Ill-Behaved Convergence of a Model of the Gd3Ga5O12 Garnet Antiferromagnet with Truncated Magnetic Dipole-Dipole Interactions

Abstract

Previous studies have found that calculations which consider long-range magnetic dipolar interactions truncated at a finite cut-off distance Rc predict spurious (unphysical) long-range ordered phases for Ising and Heisenberg systems on the pyrochlore lattice. In this paper we show that, similar to these two cases, calculations that use truncated dipolar interactions to model the Gd3Ga5O12 garnet antiferromagnet also predict unphysical phases with incommensurate ordering wave vector q_ord that is very sensitive to the dipolar cut-off distance Rc.

7 pages, 2 color figures; Proceedings of the HFM2006 conference, to appear in a special issue of J. Phys.: Condens. Matter

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• Thermodynamic Properties of the Dipolar Spin Ice Model
• Theory of paramagnetic scattering in highly frustrated magnets with long-range dipole-dipole interactions: The case of the Tb2Ti2O7, pyrochlore antiferromagnet
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• Dispersionless spin waves in Gadolinium Gallium Garnet
• Field induced magnetic order in the frustrated magnet Gadolinium Gallium Garnet
• Anisotropic phase diagram and spin fluctuations of the hyperkagome magnet Gd3Ga5O12 as revealed by sound velocity measurements
• Model of the low temperature magnetic phases of gadolinium gallium garnet