Quantum-critical pairing in electron-doped cuprates

Abstract

We revisit the problem of spin-mediated superconducting pairing at the antiferromagnetic quantum-critical point with the ordering momentum (π,π) = 2k_F. The problem has been previously considered by one of the authors. However, it was later pointed out that that analysis neglected umklapp processes for the spin polarization operator. We incorporate umklapp terms and re-evaluate the normal state self-energy and the critical temperature of the pairing instability. We show that the self-energy has a Fermi-liquid form and obtain the renormalization of the quasiparticle residue Z, the Fermi velocity, and the curvature of the Fermi surface. We argue that the pairing is a BCS-type problem, but go one step beyond the BCS theory and calculate the critical temperature T_c with the prefactor. We apply the results to electron-doped cuprates near optimal doping and obtain T_c \geq 10 K, which matches the experimental results quite well.

20 pages, 9 figures. Replaced with the published version

References in corpus (23)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Quantum criticality
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Pseudogap state from quantum criticality
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Spin correlations in the electron-doped high-transition-temperature superconductor Nd{2-x}Ce{x}CuO{4+/-delta}
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Energetics of superconductivity in the two dimensional Hubbard model
• First-Matsubara-frequency rule in a Fermi liquid. Part I: Fermionic self-energy
• Gap anisotropy and universal pairing scale in a spin fluctuation model for cuprates
• A controlled expansion for certain non-Fermi liquid metals
• Nodeless d-wave superconducting pairing due to residual antiferromagnetism in underdoped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Superconductivity at the onset of spin-density-wave order in a metal
• Nonmonotonic $d_{x^2-y^2}$ superconducting gap in electron-doped Pr${}_{0.89}$LaCe${}_{0.11}$CuO${}_4$: Evidence of coexisting antiferromagnetism and superconductivity?
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• Breakdown of Fermi liquid behavior at the (π,π)=2k_F spin-density wave quantum-critical point: the case of electron-doped cuprates
• Superconducting Transition Temperatures for Spin-Fluctuation Promoted Superconductivity in Heavy Fermion Compounds
• Theory of non-Fermi liquid and pairing in electron-doped cuprates
• Spin-liquid model of the sharp resistivity drop in $L{a}_{1.85}B{a}_{0.125}Cu{O}_4$
• Lindhard and RPA susceptibility computations in extended momentum space in electron doped cuprates

Cited by in corpus (33)

• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• High Pressure and Road to Room Temperature Superconductivity
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Superconductivity vs bound state formation in a two-band superconductor with small Fermi energy -- applications to Fe-pnictides/chalcogenides and doped SrTiO3
• Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Correlation between Fermi surface transformations and superconductivity in the electron-doped high-$T_c$ superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Phonon mediated superconductivity in low carrier-density systems
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Pairing in quantum-critical systems: $T_c$, $\Delta$, and their ratio
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal: V. The $\gamma$ model and its phase diagram. The case $\gamma =2$
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Eliashberg Theory in the Weak Coupling Limit
• Non-Fermi liquid behavior at the onset of incommensurate 2k_F charge or spin density wave order in two dimensions
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. III: The $\gamma$ model and its phase diagram across $\gamma =1$
• Implicit renormalization approach to the problem of Cooper instability
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with one pair of hot spots in two-dimensional metals
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Kohn-Luttinger Correction to Tc in a Phonon Superconductor
• Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals
• Eliashberg theory in the weak-coupling limit: results on the real frequency axis
• Thermodynamics of Eliashberg theory in the weak-coupling limit
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with two pairs of hot spots in two-dimensional metals
• Non Fermi liquid behavior at flat hot spots from quantum critical fluctuations at the onset of charge- or spin-density wave order
• Interaction-enhanced nesting in Spin-Fermion and Fermi-Hubbard models
• Marginal Fermi liquid behavior at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order in two-dimensional metals with flat hot spots
• Critical current density of hole doped high-Tc cuprates and heavy fermion superconductors: relevance to the possible quantum critical behavior
• Casimir effect mechanism of pairing between fermions in the vicinity of a magnetic quantum critical point
• Emergence of Fermi-liquid and BCS physics in overdoped cuprates
• Non-thermal pairing glue of electrons in the steady state