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

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 $K_s$ - $K_c$ space, obtained previously for TLL with decoupled spin-charge channels.

References in corpus (12)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Competing effects of interactions and spin-orbit coupling in a quantum wire
• Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling
• Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field
• Numerical study of transport through a single impurity in a spinful Tomonaga-Luttinger liquid
• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid