Using determinantal quantum Monte Carlo, we compute the properties of a lattice model with spin 21 itinerant electrons tuned through a quantum phase transition to an Ising nematic phase. The nematic fluctuations induce superconductivity with a broad dome in the superconducting Tc enclosing the nematic quantum critical point. For temperatures above Tc, we see strikingly non-Fermi liquid behavior, including a "nodal - anti nodal dichotomy" reminiscent of that seen in several transition metal oxides. In addition, the critical fluctuations have a strong effect on the low frequency optical conductivity, resulting in behavior consistent with "bad metal" phenomenology.
@article{arxiv.1612.01542,
title = {Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point},
author = {Samuel Lederer and Yoni Schattner and Erez Berg and Steven A. Kivelson},
journal= {arXiv preprint arXiv:1612.01542},
year = {2017}
}