Interplay between superconductivity and non-Fermi liquid at a quantum critical point in a metal. II. The $gamma$-model at a finite $T$ for $0<gamma <1$

In this paper we continue the analysis of the interplay between non-Fermi liquid and superconductivity for quantum-critical systems, the low-energy physics of which is described by an effective model with dynamical electron-electron interaction $V(Omega_m) propto 1/|Omega_m|^gamma$ (the $gamma$ model). In paper I [A. Abanov and A. V. Chubukov, Phys Rev B. 102, 024524 (2020)] two of us analyzed the $gamma$ model at $T=0$ for $0 N_{cr}$ and remains finite for $N < N_{cr}$. This is consistent with the $T =0$ analysis.

Interplay between superconductivity and non-Fermi liquid at a quantum critical point in a metal. II. The $gamma$-model at a finite $T$ for $0Institutional Repository Document