arXiv · 1105.3974
Dimensional crossover of a frustrated distorted kagome Heisenberg Model: Application to FeCrAs
Abstract
Motivated by recent experimental work on FeCrAs, we study the magnetic properties of classical spin models on the hexagonal Fe$_2$P/ZrNiAl structure (space group $P{\bar{6}}2m$). When both transition metal/rare earth sites carry magnetic moments, one has alternating distorted kagome and triangular lattice layers. Each point of the triangular lattice lies at the centre of a distorted hexagon and actually corresponds to three isolated magnetic atoms: a "trimer". We show that a simple model consisting of antiferromagnetically correlated Heisenberg spins on the frustrated distorted kagome lattice coupling either ferromagnetically or antiferromagnetically to Heisenberg spins at the average position of a trimer, leads to a rich phase diagram, including the possible selection of a $(1/3,1/3,0)$ magnetic order as may have been seen in FeCrAs.
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Travis E. Redpath, John M. Hopkinson, Alton A. Leibel, Hae-Young Kee. 2011-05-19. Dimensional crossover of a frustrated distorted kagome Heisenberg Model: Application to FeCrAs. https://arxiv.org/abs/1105.3974
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