Ordering of the Antiferromagnetic Heisenberg Model on a Pyrochlore Slab

Details Ordering of the Antiferromagnetic Heisenberg Model on a Pyrochlore Slab Ordering of the Antiferromagnetic Heisenberg Model on a Pyrochlore Slab

2002-01-10

arxiv.org/abs/cond-mat/0201144v1

published in J. Phys. Soc. Jpn. 70 (2001) 3695

Physics

Condensed Matter

Statistical Mechanics

26 figures

Scientific paper

Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. The model is expected to serve as a reference system of SrCrGaO compound studied extensively. In sharp contrast to the kagom\'e Heisenberg antiferromagnet, the model exhibits locally non-coplanar spin structures at low temperatures, bearing nontrivial chiral degrees of freedom. We find that under certain conditions the model exhibits a novel Kosterlitz-Thouless-type transition at a finite temperature associated with these chiral degrees of freedom. Implications to experiments are discussed.

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