Geodesic
Spin-phonon interaction in the ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 127-142

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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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     author = {V. A. Zagrebnov and V. K. Fedyanin},
     title = {Spin-phonon interaction in the ising model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {127--142},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_10_1_a11/}
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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/