2001/08/27 by J. Schnack, H. -J. Schmidt, H.-J. Schmidt +2 · 5 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1007/s10051-001-8701-6
published as Eur. Phys. J. B 24 (2001) 475 · 11 pages, 4 figures, submitted to Eur. Phys. J. B
arxiv created 2001/08/27 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For many spin systems with constant isotropic antiferromagnetic next-neighbour Heisenberg coupling the minimal energies Emin(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.