Title: High Tc superconductivity and non-Fermi liquid behavior near a nematic quantum critical point: a Monte Carlo study
Abstract: The Ising nematic quantum critical point (QCP) associated with the breaking of fourfold rotational symmetry in a zero temperature metal is an exemplar of metallic quantum criticality. We have carried out a minus sign-free quantum Monte Carlo study of this QCP for a two dimensional lattice model with sizes up to 24 × 24 sites. For sufficiently strong coupling between the fermions and the nematic bosons, high temperature superconductivity emerges near the QCP. This superconductivity condenses out of a metallic normal state with a large, temperature independent single-fermion scattering rate, and with transport properties inconsistent with Fermi liquid theory. Time permitting, I will discuss implications of these results for cuprate strange metal phenomenology, and for the field theory of quantum critical metals.