Interplay between magnetic and spatial order in quasicrystals

Details Interplay between magnetic and spatial order in quasicrystals Interplay between magnetic and spatial order in quasicrystals

2005-09-17

arxiv.org/abs/cond-mat/0509461v1

Philosophical Magazine 86 (2006) 733-739

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 low-resolution colour figures

Scientific paper

10.1080/14786430500363569

The stable magnetisation 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 noncollinear 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.

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