Date of Original Version
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.
Kurmann, J., Thomas, H., & Müller, G. (1982). Antiferromagnetic long-range order in the anisotropic quantum spin chain. Physica A: Statistical Mechanics and its Applications, 112(1-2), 235-255. doi: 10.1016/0378-4371(82)90217-5
Available at: http://dx.doi.org/10.1016/0378-4371(82)90217-5
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