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Phys. Rev. Lett. 50, 1153–1156 (1983)

Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State

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F. D. M. Haldane
Department of Physics, University of Southern California, Los Angeles, California 90089

Received 31 January 1983; published in the issue dated 11 April 1983

The continuum field theory describing the low-energy dynamics of the large-spin one-dimensional Heisenberg antiferromagnet is found to be the O(3) nonlinear sigma model. When weak easy-axis anisotropy is present, soliton solutions of the equations of motion are obtained and semiclassically quantized. Integer and half-integer spin systems are distinguished.

© 1983 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.50.1153
DOI:
10.1103/PhysRevLett.50.1153
PACS:
75.40.Fa, 03.65.Sq