Hidden Fermi liquid; the moral: a good effective low-energy theory is worth all of MonteCarlo with Las Vegas thrown in

Abstract

We present a formalism for dealing directly with the effects of the Gutzwiller projection implicit in thet–J model which is widely believed to underlie the phenomenology of the high-Tc cuprates. We suggest that a true Bardeen–Cooper–Schrieffer condensationfrom a Fermi liquid state takes place, but in the unphysical space prior toprojection. At low doping, however, instead of a hidden Fermi liquid one getsa ‘hidden’ non-superconducting resonating valence bond state which developshole pockets upon doping. The theory which results upon projection does notfollow conventional rules of diagram theory and in fact in the normal state is aZ = 0 non-Fermi liquid. Anomalous properties of the ‘strange metal’ normal state are predictedand compared against experimental findings.