Volume 75, Number 1, July 2006
|Page(s)||146 - 152|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||09 June 2006|
Renormalization group study of the electron-phonon interaction in high-Tc cuprates
Department of Physics, University of California at Berkeley Berkeley, CA 94720, USA
2 Institute for Theoretical Physics, Universität Würzburg D-97074 Würzburg, Germany
3 Max-Planck-Institute for Solid State Research - D-70569 Stuttgart, Germany
4 Material Science Division, Lawrence Berkeley National Laboratory Berkeley, CA 94720, USA
5 Center for Advanced Study, Tsinghua University - Beijing 100084, PRC
Accepted: 17 May 2006
We generalize the numerical renormalization group (RG) scheme of Honerkamp et al. (Phys. Rev. B, 63 (2001) 035109), Zanchi et al. (Europhys. Lett., 44 (1997) 235; Phys. Rev. B, 61 (2000) 13609) and Halboth et al. (Phys. Rev. Lett., 85 (2000) 5162) 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 x2-y2 symmetry. All three sets of retarded interaction are driven to strong coupling by the magnetic fluctuations around . 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.
PACS: 74.20.Rp – Pairing symmetries (other than s-wave) / 74.25.Kc – Phonons / 74.72.-h – Cuprate superconductors (high-Tc and insulating parent compounds)
© EDP Sciences, 2006
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