Theory of non-Fermi liquid and pairing in electron-doped cuprates

Abstract

We apply the spin-fermion model to study the normal state and pairing instability in electron-doped cuprates near the antiferromagnetic QCP. Peculiar frequency dependencies of the normal state properties are shown to emerge from the self-consistent equations on the fermionic and bosonic self-energies, and are in agreement with experimentally observed ones. We argue that the pairing instability is in the $d_{x^2-y^2}$ channel, as in hole-doped cuprates, but theoretical $T_c$ is much lower than in the hole-doped case. For the same hopping integrals and the interaction strength as in hole-doped materials, we obtain $T_c\sim 10$K at the end point of the antiferromagnetic phase. We argue that a strong reduction of $T_c$ in electron-doped cuprates compared to hole-doped ones is due to critical role of the Fermi surface curvature for electron-doped materials. The $d_{x^2-y^2}$-pairing gap $\Delta (\mathbf{k},\omega )$ is strongly non-monotonic along the Fermi surface. The position of the gap maxima, however, does not coincide with the hot spots, as the non-monotonic $d_{x^2-y^2}$ gap persists even at doping when the hot spots merge on the Brillouin zone diagonals.

arXiv comment16 pages

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Cited by in corpus (13)

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• Superconductivity and topological Fermi surface transitions in electron-doped cuprates near optimal doping
• Signatures of non-monotonic d-wave gap in electron-doped cuprates
• BCS Superconductivity in Quantum Critical Metals
• Spin-resolved impurity resonance states in electron-doped cuprate superconductors
• Self-consistent Eliashberg theory, Tc, and the gap function in electron-doped cuprates
• A family of anisotropic integral operators and behaviour of its maximal eigenvalue
• Coexistence of the antiferromagnetic and superconducting order and its effect on spin dynamics in electron-doped high-$T_c$ cuprates
• On the Positive-Definiteness of an Anisotropic Operator
• An anisotropic integral operator in high temperature superconductivity