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Counterexamples to Ferromagnetic Ordering of Energy Levels
Heisenberg model quantum spin systems simple exclusion process ordering of energy levels Aldous ordering spectral gap
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2011/8/26
Abstract: The Heisenberg ferromagnet has symmetry group ${\rm SU}(2)$. The property known as ferromagnetic ordering of energy levels (FOEL) states that the minimum energy eigenvalue among eigenvectors...
On Random Field Induced Ordering in the Classical XY Model
Random Field Induced Ordering Classical XY Model
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2010/12/13
Consider the classical XY model in a weak random external field pointing along the Y axis with strength . We study the behavior of this model as the range of the interaction is varied.
We prove that...