English

Phase Diagram for a Luttinger Liquid coupled to Phonons in one dimension

Condensed Matter 2015-06-25 v1

Abstract

The Green function and the ordering correlation functions of a system of electrons coupled to acoustic phonons are calculated explicitly. The sensitivity of the correlation function exponents to the Wentzel-Bardeen singularity is discussed. A phase diagram is established for the Hubbard model coupled to phonons, using the integral equations of Lieb and Wu. By increasing the filling factor towards half filling, the Wentzel-Bardeen singularity can be reached for arbitrary phonon coupling. This suppresses antiferromagnetic fluctuations and drives the system in a metallic phase, and ultimately in the triplet superconducting regime.

Keywords

Cite

@article{arxiv.cond-mat/9408087,
  title  = {Phase Diagram for a Luttinger Liquid coupled to Phonons in one dimension},
  author = {Thierry Martin and Daniel Loss},
  journal= {arXiv preprint arXiv:cond-mat/9408087},
  year   = {2015}
}

Comments

33 pages, REVTex, 6 figures upon request ([email protected])