Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity

Abstract

We use the renormalization group method to examine the effect of phonon mediated interaction on d-wave superconductivity, as driven by spin fluctuations in a quasi-one-dimensional electron system. The influence of a tight-binding electron-phonon interaction on the spin-density-wave and d-wave superconducting instability lines is calculated for arbitrary temperature, phonon frequency and antinesting of the Fermi surface.The domain of electron-phonon coupling strength where spin-density-wave order becomes unstable against the formation of a bond-order-wave or Peierls state is determined at weak antinesting. We show the existence of a positive isotope effect for spin-density-wave and d-wave superconducting critical temperatures which scales with the antinesting distance from quantum critical point where the two instabilities merge. We single out a low phonon frequency zone where the bond-oder-wave ordering gives rise to triplet f-wave superconductivity under nesting alteration, with both orderings displaying a negative isotope effect. We also study the electron-phonon strengthening of spin fluctuations at the origin of extended quantum criticality in the metallic phase above superconductivity. The impact of our results on quasi-one-dimensional organic conductors like the Bechgaard salts where a Peierls distortion is absent and superconductivity emerges near a spin-density-wave state under pressure is emphasized.

arXiv comment13 pages, 8 figures

References in corpus (35)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• An unusual isotope effect in a high-transition-temperature superconductor
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Anomalous isotopic effect near the charge-ordering quantum criticality
• Electron-phonon Interaction close to a Mott transition
• Interplay between electron-phonon and Coulomb interactions in cuprates
• An Isotopic Fingerprint of Electron-Phonon Coupling in High-Tc Cuprates
• d_{x^2-y^2} Symmetry and the Pairing Mechanism
• Spin-triplet `f-wave' pairing proposed for an organic superconductor (TMTSF)_2 PF_6
• Effect of an Electron-phonon Interaction on the One-electron Spectral Weight of a d-wave Superconductor
• Electron-phonon vertex in the two-dimensional one-band Hubbard model
• Competition between antiferromagnetic and charge density wave order in the half filled Hubbard-Holstein model
• Bond and charge density waves in the isotropic interacting two-dimensional quarter-filled band and the insulating state proximate to organic superconductivity
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Interplay between spin-density-wave and superconducting states in quasi-one-dimensional conductors
• Phonons and d-wave pairing in the two-dimensional Hubbard model
• Superconductivity and Density Wave in the Quasi-One-Dimensional Systems: Renormalization Group Study
• Link between antiferromagnetism and superconductivity probed by nuclear spin relaxation in organic conductors
• Retardation effects in the Holstein-Hubbard chain at half-filling
• Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors
• Renormalization Group Approach to Strong-Coupled Superconductors
• Electron-phonon interaction in Strongly Correlated Systems
• Extended quantum criticality of low-dimensional superconductors near a spin-density-wave instability
• The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
• Competing interactions and symmetry breaking in the Hubbard-Holstein model
• Phonon-mediated tuning of instabilities in the Hubbard model at half-filling
• A renormalization group analysis of the one-dimensional extended Hubbard model
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Superconductivity and antiferromagnetism as interfering orders in organic conductors
• Superconductivity close to the charge-density-wave instability
• Renormalization Group Technique Applied to the Pairing Interaction of the Quasi-One-Dimensional Superconductivity
• A resistor model for quantum criticality: quasi one-dimensional organic conductors

Cited by in corpus (3)

• Nature of ground states in one-dimensional electron-phonon Hubbard models at half-filling
• Novel superconducting phenomena in quasi-one-dimensional Bechgaard salts
• Quasi one-dimensional organic conductors: from Fröhlich conductivity and Peierls insulating state to magnetically-mediated superconductivity, a retrospective