Extended quantum criticality of low-dimensional superconductors near a spin-density-wave instability

Abstract

We use the renormalization group method to study the normal state of quasi-one-dimensional superconductors nearby a spin-density-wave instability. On the basis of one-loop scattering amplitudes for the quasi-one-dimensional electron gas, the integration of the renormalization group equations for the two-loop single particle Matsubara self-energy leads to a nonFermi-liquid temperature downturn of the momentum-resolved quasi-particle weight over most part of the Fermi surface. The amplitude of the downturn correlates with the entire instability line for superconductivity, defining an extended quantum critical region of the phase diagram as a function of nesting deviations of the Fermi surface. One also extracts the downward renormalization of interchain hopping amplitudes at arbitrary low temperature in the normal phase. By means of analytical continuation of the Matsubara self-energy, one-particle spectral functions are obtained with respect to both energy and temperature and their anomalous features analyzed in connection with the sequence of instability lines of the phase diagram. The quasi-particle scattering rate is found to develop an unusual temperature dependence, which is best described by the superimposition of a linear and quadratic $T$ dependences. The nonFermi-liquid linear-$T$ component correlates with the temperature scale $T_c$ of the superconducting instability over an extended range of nesting deviations, whereas its anisotropy along the Fermi surface is predicted to parallel the momentum profile of a d-wave pairing gap on the Fermi surface. We examine the implications of our results for low dimensional unconventional superconductors, in particular the Bechgaard salts series of quasi-1D organic conductors, but also the pnictide and cuprate superconductors where several common features are observed.

21 pages, 19 figures

References in corpus (15)

• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling
• Breakup of the Fermi surface near the Mott transition in low-dimensional systems
• Link between antiferromagnetism and superconductivity probed by nuclear spin relaxation in organic conductors
• Breakdown of Landau Theory in Overdoped Cuprates near the Onset of Superconductivity
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Breakdown of the Fermi-liquid regime in the 2D Hubbard model from a two-loop field-theoretical renormalization group approach
• Role of Interchain Hopping in the Magnetic Susceptibility of Quasi-One-Dimensional Electron Systems
• Superconductivity and antiferromagnetism as interfering orders in organic conductors
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling

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• Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals
• Breakdown of Fermi liquid behavior at the (π,π)=2k_F spin-density wave quantum-critical point: the case of electron-doped cuprates
• The Seebeck coefficient in correlated low dimensional organic metals
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• A resistor model for quantum criticality: quasi one-dimensional organic conductors