Luttinger liquid with strong spin-orbital coupling and Zeeman splitting in quantum wires

TL;DR

This paper develops a bosonization theory for a one-dimensional electron gas with strong spin-orbit coupling and Zeeman splitting, revealing unique tunneling behaviors that can be experimentally measured.

Contribution

It introduces a new theoretical framework for understanding Luttinger liquids with strong spin-orbit interactions and Zeeman effects in quantum wires.

Findings

Tunneling current deviates from simple power law behavior.

External magnetic field can measure microscopic interactions.

Theoretical predictions can guide experimental measurements.

Abstract

We study a one-dimensional interacting electron gas with the strong Rashba spin-orbit coupling and Zeeman splitting in a quantum well. A bosonization theory is developed for this system. The tunneling current may deviate from a simple power law which is that in an ordinary Luttinger liquid. The microscopic interacting coupling and the spin-orbital parameter may be measured by varying the external magnetic field in the tunneling experiment.