Critical Anisotropies of a Geometrically-Frustrated Triangular-Lattice Antiferromagnet - Condensed Matter > Strongly Correlated ElectronsReport as inadecuate




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Abstract: This work examines the critical anisotropy required for the local stabilityof the collinear ground states of a geometrically-frustrated triangular-latticeantiferromagnet TLA. Using a Holstein-Primakoff expansion, we calculate thespin-wave frequencies for the 1, 2, 3, 4, and 8-sublattice SL ground statesof a TLA with up to third neighbor interactions. Local stability requires thatall spin-wave frequencies are real and positive. The 2, 4, and 8-SL phasesbreak up into several regions where the critical anisotropy is a differentfunction of the exchange parameters. We find that the critical anisotropy is acontinuous function everywhere except across the 2-SL-3-SL and 3-SL-4-SL phaseboundaries, where the 3-SL phase has the higher critical anisotropy.



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

Source: https://arxiv.org/







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