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 | Mattis, Daniel C. | Ground state of interacting spins | The question is posed of how the ground state of the Heisenberg Hamiltonian H= - ΣFij Si-Sj depends on the magnitude s of N interacting spins, particularly in the case of long-ranged oscillatory interactions Fij. It is discussed whether fixing the geometry and the bond strengths Fij suffices to d... | Ground states; Interacting spin; Ruderman-Kittel interaction | 1963-04 |
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 | Mattis, Daniel C. | Ordering energy levels of interacting spin systems | The total spin S is a good quantum number in problems of interacting spins. We have shown that for rather general antiferromagnetic or ferrimagnetic Hamiltonians, which need not exhibit translational invariance, the lowest energy eigenvalue for each value of S [denoted E(S) ] is ordered in a natural... | Interacting spin; Energy levels; Ferrimagnetic arrays | 1962 |