Renormalization Group Study of the Electron-phonon Interaction in the High Tc Cuprates

Details Renormalization Group Study of the Electron-phonon Interaction in the High Tc Cuprates Renormalization Group Study of the Electron-phonon Interaction in the High Tc Cuprates

2005-09-02

arxiv.org/abs/cond-mat/0509072v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, references added, added more details about others' previous studies

Scientific paper

10.1209/epl/i2006-10082-0

We generalize the numerical renormalization group scheme to study the phonon-mediated retarded interactions in the high Tc cuprates. We find that three sets of phonon-mediated retarded quasiparticle scatterings grow under RG flow. These scatterings share the following common features: 1) the initial and final quasiparticle momenta are in the antinodal regions, and 2) the scattering amplitudes have a $x^2-y^2$ symmetry. All three sets of retarded interaction are driven to strong coupling by the magnetic fluctuations around $(\pi,\pi)$. After growing strong, these retarded interaction will trigger density wave orders with d-wave symmetry. However, due to the d-wave form factor they will leave the nodal quasiparticle unaffected. We conclude that the main effect of electron-phonon coupling in the cuprates is to promote these density wave orders.

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