The maximum density droplet to lower density droplet transition in quantum dots

TL;DR

This paper investigates how Landau level mixing affects quantum dot wave functions and studies the transition from maximum density droplet states to lower density droplet states using optimized wave functions.

Contribution

It introduces an effective method to incorporate Landau level mixing via a Jastrow factor and analyzes the impact on quantum Hall state transitions.

Findings

Landau level mixing can be effectively modeled with a Jastrow factor.

The phase of many-body wave functions remains largely unaffected by Landau level mixing.

Transition from maximum density droplet to lower density droplet states is characterized and analyzed.

Abstract

We show that, Landau level mixing in two-dimensional quantum dot wave functions can be taken into account very effectively by multiplying the exact lowest Landau level wave functions by a Jastrow factor which is optimized by variance minimization. The comparison between exact diagonalization and fixed phase diffusion Monte Carlo results suggests that the phase of the many-body wave functions are not affected much by Landau level mixing. We apply these wave functions to study the transition from the maximum density droplet state (incipient integer quantum Hall state with angular momentum L=N(N-1)/2) to lower density droplet states (L>N(N-1)/2).