Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice

Abstract

We study the effects of Fermi-surface fluctuations on the single-particle lifetime near the diagonal electronic nematic phase on a two-dimensional square lattice. It has been shown that there exists a quantum critical point between the diagonal nematic and isotropic phases. We study the longitudinal fluctuations of the order parameter near the critical point, where the singular forward scattering leads to a non-Fermi-liquid behavior over the whole Fermi surface except along the kx and ky directions. We will also discuss the temperature and chemical potential dependences of the single-particle decay rate. © 2007 The American Physical Society.