Geodesic
Statistical mechanics of an elastic Ising chain with exchange striction
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 118-127 
A. F. Sadreev. Statistical mechanics of an elastic Ising chain with exchange striction. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 118-127. http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a10/
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     author = {A. F. Sadreev},
     title = {Statistical mechanics of an elastic {Ising} chain with exchange striction},
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     pages = {118--127},
     year = {1983},
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     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The transfer matrix method is used in a rigorous study of the statistical mechanics of an elastic chain of atoms having spin moment $1/2$. The chain is situated in a diamagnetic crystal whose influence on the chain is represented in the form of the potential $\varphi^2$. The spins are coupled by a short-range exchange interaction whose magnitude is a function of the distance between the spins. The single-ion coupling of the spins with the displacements of the atoms of the chain is also taken into account.

[1] Sadreev A. F., Phys. Lett., 84A (1981), 103 | DOI | MR

[2] Sadreev A. F., TMF, 50 (1982), 286–300

[3] Jacobsen E. H., Stevens K. W. H., Phys. Rev., 129 (1963), 2036 | DOI

[4] Mattis D., Teoriya magnetizma, gl. 8, Mir, M., 1967; Mattis D. C., Schultz, Phys. Rev., 120 (1963), 175 | DOI | MR

[5] Zagrebnov V. A., Fedyanin V. K., TMF, 10 (1972), 127

[6] Lee B. S., Progr. Theor. Phys., 50 (1973), 2093 | DOI

[7] Barma M., Phys. Rev., B12 (1975), 2710 | DOI

[8] Oguchi A., J. Phys. Soc. Japan, 49 (1980), 1692 | DOI | MR | Zbl

[9] Kats M., “Matematicheskie mekhanizmy fazovykh perekhodov”, Ustoichivost i fazovye perekhody, Mir, M., 1973 | MR