Abstract
AbstractWe consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin $$S\ge 1/2$$
S
≥
1
/
2
. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature.
Funder
NCN Poland
European Research Council
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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