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.

arXiv comment21 pages, 19 figures

References in corpus (46)

• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Progress and perspectives on the electron-doped cuprates
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• A Numerical Renormalization Group Study of the Superconducting and Spin Density Wave Instabilities in MFeAsO${}_{1-x}$F${}_x$ Compounds
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Scattering and Pairing in Cuprate Superconductors
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Contrasting Spin Dynamics Between Underdoped and Overdoped Ba(Fe[1-x]Co[x])2As2
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Unconventional superconductivity and antiferromagnetic quantum critical behavior in the isovalent-doped BaFe2(As1-xPx)2
• Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Anisotropic Scattering and Anomalous Transport in a High Temperature Superconductor
• One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
• Weakly coupled one-dimensional Mott insulators
• Deconfinement transition and Luttinger to Fermi Liquid crossover in quasi one-dimensional systems
• Weakly correlated electrons on a square lattice: a renormalization group theory
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Quasiparticle anisotropy and pseudogap formation from the weak-coupling renormalization group point of view
• Optical and DC conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point, including vertex corrections
• Coexistence of Superconductivity and Spin Density Wave orderings in the organic superconductor (TMTSF)_2PF_6
• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Antiferromagnetic fluctuations and d-wave superconductivity in electron-doped high-temperature superconductors
• Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling
• Electron-doping versus hole-doping in the 2D t-t' Hubbard model
• Flow of the quasiparticle weight in the N-patch renormalization group scheme
• Interplay between spin-density-wave and superconducting states in quasi-one-dimensional conductors
• 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
• Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions
• Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors
• Field-theoretical renormalization group for a flat two-dimensional Fermi surface
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Breakdown of Landau Theory in Overdoped Cuprates near the Onset of Superconductivity
• Crossover to Fermi-liquid behavior for weakly-coupled Luttinger liquids in the anisotropic large-dimension limit
• Spin susceptibility of interacting electrons in one dimension: Luttinger liquid and lattice effects
• Linear-T scattering and pairing from antiferromagnetic fluctuations in the (TMTSF)_2X organic superconductors
• Breakdown of the Fermi-liquid regime in the 2D Hubbard model from a two-loop field-theoretical renormalization group approach
• Effect of Thermal Fluctuation on Spectral Function for the Tomonaga-Luttinger Model
• Role of Interchain Hopping in the Magnetic Susceptibility of Quasi-One-Dimensional Electron Systems
• The metallic transport of (TMTSF)_2X organic conductors close to the superconducting phase
• Superconductivity and antiferromagnetism as interfering orders in organic conductors
• Interchain-Frustration-Induced Metallic State in Quasi-One-Dimensional Mott Insulators
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example

Cited by in corpus (21)

• Universal scaling of the critical temperature and the strange-metal scattering rate in unconventional superconductors
• Superconductivity at the onset of spin-density-wave order in a metal
• Quantum critical point for stripe order: An organizing principle of cuprate superconductivity
• 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
• Nonperturbative renormalization-group approach to fermion systems in the two-particle-irreducible effective action formalism
• Understanding repulsively mediated superconductivity of correlated electrons via massively parallel DMRG
• FFLO strange metal and quantum criticality in two dimensions: theory and application to organic superconductors
• The breakdown of both strange metal and superconducting states at a pressure-induced quantum critical point in iron-pnictide superconductors
• Crossover from impurity-controlled to granular superconductivity in (TMTSF)2ClO4
• Low temperature structural effects in the (TMTSF)${}_2$PF${}_6$ and AsF${}_6$ Bechgaard salts
• Quasi one-dimensional organic conductors: from Fröhlich conductivity and Peierls insulating state to magnetically-mediated superconductivity, a retrospective
• The Seebeck coefficient in correlated low dimensional organic metals
• On the Origin of the Anomalous Upper Critical Field in Quasi-One-Dimensional Superconductors
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Electrical transport near quantum criticality in low dimensional organic superconductors
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• A resistor model for quantum criticality: quasi one-dimensional organic conductors
• Superconducting and density-wave instabilities of low dimensional conductors with a Zeeman coupling to a magnetic field
• Influence of carrier lifetime on quantum criticality and superconducting Tc of (TMTSF)_2ClO_4
• Superconducting and spin-density wave phases probed by scanning tunneling spectroscopy in the organic conductor $(\mathrm{TMTSF}{)}_2\mathrm{Cl}{\mathrm{O}}_4$