It is well known that geometrical frustration of perfect tetrahedra and icosahedra lead to quasi-crystalline phases (see "Geometrical Frustration", J.-F. Sadoc and R. Mosseri, Cambridge (1999)). Can we extend this idea to the magnetic frustration in a geometrically frustrated triangular, Kagome, or pyrochlore lattice and expect similar "quasi-magnetic" or other exotic magnetic order?
I meant "geometrical frustration of perfect tetrahedra and icosahedra for space filling" and I droped "space filling" by mistake.
Thanks for the reference. I have read only the abstract and it looks interesting. I have no access to the APS from home in Christmas holidays but shall read it next week when I shall be to my office. I hope I have clarified in the question that I am looking for a magnetic phase that has no long range translational order but only orientational order. This would then be a magnetic analogue of the quasicrystal. I am curious to see whether the "robust scalar-chiral, insulating spin state" has any resemblance to the magnetic phase I was thinking of.
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