The second-neighbour Ising chain as a model for spin-phonon interactions: susceptibility

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Abstract
The connection between Ising systems with spin-phonon interactions and Ising systems with second-neighbour interactions is developed, treating the phonon spectrum by the Einstein approximation. The effective spin Hamiltonian has competing interactions of the type that Stephenson has shown lead to a 'disorder point', a temperature at which the character of the spin-spin correlation function changes. The one-dimensional case is taken as an example and Stephenson's susceptibility expression derived by a new method. The relevance of disorder-point phenomena and the associated anomalous susceptibility to spin-phonon systems is discussed.

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