Peierls instability for the Holstein model
Statistical Mechanics
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/9803036,
title = {Peierls instability for the Holstein model},
author = {G. Benfatto and G. Gentile and V. Mastropietro},
journal= {arXiv preprint arXiv:cond-mat/9803036},
year = {2007}
}
Comments
Plain TeX, no figures, 30 pages