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Lost and found: The missing diabolical points in the Fe$_8$ molecular magnet

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arxiv 1011.4326 v2 pith:7A6TV46M submitted 2010-11-18 cond-mat.mes-hall

classification cond-mat.mes-hall
keywords pointsanisotropydiabolicalmagnetmissingpreviouslyalongbeen
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abstract

Certain diabolical points in the tunneling spectrum of the single-molecule magnet Fe$_8$ were previously believed to be have been eliminated as a result of a weak fourth-order anisotropy. As shown by Bruno, this is not so, and the points are only displaced in the magnetic field space along the medium anisotropy direction. The previously missing points are numerically located by following the lines of the Berry curvature. The importance of an experimental search for these rediscovered points is discussed.

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  1. Hidden symmetry at the diabolical points of a biaxial spin

    cond-mat.str-el 2026-07 accept novelty 8.0 of 10

    At every diabolical point of a biaxial spin, two noncommuting spectral-cut projectors commute with the Hamiltonian; their rank gives the exact multiplicity, and a negative determinant gives Chern charge −1 to every lo...

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