Independent magnon states on magnetic polytopes

Details Independent magnon states on magnetic polytopes Independent magnon states on magnetic polytopes

2001-08-27

arxiv.org/abs/cond-mat/0108432v1

Eur. Phys. J. B 24 (2001) 475

Physics

Condensed Matter

Materials Science

11 pages, 4 figures, submitted to Eur. Phys. J. B

Scientific paper

10.1007/s10051-001-8701-6

For many spin systems with constant isotropic antiferromagnetic next-neighbour Heisenberg coupling the minimal energies E_{min}(S) form a rotational band, i.e. depend approximately quadratically on the total spin quantum number S, a property which is also known as Lande interval rule. However, we find that for certain coupling topologies, including recently synthesised icosidodecahedral structures this rule is violated for high total spins. Instead the minimal energies are a linear function of total spin. This anomaly results in a corresponding jump of the magnetisation curve which otherwise would be a regular staircase.

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