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Frustration effects in antiferromagnetic molecules: the cuboctahedron

arXiv:0810.2165 · doi:10.1016/j.poly.2008.10.017

Abstract

Frustration of magnetic systems which is caused by competing interactions is the driving force of several unusual phenomena such as plateaus and jumps of the magnetization curve as well as of unusual energy spectra with for instance many singlet levels below the first triplet state. The antiferromagnetic cuboctahedron can serve as a paradigmatic example of certain frustrated antiferromagnets. In addition it has the advantage that its complete energy spectrum can be obtained up to individual spin quantum numbers of s=3/2 (16,777,216 states).

8 pages, 17 figures, accepted for publication in Polyhedron, proceedings of the ICMM 2008 in Florence