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On the Ground State of Ferromagnetic Hamiltonians

J. Dittrich·V. I. Inozemtsev
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Abstract

It is generally believed that the ground state of the ferromagnetic Heisenberg-Dirac-Van Vleck Hamiltonians acting on s=1/2 spins of a lattice with N sites has the maximal possible value of the total spin S=N/2 and is N+1 times degenerate. We present a rigorous proof of this statement, independent of the lattice dimension and topology.

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J. Dittrich, V. I. Inozemtsev. 2000-12-28. On the Ground State of Ferromagnetic Hamiltonians. https://arxiv.org/abs/math-ph/0012048

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