Geodesic
Uniqueness of Gibbs limit distributions for the perturbed Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 3, pp. 335-342

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It is proved that in the perturbed Ising model at sufficiently large values of the inverse temperature $\beta\, (\beta >\beta_0)$ and at non-critical values of the external field $\mu$, Gibbs limiting distribution is unique. 
@article{TMF_1975_22_3_a5,
     author = {D. G. Martirosyan},
     title = {Uniqueness of {Gibbs} limit distributions for the perturbed {Ising} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {335--342},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_22_3_a5/}
}
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D. G. Martirosyan. Uniqueness of Gibbs limit distributions for the perturbed Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 3, pp. 335-342. http://geodesic.mathdoc.fr/item/TMF_1975_22_3_a5/