Superconductivity near a nematic quantum critical point: Interplay between hot and lukewarm regions
Avraham Klein, Andrey Chubukov
DOI 10.1103/PhysRevB.98.220501 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We present a strong-coupling dynamical theory of the superconducting transition in a metal near a quantum-critical point toward Q=0 nematic order. We use a fermion-boson model, in which we treat the ratio of effective boson-fermion coupling and the Fermi energy as a small parameter λ. We solve, both analytically and numerically, the linearized Eliashberg equation. Our solution takes into account both strong fluctuations at small momentum transfers ∼λkF and weaker fluctuations at large momentum transfers. The strong fluctuations determine Tc, which is of order λ2EF for both s- and d-wave pairing. The weaker fluctuations determine the angular structure of the superconducting order parameter F(θk) along the Fermi surface, separating between hot and lukewarm regions. In the hot regions F(θk) is largest and approximately constant. Beyond the hot region, whose width is θh∼λ1/3, F(θk) drops by a factor λ4/3. The s- and d-wave states are not degenerate but the relative difference (Tcs−Tcd)/Tcs∼λ2 is small.
Similar papers
Superconductivity near a ferroelectric quantum critical point in ultralow-density Dirac materials
similarity 0.91Vladyslav Kozii et al. · 2019 · arXiv:1901.11064
Source status unknown — claims are unverified
Upper bound on Tc in a strongly coupled electron-boson superconductor
similarity 0.90Nikolay V. Gnezdilov & Rufus Boyack
Source status unknown — claims are unverified
Superconductivity vs quantum criticality: effects of thermal fluctuations
similarity 0.90Huajia Wang et al. · 2017 · arXiv:1708.04624
Source status unknown — claims are unverified
Pseudogap and spectral function from superconducting fluctuations to the bosonic limit
similarity 0.90A. Perali et al.
Source status unknown — claims are unverified
Special role of the first Matsubara frequency for superconductivity near a quantum critical point: Nonlinear gap equation below Tc and spectral properties in real frequencies
similarity 0.90Yi-Ming Wu et al.
Source status unknown — claims are unverified
Superconducting transition temperatures for spin-fluctuation superconductivity: Application to heavy-fermion compounds
similarity 0.90Shinya Nishiyama et al.
Source status unknown — claims are unverified