A Ferromagnetic Lieb-Mattis Theorem

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dc.creatorNachtergaele, Bruno
dc.creatorStarr, Shannon
dc.date2004-08-11
dc.date2005-02-15
dc.date.accessioned2026-07-25T22:28:40Z
dc.descriptionWe prove ferromagnetic ordering of energy levels for XXX Heisenberg chains of any spin and XXZ spin chains with all spins equal to 1/2. 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.
dc.description4 pages, final version, some references added
dc.identifierhttps://arxiv.org/abs/math-ph/0408020
dc.identifierhttp://arxiv.org/abs/math-ph/0408020
dc.identifierPhys. Rev. Lett., 94 (2005) 057206
dc.identifierdoi:10.1103/PhysRevLett.94.057206
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/89438
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subject82B10; 82D40
dc.titleA Ferromagnetic Lieb-Mattis Theorem
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