Chiral Kosterlitz-Thouless transition in the frustrated Heisenberg antiferromagnet on a pyrochlore slab

Abstract

Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. In contrast to the kagomé Heisenberg antiferromagnet, the model exhibits locally non-coplanar spin structures at low temperatures, bearing nontrivial chiral degrees of freedom. Under certain conditions, the model exhibits a novel Kosterlitz-Thouless-type transition at a finite temperature associated with these chiral degrees of freedom.

References in corpus (1)

• Ordering of the Antiferromagnetic Heisenberg Model on a Pyrochlore Slab

Cited by in corpus (6)

• The Antiferromagnetic Heisenberg Model on Clusters with Icosahedral Symmetry
• Z2-vortex order of frustrated Heisenberg antiferromagnets in two dimensions
• Freezing and large time scales induced by geometrical frustration
• Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer
• Double-peak specific heat feature in frustrated antiferromagnetic clusters
• Metal-insulator transitions in pyrochlore oxides