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 (35)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Luttinger Liquid Behavior in Carbon Nanotubes
• Bosonization and Strongly Correlated Systems
• One-Dimensional Fermi liquids
• Spin-orbit qubit in a semiconductor nanowire
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• 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
• Spin Accumulation in Quantum Wires with Strong Rashba Spin-Orbit Coupling
• Observation of a One-Dimensional Spin-Orbit Gap in a Quantum Wire
• Majorana Fermions in Strongly Interacting Helical Liquids
• Separation of neutral and charge modes in one dimensional chiral edge channels
• Fractionalized Wave Packets from an Artificial Tomonaga-Luttinger Liquid
• Waveform measurement of charge- and spin-density wave packets in a Tomonaga-Luttinger liquid
• Signatures of interaction-induced helical gaps in nanowire quantum point contacts
• Spin-orbit coupling in interacting quasi-one-dimensional electron systems
• Competing effects of interactions and spin-orbit coupling in a quantum wire
• Rashba spin splitting in quantum wires
• Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling
• Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
• Emergent topological properties in interacting one-dimensional systems with spin-orbit coupling
• Generation of spin-polarized currents in Zeeman-split Tomonaga-Luttinger models
• Correlation functions for 1d interacting fermions with spin-orbit coupling
• Strong Electron-Electron Interactions of a Tomonaga--Luttinger Liquid Observed in InAs Quantum Wires
• 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
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Local density of states of the one-dimensional spinless fermion model
• Transmission through a potential barrier in Luttinger liquids with a topological spin gap
• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid