Symmetry of `molecular' configurations of interacting electrons in a quantum dot in strong magnetic fields

Abstract

A molecular description for magic-number configurations of interacting electrons in a quantum dot in high magnetic fields developed by one of the authors has been elaborated for four, five and six electron dots. For four electrons, the magic spin-singlet states are found to alternate between two different resonating valence bond (RVB)-like states. For the five-electron spin-polarized case, the molecular description is shown to work for the known phenomenon of magic-number sequences that correspond to both the N-fold symmetric ring configuration and a $(N-1)$-fold symmetric one with a center electron. A six-electron dot is shown here to have an additional feature in which inclusion of quantum mechanical mixing between classical configurations, which are deformed and degenerate, restores the N-fold symmetry and reproduces the ground-state energy accurately.

4 pages, to be published in Physisca B

References in corpus (1)

• Origin of Magic Angular Momentum in a Quantum Dot under Strong Magnetic Field

Cited by in corpus (7)

• Vertically coupled double quantum dots in magnetic fields
• Intermediate Low Spin States in a Few-electron Quantum Dot in the $\nu \le 1$ Regime
• Configuration interaction method for Fock-Darwin states
• Fractionalization into merons in quantum dots
• Rotating electrons in quantum dots: Quantum Hall liquid in the classical limit
• Meron ground states of quantum Hall droplets
• Transitions between electron-molecule states in electrostatic quantum dots