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

1983/04/11 by F. D. M. Haldane · 3,715 citations
Physics and Astronomy · Mathematics · #Physics of Superconductivity and Magnetism #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Physics #Nonlinear system #Spin (aerodynamics) #Quantum mechanics #Heisenberg model #Soliton #Integer (computer science) #Antiferromagnetism #Sigma model #Anisotropy #Field (mathematics) #Mathematical physics #Mathematics

paper · pdf · doi:10.1103/physrevlett.50.1153

published in Physical Review Letters 50(15), 1153-1156 (American Physical Society)

openalex publication_date 1983/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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.

Citations

• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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