Antiferromagnetic Long-Range Order in the Anisotropic Quantum Spin Chain

Authors

Josef Kurmann
Harry Thomas
Gerhard Müller, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

5-1982

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 = h_N in field space where the ground state is of the classical two-sublattice Néel type with non-zero antiferromagnetic long-range order. At h_N there are no correlated quantum fluctuations. We give upper and lower bounds for the critical field h_c where antiferromagnetic long-range order is suppressed by the field. The zero-temperature phase diagrams are discussed for a few representative cases.

Citation/Publisher Attribution

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