsoidal surface h = hN in field space where the ground state is of the classical two-sublattice Néel type with non-zero antiferromagnetic long-range order. At hN there are no correlated quantum fluctuations. We give upper and lower bounds for the critical field hc where antiferromagnetic long-range order is suppressed by the field. The zero-temperature phase diagrams are discussed for a few representative cases.

Suggested Citation

  • Kurmann, Josef & Thomas, Harry & Müller, Gerhard, 1982. "Antiferromagnetic long-range order in the anisotropic quantum spin chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 235-255.
    • Handle: RePEc:eee:phsmap:v:112:y:1982:i:1:p:235-255
    DOI: 10.1016/0378-4371(82)90217-5
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    1. Leahmae McCoy, 1971. "The Nursing Home as a Public Utility," Journal of Economic Issues, Taylor & Francis Journals, vol. 5(1), pages 67-76, March.
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