Hidden Symmetries in Nano-magnets

M. Preda; S. E. Barnes

Hidden Symmetries in Nano-magnets

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arxiv cond-mat/0112398 v1 pith:YGN5FVPE submitted 2001-12-20 cond-mat.mes-hall cond-mat.stat-mech

M. Preda , S. E. Barnes This is my paper · ORCID

classification cond-mat.mes-hallcond-mat.stat-mech

keywords hiddensymmetriesnano-magnetsoperatorspinsymmetryvaluesalgebraic

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abstract

The hidden symmetry of certain nano-magnets leads to many of the levels being doubly degenerate for periodic values of the Zeeman energy. Corresponding to such a symmetry is an operator, $K_{n}$, related to the time reversal operator, and which commutes with the Hamiltonian. The degeneracies for whole integer spin values are often similar to the Kramer's degeneracy for half-integer spin. An all algebraic method for constructing Hamiltonians with such hidden symmetries and different crystal symmetries is described.

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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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