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

F. D. M. Haldane

doi:10.1103/PhysRevLett.50.1153

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

F. D. M. Haldane

Phys. Rev. Lett. 50, 1153 – Published 11 April 1983

See Focus story: Nobel Prize—Topological Phases of Matter

Abstract

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.

Received 31 January 1983

DOI:https://doi.org/10.1103/PhysRevLett.50.1153

Focus

Nobel Prize—Topological Phases of Matter

Published 7 October 2016

The 2016 Nobel Prize in Physics was awarded to theoretical physicists whose work established the role of topology in understanding exotic forms of matter.

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