98-110 G. Benfatto, G. Gentile, V. Mastropietro

Peierls instability for the Holstein model. (95K, Plain TeX) Mar 2, 98

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Abstract. We consider the static Holstein model, describing a chain of Fermions interacting with a classical phonon field, when the interaction is weak and the density is a rational number. We show that the energy of the system, as a function of the phonon field, has two stationary points, defined up to a lattice translation, which are local minima in the space of fields periodic with period equal to the inverse of the density.

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