Fractionalized Fermi liquids with the ghost-Gutzwiller Ansatz

Abstract

Fractionalized Fermi liquids (${\mathrm{FL}}^{\ast }$), elusive metallic states characterized by fractionalized quasiparticles alongside conventional ones and defying Luttinger's theorem, are prime candidates for the pseudogap regime of underdoped cuprates. We show that a ${\mathrm{FL}}^{\ast }$ phase emerges in the single-band $t$-$J$ model through a simple ghost-Gutzwiller Ansatz, optimized at the cost of a mean-field calculation. The resulting temperature-doping phase diagram encompasses a low-doping ${\mathrm{FL}}^{\ast }$, a $d$-wave superconducting dome, and an overdoped conventional Fermi liquid, thereby reproducing key qualitative features of cuprate phenomenology.

5 pages of main text with 2 figures, and 7 pages of supplemental material