Vedmedenko, E.Y.; Grimm, U. and Wiesendanger, R.
Interplay between magnetic and spatial order in quasicrystals.
Philosophical Magazine, 86(6-8),
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The stable magnetization configurations of antiferromagnets on quasiperiodic tilings are investigated theoretically. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated that the combination of geometric frustration and the quasiperiodic order of atoms leads to complicated non-collinear ground states. The structure can be divided into subtilings of different energies. The symmetry of the subtilings depends on the quasiperiodic order of magnetic moments. The subtilings are spatially ordered. However, the magnetic ordering of the subtilings in general does not correspond to their spatial arrangements. While subtilings of low energy are magnetically ordered, those of high energy can be completely disordered due to local magnetic frustration.
||preprint version cond-mat/0509461 available at http://arxiv.org/abs/cond-mat/0509461
Special Issue: Proceedings of the 9th International Conference on Quasicrystals, 22ï¿½26 May 2005, Part 2 Guest Editors: Cynthia J. Jenks, Daniel J. Sordelet and Patricia Thiel
||quasicrystals; aperiodic tilings; magnetic order; frustration
||Mathematics, Computing and Technology > Mathematics and Statistics
||14 Jul 2006
||06 Dec 2010 17:37
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