Effect of many-body quantum fluctuations on matrix Berry phases of a two-dimensional n-type semiconductor quantum dot

TL;DR

This paper investigates how many-body quantum fluctuations influence matrix Berry phases in two-dimensional semiconductor quantum dots, finding that inversion symmetry prevents their occurrence, but broken symmetry allows significant effects.

Contribution

It demonstrates that many-body correlations do not induce matrix Berry phases in symmetric quantum dots but can significantly alter them when symmetry is broken.

Findings

Inversion symmetry prevents finite matrix Berry phases.

Broken symmetry allows finite Berry phases.

Many-body fluctuations can significantly modify Berry phases.

Abstract

In the presence of spin-orbit coupling and inversion symmetry of the lateral confinement potential a single electron does not exhibit matrix Berry phases in quasi-two-dimensional semiconductor quantum dots. In such a system we investigate whether many-body correlation effects can lead to finite matrix Berry phases. We find that the transformation properties of many-electron wavefunctions under two-dimensional inversion operation do not allow finite matrix Berry phases. This effect is exact and is independent of the form of electron-electron interactions. On the other hand, quasi-two-dimensional semiconductor quantum dots with lateral confinement potential without inversion symmetry can have finite matrix Berry phases. We find that many-body quantum fluctuations can change matrix Berry phases significantly in such systems.