Geodesic
Classical Heisenberg model at~zero temperature
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 134-144

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It is shown under a certain rather weak condition on the pair interaction potential: $|\Lambda|^{-1}\sum_{r,r'\in\Lambda}|u_{r,r'}|^2$, that the free energy of the classical Heisenberg model in the ordered as well as disordered case in the limit $T\to0$ converges to the expression corresponding to the self-consistent field approximation. As a by-product, the free energy for the Eguchi–Kawai $U(N)$ gauge model is found for arbitrary dimension $d$ of the lattice. 
@article{TMF_1989_81_1_a11,
     author = {M. V. Shcherbina},
     title = {Classical {Heisenberg} model at~zero temperature},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {134--144},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a11/}
}
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M. V. Shcherbina. Classical Heisenberg model at~zero temperature. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 134-144. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a11/