Critical anisotropies of a geometrically frustrated triangular-lattice antiferromagnet

M. Swanson, J. T. Haraldsen, R. S. Fishman

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

This work examines the critical anisotropy required for the local stability of the collinear ground states of a geometrically frustrated triangular-lattice antiferromagnet (TLA). Using a Holstein-Primakoff expansion, we calculate the spin-wave frequencies for the one-, two-, three-, four-, and eight-sublattice (SL) ground states of a TLA with up to third neighbor interactions. Local stability requires that all spin-wave frequencies are real and positive. The two-, four-, and eight-SL phases break up into several regions where the critical anisotropy is a different function of the exchange parameters. We find that the critical anisotropy is a continuous function everywhere except across the two-SL/three-SL and three-SL/four-SL phase boundaries, where the three-SL phase has the higher critical anisotropy.

Original languageEnglish
Article number184413
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume79
Issue number18
DOIs
StatePublished - May 1 2009

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