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 Ã— 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.