A unique non-Landau/Fermi liquid in 2d for high Tc superconductivity

TL;DR

This paper models high Tc superconductivity using a novel non-Landau/Fermi liquid framework with quartic interactions, successfully reproducing the phase diagram and estimating critical temperatures.

Contribution

It introduces a unique non-Landau/Fermi liquid model with a new d-wave gap equation that explains high Tc superconductivity features.

Findings

Phase diagram depends on a single parameter gamma

Superconducting dome terminates at a fixed point

Estimated Tc range for LaSrCuO is 120-160K

Abstract

It is shown that the main features of the phase diagram for high Tc superconductivity can be calculated as a function of doping in a simple, essentially unique non-Landau/Fermi liquid with quartic interactions. The phase diagram depends on a single parameter 0<gamma<1 determined by the strength of the interaction at short distances. A new d-wave gap equation has solutions that fall under a superconducting dome, which terminates at the renormalization group fixed point. Optimal doping is estimated to occur just below 3/2 \pi^2. The overall scale for Tc is set by the recently measured universal nodal Fermi velocity and lattice spacing, and is estimated to be 120K < Tc < 160K for LaSrCuO.