electrons is one of the most outstanding problems in correlated electron systems, such as cuprates, pnictides, and heavy fermion materials [@louis; @hirsch; @chubukov; @gegenwart]. Theory, spurred largely by NFL behavior in the cuprates, has focused on models with large Fermi surfaces, appropriate to these materials. Though there have been promising technical advances[@max], this approach has not provided clear resolution of experimental puzzles. Recent theory and experiment have uncovered a new frontier for correlated phenomena: Mott correlation physics in materials with strong spin-orbit coupling (SOC) [@pesin; @bjkim1]. Of particular interest in this regard are the 5d transition metal oxides, where compelling evidence has been built for Mott phenomena driven cooperatively by SOC and Coulomb interactions [@pesin; @bjkim1; @takagi]. Here we consider the possibility of distinct NFL states in the strong SOC regime.

We are particularly motivated by the pyrochlore iridates, A$_2$Ir$_2$O$_7$, where A is a lanthanide element [@maeno; @matsuhira]. These materials display $T>0$ metal-insulator transitions, with the metal-insulator transition temperature decreasing with increasing A radius. The progression culminates with Pr$_2$Ir$_2$O$_7$, which is a highly unconventional metal down to the lowest temperatures [@nakatsuji; @machida]. It displays logarithmic NFL behavior of the magnetic susceptibility, and a remarkable enormous zero field anomalous Hall effect 