English

Strong-coupling expansions for the anharmonic Holstein model and for the Holstein-Hubbard model

Condensed Matter 2009-10-28 v1

Abstract

A strong-coupling expansion is applied to the anharmonic Holstein model and to the Holstein-Hubbard model through fourth order in the hopping matrix element. Mean-field theory is then employed to determine transition temperatures of the effective (pseudospin) Hamiltonian. We find that anharmonic effects are not easily mimicked by an on-site Coulomb repulsion, and that anharmonicity strongly favors superconductivity relative to charge-density-wave order. Surprisingly, the phase diagram is strongly modified by relatively small values of the anharmonicity.

Keywords

Cite

@article{arxiv.cond-mat/9604006,
  title  = {Strong-coupling expansions for the anharmonic Holstein model and for the Holstein-Hubbard model},
  author = {J. K. Freericks and G. D. Mahan},
  journal= {arXiv preprint arXiv:cond-mat/9604006},
  year   = {2009}
}

Comments

34 pages, typeset in ReVTeX, 11 encapsulated postscript files included