Spin resonance in Luttinger liquid with spin-orbit interaction

TL;DR

This paper investigates how electron-electron interactions influence spin resonance phenomena in quantum wires with spin-orbit coupling, revealing modifications to resonance shape and additional features at plasmon frequencies.

Contribution

It provides a detailed analysis of the impact of electron-electron interactions on spin resonance in Luttinger liquids with spin-orbit interaction, highlighting subtle effects and conditions for their significance.

Findings

Electron-electron interaction alters the resonance curve shape.

An additional cusp appears at the plasmon frequency due to interactions.

Effects are weak unless electron-electron interaction is very strong.

Abstract

Spin-orbit interaction in quantum wires leads to a spin resonance at low temperatures, even in the absence of an external dc magnetic field. We study the effect of electron-electron interaction on the resonance. This interaction is strong in quantum wires. We show that the electron-electron interaction changes the shape of the resonance curve and produces an additional cusp at the plasmon frequency. However, except for very strong electron-electron interaction these changes are weak since this interaction by itself does not break the spin-rotation symmetry that is violated weakly by the spin-orbit interaction and external magnetic field.