2005/09/09 by Henry Fu, Henry C. Fu, Carsten Honerkamp +2 · 23 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Cuprate #Electron #Group (periodic table) #Phonon #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Rare-earth and actinide compounds #Renormalization #Renormalization group #Superconductivity #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1209/epl/i2006-10082-0
published in Europhysics Letters (EPL) 75(1), 146-152 (Institute of Physics) · 4 pages, 3 figures, references added, added more details about others' previous studies
arxiv created 2005/09/09 · openalex publication_date 2006/06/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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- T c 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 (π/ a ,π/ a ). 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.