Effects of a single impurity in a Luttinger liquid with spin–orbit coupling

Abstract

Abstract In quasi-1D conducting nanowires spin–orbit coupling destructs spin–charge separation, intrinsic to Tomonaga–Luttinger liquid (TLL). We study renormalization of a single scattering impurity in a such liquid. Performing bosonization of low-energy excitations and exploiting perturbative renormalization analysis we extend the phase portrait in K σ − K ρ space, obtained previously for TLL with decoupled spin–charge channels.