Fractionalized Fermi liquids in a quantum dimer model

We consider a quantum dimer model with bosonic and fermionic dimers, proposed to describe the pseudogap phase of cuprates. \footnote{Matthias Punk, Andrea Allais, and Subir Sachdev, Proc. Natl. Acad. Sci. USA \textbf{112}, 9552 (2015)} By density matrix renormalization group calculations on a finite cylinder, we obtain the ground state density distribution of the fermionic dimers for a number of different total densities. From the Friedel oscillations at open boundaries, we deduce that the Fermi surface consists of small hole pockets near $(\pi/2, \pi/2)$, and this feature persists up to 1/8 doping. Our results support the existence of a ``fractionalized Fermi liquid'' in this model. We also discuss the form factors of the density modulations.