Self-consistent theory of phonon renormalization and electron-phonon coupling near a 2D Kohn singularity

Details Self-consistent theory of phonon renormalization and electron-phonon coupling near a 2D Kohn singularity Self-consistent theory of phonon renormalization and electron-phonon coupling near a 2D Kohn singularity

2007-10-02

arxiv.org/abs/0710.0661v1

Physics

Condensed Matter

Superconductivity

8 pages, 2 figures

Scientific paper

10.1103/PhysRevB.77.014517

We show that the usual expression for evaluating electron-phonon coupling and the phonon linewidth in 2D metals with a cylindrical Fermi surface cannot be applied near the wave vector corresponding to the Kohn singularity. Instead, the Dyson equation for phonons has to be solved self-consistently. If a self-consistent procedure is properly followed, there is no divergency in either the coupling constant or the phonon linewidth near the offending wave vectors, in contrast to the standard expression.

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