Geodesic
Ground states of antiferromagnetic hierarchical Dyson models
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 97-104 
Ya. G. Sinai. Ground states of antiferromagnetic hierarchical Dyson models. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a10/
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     author = {Ya. G. Sinai},
     title = {Ground states of antiferromagnetic hierarchical {Dyson} models},
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     pages = {97--104},
     year = {1983},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Ground states are constructed for antiferromagnetic hierarchical Dyson models. It is shown that their dependence on the external field can be described by means of functions of devil's stair type.

[1] Aubry S., Solitons and Condensed Matter Physics, eds. A. R. Bishop, T. Schneider, Springer-Verlag, N.-Y., 1978, 264 | DOI | MR

[2] Hubbard J., Phys. Rev. B, 17:2 (1978), 495–505 | DOI | MR

[3] Pokrovsky V. L., Uimin G. V., J. Phys. C: Solid State Phys., 11:16 (1978), 3535–3549 | DOI

[4] Sinai Ya. G., Teoriya fazovykh perekhodov. Strogie rezultaty, Nauka, M., 1980 | MR