Hidden Symmetries in Nano-magnets

Details Hidden Symmetries in Nano-magnets Hidden Symmetries in Nano-magnets

2001-12-20

arxiv.org/abs/cond-mat/0112398v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages one figure

Scientific paper

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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