Spin-phonon interaction in the ising model

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].