Semiconductor quantum dots in high magnetic fields: The composite-fermion view

TL;DR

This paper reviews and extends the composite fermion theory for semiconductor quantum dots in high magnetic fields, demonstrating its effectiveness in accurately describing the ground state at high angular momenta through numerical calculations.

Contribution

The paper advances the microscopic composite fermion theory by incorporating interactions and $ ext{Λ}$ level mixing, improving understanding of quantum dot ground states in high magnetic fields.

Findings

Microscopic CF theory accurately describes quantum dot ground states.

Interactions between composite fermions are crucial for qualitative physics.

Systematic improvements are possible by including $ ext{Λ}$ level mixing.

Abstract

We review and extend the composite fermion theory for semiconductor quantum dots in high magnetic fields. The mean-field model of composite fermions is unsatisfactory for the qualitative physics at high angular momenta. Extensive numerical calculations demonstrate that the microscopic CF theory, which incorporates interactions between composite fermions, provides an excellent qualitative and quantitative account of the quantum dot ground state down to the largest angular momenta studied, and allows systematic improvements by inclusion of mixing between composite fermion Landau levels (called $\Lambda$ levels).