Berry phase, topology, and diabolicity in quantum nano-magnets

Details Berry phase, topology, and diabolicity in quantum nano-magnets Berry phase, topology, and diabolicity in quantum nano-magnets

2005-11-18

arxiv.org/abs/quant-ph/0511186v1

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

A topological theory of the diabolical points (degeneracies) of quantum magnets is presented. Diabolical points are characterized by their diabolicity index, for which topological sum rules are derived. The paradox of the the missing diabolical points for Fe8 molecular magnets is clarified. A new method is also developed to provide a simple interpretation, in terms of destructive interferences due to the Berry phase, of the complete set of diabolical points found in biaxial systems such as Fe8.

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