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

Davide Venturelli^1,2 and Denis Feinberg¹

¹ Institut NÉEL, CNRS and Université Joseph Fourier - 25 rue des Martyrs, BP 166, F-38042 Grenoble cedex 9, France, EU
² NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR - Piazza San Silvestro 12, I-56127 Pisa, Italy, EU

Received: 16 April 2012
Accepted: 3 July 2012

Abstract

We consider the effect of Coulomb interactions in the propagation of single 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 with a non-crossing approximation perturbatively on the tunneling amplitudes using exact solutions of the interacting Green's functions, valid for sufficiently long propagation lengths. In the case of different channel velocities, the spin precession effect is evaluated, and the role of interaction parameters and wave vectors is discussed.