Spin-phonon interaction in the ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 127-142 Cet article a éte moissonné depuis la source Math-Net.Ru

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The general approach to magnetoelasttc interactions proposed and developed in [1], [2] is applied specifically to the Ising model. The lattice vibrations considered in the pseudoharmonic approximation [3] renormaltze the exchange integral through the second correlation function of the spin subsystem; this makes it posslble to take into account in a simple manner their influence in both the general approach to the Ising model [4] as well as in its various approximations [5].
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V. A. Zagrebnov; V. K. Fedyanin. Spin-phonon interaction in the ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 127-142. http://geodesic.mathdoc.fr/item/TMF_1972_10_1_a11/

[1] S. V. Tyablikov, G. Konvent, Preprint P4-3794, OIYaI, 1968

[2] G. Konvent, N. M. Plakida, TMF, 3 (1970), 135 ; 8 (1971), 119

[3] N. M. Plakida, FTT, 11 (1969), 700; Н. М. Плакида, Т. Шиклош, Phys. Stat. Sol., 33 (1969), 103 ; Acta Phys. Hung., 25 (1968), 17 | DOI | DOI

[4] S. V. Tyablikov, V. K. Fedyanin, FMM, 23 (1967), 193

[5] V. K. Fedyanin, FMM, 26 (1968), 968

[6] O. Rice, J. Chem. Phys., 22 (1954), 1535 | DOI

[7] C. P. Bean, D. S. Rodbell, Phys. Rev., 126 (1962), 104 | DOI

[8] N. P. Grazhdankina, UFN, 96 (1968), 291 | DOI

[9] D. C. Mattis, T. D. Schultz, Phys. Rev., 129 (1963), 175 ; Д. Маттис, Теория магнетизма, гл. 8, «Мир», 1967 | DOI | MR | Zbl

[10] H. C. Bolton, B. S. Lee, J. Phys. C: Solid St. Phys., 3 (1970), 1433 | DOI

[11] V. G. Vaks, A. I. Larkin, ZhETF, 49 (1965), 975

[12] V. L. Pokrovskii, FTT, 10 (1968), 3594

[13] H. Wagner, J. Swift, Z. Phys., 239 (1970), 182 | DOI

[14] M. Born, Khuan Kun, Dinamicheskaya teoriya kristallicheskikh reshetok, § 15, IL, 1958

[15] N. M. Plakida, Phys. Lett., 32A (1970), 134 | DOI

[16] R. Bocara, Preprint, 1970

[17] G. Leibfrid, V. Lyudvig, Teoriya angarmonicheskikh effektov v kristallakh, IL, 1963

[18] E. T. Uitteker, Dzh. N. Vatson, Kurs sovremennogo analiza, t. 1, 7. 32, Fizmatgiz, 1968; Н. Г. де Брейн, Асимптотические методы в анализе, гл. 2, ИЛ, 1961

[19] M. Fisher, Priroda kriticheskogo sostoyaniya, Prilozhenie, «Mir», 1968

[20] V. K. Fedyanin, FMM, 29 (1969), 217; Phys. Lett., 29A (1969), 40 ; ТМФ, 7 (1971), 241 ; Phys. Lett., 34A (1971), 323

[21] V. K. Fedyanin, Metod korrelyatsionnykh funktsii v modeli Izinga, Izd-vo Tartusskogo gos. un-ta, 1971

[22] T. Khill, Statisticheskaya mekhanika, IL, 1960