Electronic Spectral functions, ρ(T) and Raman response in the 2-d t-J model

We study the two-dimensional t-J model with a second neighbor hopping parameter t', in a broad range of doping δ using a closed set of equations from the Extremely Correlated Fermi Liquid (ECFL) theory. The electronic spectral function is found to yield asymmetric energy distribution curves and symmetric momentum distribution curves. These are broadly consistent with experimental data. Using our spectral functions, we calculate the resistivity, whose curvature changes with varying δ is presented, and connect this change to the intensity loss in Angle-Resolved Photoemission Spectroscopy (ARPES) experiments. We also present results for a set of closely related dynamical response functions: the non-resonant Raman susceptibility for three principal geometries germane to the square lattice, and the optical conductivity. Where available, these results are in close correspondence to available high-resolution experimental results. Our results provide a set of testable predictions for future experiments.