Spin-density-functional theory of circular and elliptical quantum dots

1998/08/18 by Kei Hirose, Kenji Hirose, Ned S. Wingreen · 9 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.59.4604

10 pages, 3 figures

arxiv created 1998/08/18 · openalex publication_date 1999/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using spin-density-functional theory, we study the electronic states of a two-dimensional parabolic quantum dot with up to N=58 electrons. We observe a shell structure for the filling of the dot with electrons. Hund's rule determines the spin configuration of the ground state, but only up to 22 electrons. At specific N, the ground state is degenerate, and a small elliptical deformation of the external potential induces a rotational charge-density-wave state. Previously identified spin-density-wave states are shown to be artifacts of broken spin symmetry in density-functional theory.

Citations

• Self-Consistent Equations Including Exchange and Correlation Effects

Cited by

• Brueckner-Hartree-Fock study of circular quantum dots
• Wigner crystallization in the two electron quantum dot
• Semiclassical density functional theory: Strutinsky energy corrections in quantum dots
• Collective charge-density excitations of noncircular quantum dots in a magnetic field
• Configuration interaction method for Fock–Darwin states
• Strongly correlated quantum dots in weak confinement potentials and magnetic fields
• Dissociation of Vertical Semiconductor Diatomic Artificial Molecules
• Vertically coupled quantum dots in the local spin-density functional theory
• Exchange-correlation energy densities for two-dimensional systems from quantum dot ground states