Superconductivity and bad metal behavior near a nematic quantum critical point

Using determinantal quantum Monte Carlo for systems of size up to $24\times 24$, we compute the properties of a lattice model with spin $\frac 1 2$ itinerant electrons tuned through a quantum phase transition to an Ising nematic phase. We find that the nematic fluctuations induce superconductivity with a broad dome in the superconducting $T_c$ enclosing the nematic quantum critical point. For temperatures above $T_c$, we see strikingly non-Fermi liquid behavior of the electron spectral properties -- including a ``nodal - anti nodal dichotomy'' reminiscent of that seen in high $T_c$ cuprates - and ``bad metal'' behavior of the conductivity.