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Antiferromagnetic long-range order in the anisotropic quantum spin chain

Josef Kurmann, Harry Thomas and Gerhard Müller

Physica A: Statistical Mechanics and its Applications, 1982, vol. 112, issue 1, 235-255

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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:112:y:1982:i:1:p:235-255

DOI: 10.1016/0378-4371(82)90217-5

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