Probing the Shape of Quantum Dots with Magnetic Fields

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.

11 pages, 4 figures

References in corpus (4)

• Spin-density-functional theory of circular and elliptical quantum dots
• Ellipsoidal deformation of vertical quantum dots
• Hidden symmetries of two-electron quantum dots in a magnetic field
• Magnetization of noncircular quantum dots

Cited by in corpus (7)

• Two-electron lateral quantum-dot molecules in a magnetic field
• Two-electron entanglement in elliptically deformed quantum dots
• Spin configurations in circular and rectangular vertical quantum dots in a magnetic field: Three-dimensional self-consistent simulation
• Two-electron quantum dot in a magnetic field: Analytic solution for finite potential model
• Eigenvalue Problem in Two Dimension for An Irregular Boundary
• Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots
• Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition