Spin-wave interactions in quantum antiferromagnets

Details Spin-wave interactions in quantum antiferromagnets Spin-wave interactions in quantum antiferromagnets

2005-11-08

arxiv.org/abs/cond-mat/0511199v3

Europhys. Lett. 74, 1067 (2006).

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1209/epl/i2006-10060-6

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.

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