Bosonization of coupled electron-phonon systems

Details Bosonization of coupled electron-phonon systems Bosonization of coupled electron-phonon systems

1995-08-07

arxiv.org/abs/cond-mat/9508021v2

Z. Phys. B 100, 561 (1996)

Physics

Condensed Matter

I have added a few lines to show how the Bohm-Staver relation can be derived within my approach. To appear in Z. Phys. B

Scientific paper

10.1007/s002570050162

We calculate the single-particle Green's function of electrons that are coupled to acoustic phonons by means of higher dimensional bosonization. This non-perturbative method is {\it{not}} based on the assumption that the electronic system is a Fermi liquid. For isotropic three-dimensional phonons we find that the long-range part of the Coulomb interaction cannot destabilize the Fermi liquid state, although for strong electron-phonon coupling the quasi-particle residue is small. We also show that Luttinger liquid behavior in three dimensions can be due to quasi-one-dimensional anisotropy in the electronic band structure {\it{or in the phonon frequencies}}.

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