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

preprint2022arXivOpen access

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 KsK_s - KcK_c space, obtained previously for TLL with decoupled spin-charge channels.

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