Peierls instability for the Holstein model

G. Benfatto; G. Gentile; V. Mastropietro

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arXiv · cond-mat/9803036

Peierls instability for the Holstein model

G. Benfatto·G. Gentile·V. Mastropietro

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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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G. Benfatto, G. Gentile, V. Mastropietro. 1998-03-03. Peierls instability for the Holstein model. https://arxiv.org/abs/cond-mat/9803036

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