English

Many-polaron states in the Holstein-Hubbard model

Strongly Correlated Electrons 2007-05-23 v1 Superconductivity

Abstract

A variational approach is proposed to determine some properties of the adiabatic Holstein-Hubbard model which describes the interactions between a static atomic lattice and an assembly of fermionic charge carriers. The sum of the electronic energy and the lattice elastic energy is proved to have minima with a polaron structure in a certain domain of the phase diagram. Our analytical work consists in the expansion of these energy minima from the zero electronic transfer limit which remarkably holds for a finite amplitude of the onsite Hubbard repulsion and for an unbounded lattice size.

Keywords

Cite

@article{arxiv.cond-mat/0109342,
  title  = {Many-polaron states in the Holstein-Hubbard model},
  author = {Laurent Proville and S. Aubry},
  journal= {arXiv preprint arXiv:cond-mat/0109342},
  year   = {2007}
}

Comments

submitted to Journal of Statistical Physics