Extremely correlated Fermi liquid theory for the U=∞, d=∞ Hubbard model to O(λ3)

Abstract

We present the $O({\ensuremath{\lambda}}^{3})$ results from the $\ensuremath{\lambda}$ expansion in the extremely correlated Fermi-liquid theory applied to the infinite-dimensional $t\ensuremath{-}J$ model (with $J=0$) and compare the results with the earlier $O({\ensuremath{\lambda}}^{2})$ results as well as the results from the dynamical mean-field theory. We focus attention on the $T$ dependence of the resistivity $\ensuremath{\rho}(T)$, the Dyson self-energy, and the quasiparticle weight $Z$ at various densities. The comparison shows that all the methods display quadratic-in-$T$ resistivity followed by a quasilinear-in-$T$ resistivity characterizing a strange metal and gives an estimate of the different scales of these variables relative to the exact results.