Hidden Symmetries in Nano-magnets
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, Kn, 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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