Effects of thickness in quantum dots at strong magnetic fields

TL;DR

This paper investigates how small thickness variations in quantum dots under strong magnetic fields influence their ground states, revealing new phases and changes in vortex structures due to modified electron interactions.

Contribution

It introduces a model accounting for thickness effects on quantum dot ground states and maps the resulting phase diagram, highlighting novel phases and wave functional changes.

Findings

Identification of new phases induced by thickness effects

Modification of effective electron interactions in quantum dots

Analysis of vortex structures across different phases

Abstract

We study the effects of thickness on the ground states of two-dimensional quantum dots in high magnetic fields. To be specific, we assume the thickness to be small so that only the lowest state in the corresponding direction is occupied, but which however leads to a modification of the effective interaction between the electrons. We find the ground state phase diagram and demonstrate the emergence of new phases as the thickness is accounted for. Finally, the wave functional form and vortex structure of different phases is analyzed.