Finite-thickness effects in ground-state transitions of two-electron quantum dots

Abstract

Using the exactly solvable excitation spectrum of two-electron quantum dots with parabolic potential, we show that the inclusion of the vertical extension of the quantum dot provides a consistent description of the experimental findings of Nishi et al. [Phys.Rev.B75, 121301(R) (2007)]. We found that the second singlet-triplet transition in the ground state is a vanishing function of the lateral confinement in the three-dimensional case, while it always persists in the two-dimensional case. We show that a slight decrease of the lateral confinement leads to a formation of the Wigner molecule at low magnetic fields.

5 pages, 4 figures

References in corpus (5)

• Excitation spectrum of two correlated electrons in a lateral quantum dot with negligible Zeeman splitting
• Semiclassical analysis of a two-electron quantum dot in a magnetic field: dimensional phenomena
• Roto-vibrational spectrum and Wigner crystallization in two-electron parabolic quantum dots
• Intermediate Low Spin States in a Few-electron Quantum Dot in the $\nu \le 1$ Regime
• Symmetry breaking and the random-phase approximation in small quantum dots

Cited by in corpus (7)

• Effects of symmetry breaking in finite quantum systems
• Dynamical screening of the Coulomb interaction for two confined electrons in a magnetic field
• Separability and Dynamical Symmetry of Quantum Dots
• Effects of thickness in quantum dots at strong magnetic fields
• A geometrical crossover in excited states of two-electron quantum dots in a magnetic field
• Entanglement as an indicator of a geometrical crossover in a two-electron quantum dot in a magnetic field
• Geometrical crossover in two-body systems in a magnetic field