Berry Phase in a Single Quantum Dot with Spin-Orbit Interaction

TL;DR

This paper theoretically investigates the Berry phase in a single quantum dot with Rashba spin-orbit interaction, showing how it varies with magnetic field, dot size, and coupling constants, revealing dramatic changes from 0 to 2π.

Contribution

It provides a detailed theoretical analysis of Berry phase dependence on multiple parameters in quantum dots with spin-orbit coupling, highlighting conditions for significant phase shifts.

Findings

Berry phase varies from 0 to 2π with increasing magnetic field

Threshold magnetic field depends on dot size and spin-orbit coupling

Berry phase behavior is sensitive to system parameters

Abstract

Berry phase in a single quantum dot with Rashba spin-orbit coupling is investigated theoretically. Berry phases as functions of magnetic field strength, dot size, spin-orbit coupling and photon-spin coupling constants are evaluated. It is shown that the Berry phase will alter dramatically from 0 to $2\pi$ as the magnetic field strength increases. The threshold of magnetic field depends on the dot size and the spin-orbit coupling constant.