Ground states of antiferromagnetic hierarchical Dyson models
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 97-104
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.
@article{TMF_1983_57_1_a10,
author = {Ya. G. Sinai},
title = {Ground states of antiferromagnetic hierarchical {Dyson} models},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {97--104},
year = {1983},
volume = {57},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a10/}
}
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/
[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