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

Thierry Martin·Daniel Loss
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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.

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Thierry Martin, Daniel Loss. 1994-08-26. Phase Diagram for a Luttinger Liquid coupled to Phonons in one dimension. https://doi.org/10.1142/s0217979295000185

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