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Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet
Authors:Joseph G. Conlon  Jan Philip Solovej
Affiliation:(1) Department of Mathematics, University of Michigan, 48109 Ann Arbor, MI, U.S.A.;(2) Department of Mathematics, Princeton University, POB 708, 08544 Princeton, NJ, U.S.A.
Abstract:
The authors obtain an upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet. The zero field bound is, at low temperature, similar to the formula given by the magnon approximation. That is, its functional dependence on temperature is the same but the constant is different.Work partially supported by U.S. National Science Foundation grants DMS 9196047 (JGC) and DMS 9002416 (JPS).
Keywords:82D40  82B20
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