Spin relaxations in semiconductor quantum dots

TL;DR

This paper investigates how various factors like magnetic and electric fields, temperature, and quantum dot size affect spin relaxation times in GaAs quantum dots, highlighting the limitations of perturbation methods.

Contribution

It provides a detailed analysis using exact diagonalization, demonstrating the inadequacy of perturbation approaches for accurate spin relaxation predictions.

Findings

Magnetic field significantly influences spin relaxation time.

Quantum dot size and temperature affect relaxation dynamics.

Perturbation methods are insufficient for precise modeling.

Abstract

The spin relaxation time due to the electron-acoustic phonon scattering in GaAs quantum dots is studied after the exact diagonalization of the electron Hamiltonian with the spin-orbit coupling. Different effects such as the magnetic field, the quantum dot size, the temperature as well as the electric field on the spin relaxation time are investigated in detail. Moreover, we show that the perturbation method widely used in the literature is inadequate in accounting for the electron structure and therefore the spin relaxation time.