Phonon modulation of the spin-orbit interaction as a spin relaxation mechanism in quantum dots

TL;DR

This study investigates how phonons influence spin relaxation in InSb quantum dots, highlighting conditions where relaxation can be minimized through magnetic field and size adjustments, with implications for quantum computing.

Contribution

It introduces a detailed calculation of spin relaxation rates considering phonon interactions and spin-orbit effects, identifying regimes for relaxation suppression in quantum dots.

Findings

Spin relaxation rates depend on magnetic field and dot size.

Certain magnetic fields and sizes can suppress spin relaxation.

Dresselhaus spin-orbit interaction influences relaxation behavior.

Abstract

We calculate the spin relaxation rates in a parabolic InSb quantum dots due to the spin interaction with acoustical phonons. We considered the deformation potential mechanism as the dominant electron-phonon coupling in the Pavlov-Firsov spin-phonon Hamiltonian. By studying suitable choices of magnetic field and lateral dot size, we determine regions where the spin relaxation rates can be practically suppressed. We analyze the behavior of the spin relaxation rates as a function of an external magnetic field and mean quantum dot radius. Effects of the spin admixture due to Dresselhaus contribution to spin-orbit interaction are also discussed.