Spin-wave interactions in quantum antiferromagnets

Abstract

We study spin-wave interactions in quantum antiferromagnets by expressing the usual magnon annihilation and creation operators in terms of Hermitian field operators representing transverse staggered and ferromagnetic spin fluctuations. In this parameterization, which was anticipated by Anderson in 1952, the two-body interaction vertex between staggered spin fluctuations vanishes at long wavelengths. We derive a new effective action for the staggered fluctuations only by tracing out the ferromagnetic fluctuations. To one loop order, the renormalization group flow agrees with the nonlinear-$\sigma$-model approach.

7 pages, no figures; new references added; extended discussion on vertex structure. To appear in Europhysics Letters

References in corpus (1)

• 1/S-expansion study of spin waves in a two-dimensional Heisenberg antiferromagnet

Cited by in corpus (11)

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• Effective spin-wave action for ordered Heisenberg antiferromagnets in a magnetic field
• Quantum criticality of dipolar spin chains
• Thermodynamics of Antiferromagnetic Solids in Magnetic Fields
• Singular spin-wave theory and scattering continua in the cone state of Cs_2CuCl_4