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Wentzel-Bardeen singularity and phase diagram for interacting electrons coupled to acoustic phonons in one dimension

Daniel Loss·Thierry Martin
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Abstract

Using a Luttinger liquid description, the correlation function exponents of various response functions are calculated. Their striking sensitivity to the non perturbative Wentzel-Bardeen singularity is discussed. For the Hubbard model coupled to phonons, the equivalent of a phase diagram is established. By increasing the filling factor towards half filling, the Wentzel-Bardeen singularity is rapidly approached. This suppresses antiferromagnetic fluctuations and drives the system in a metallic phase, and ultimately in the triplet superconducting regime.

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Daniel Loss, Thierry Martin. 1994-08-26. Wentzel-Bardeen singularity and phase diagram for interacting electrons coupled to acoustic phonons in one dimension. https://doi.org/10.1103/physrevb.50.12160

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