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

Understand

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.