Spin precession caused by spin-spin interaction between bounded electrons in quantum dots

TL;DR

This paper investigates how spin-spin interactions between two electrons in a quantum dot induce synchronized precession, with the precession period depending on the quantum dot's size, revealing potential quantum control mechanisms.

Contribution

It provides a detailed analysis of spin precession caused by spin-spin interactions in quantum dots, including the dependence on dot size and initial spin configuration.

Findings

Spin-spin interaction causes synchronized spin precession.

Precession period scales with the cube of the quantum dot radius.

For a 50 nm radius quantum dot, the period is approximately 12 microseconds.

Abstract

In this paper, we study the spin-spin interaction between two electrons bounded in a quantum dot. The result shows that spin-spin interaction will cause a pair of spins precessing synchronously. If the two spins are parallel at initial time, the total spin oscillates as a cosine function. If the two spins are antiparallel at initial time, the total spin keeps zero. The precessing period is proportional to the cube of quantum dot radius. For a 2D round quantum dot with radius $R=50{\text{nm}}$, the precessing period equals nearly $12\mu {\text{s}}$.