Phys. Rev. Lett. 94, 057206 (2005) [4 pages]Ferromagnetic Lieb-Mattis TheoremReceived 10 August 2004; published 11 February 2005 We prove ferromagnetic ordering of energy levels for XXX Heisenberg chains with spins of arbitrary magnitude, thus extending our previous result for the spin-1/2 chain. Ferromagnetic ordering means that the minimum energies in the invariant subspaces of fixed total spin are monotone decreasing as a function of the total spin. This result provides a ferromagnetic analogue of the well-known theorem by Lieb and Mattis about ordering of energy levels in antiferromagnetic and ferrimagnetic systems on bipartite graphs. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.057206
DOI:
10.1103/PhysRevLett.94.057206
PACS:
75.10.Jm, 75.10.Pq, 75.30.Ds
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