Many-polaron states in the Holstein-Hubbard model

Details Many-polaron states in the Holstein-Hubbard model Many-polaron states in the Holstein-Hubbard model

2001-09-19

arxiv.org/abs/cond-mat/0109342v1

Physics

Condensed Matter

Strongly Correlated Electrons

submitted to Journal of Statistical Physics

Scientific paper

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.

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