Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. III: The $gamma$ model and its phase diagram across $gamma = 1$

We analyze a class of quantum-critical models, in which momentum integration and the selection of a particular pairing symmetry can be done explicitly, and the competition between non-Fermi liquid and pairing can be analyzed within an effective model with dynamical electron-electron interaction $V(Omega_m)sim 1/|Omega_m|^gamma$ (the $gamma$-model). In this paper, the first in the series, we consider the case $T=0$ and $01$, above which superconductivity disappears, and the ground state becomes a non-Fermi liquid.We show that all solutions develop simultaneously once $N$ gets smaller than $N_{cr}$.

Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. III: The $gamma$ model and its phase diagram across $gamma = 1$ Institutional Repository Document