Elastic precession of electronic spin states in interacting integer quantum Hall edge channels

TL;DR

This paper investigates how Coulomb interactions influence the precession of electronic spin states in chiral edge channels of the integer quantum Hall effect, using a Tomonaga-Luttinger liquid model and perturbative calculations.

Contribution

It introduces a detailed analysis of spin precession in interacting quantum Hall edge channels considering arbitrary spin states and different channel velocities.

Findings

Interaction parameters significantly affect spin precession.

Velocity differences between channels influence the precession dynamics.

Perturbative approach successfully captures the effects of Coulomb interactions.

Abstract

We consider the effect of Coulomb interactions in the propagation of electrons, prepared in arbitrary spin states, on chiral edge channels in the integer quantum Hall regime. Electrons are injected and detected at the same energy at different locations of the Hall bar, which is modeled as a chiral Tomonaga-Luttinger liquid. The current is computed perturbatively in the tunneling amplitudes, within a non-crossing approximation using exact solutions of the interacting Green's functions. In the case of different channel velocities, the spin precession effect is evaluated, and the role of interaction parameters and wavevectors is discussed.