Probing the Shape of Quantum Dots with Magnetic Fields
P.S.Drouvelis, P. Schmelcher, F.K. Diakonos

TL;DR
This paper introduces a method to determine the shape of quantum dots by analyzing their excited states' responses to magnetic fields, using spin and parity oscillations and magnetization as key indicators.
Contribution
The study develops a novel approach to identify quantum dot shapes through magnetic response analysis, applicable to various geometries.
Findings
Characteristic spin singlet-triplet crossovers for different shapes
Magnetization as a complementary shape probe
Response patterns depend on quantum dot geometry
Abstract
A tool for the identification of the shape of quantum dots is developed. By preparing a two-electron quantum dot, the response of the low-lying excited states to a homogeneous magnetic field, i.e. their spin and parity oscillations, is studied for a large variety of dot shapes. For any geometric configuration of the confinement we encounter characteristic spin singlet - triplet crossovers. The magnetization is shown to be a complementary tool for probing the shape of the dot.
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