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

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

1994-08-26

arxiv.org/abs/cond-mat/9408087v1

Physics

Condensed Matter

33 pages, REVTex, 6 figures upon request (thierry@goshawk.lanl.gov)

Scientific paper

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.

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