Configuration interaction method for Fock-Darwin states
arXiv:cond-mat/0304275 · doi:10.1016/j.ssc.2003.12.039
Abstract
We present a configuration interaction method optimized for Fock-Darwin states of two-dimensional quantum dots with an axially symmetric, parabolic confinement potential subject to a perpendicular magnetic field. The optimization explicitly accounts for geometrical and dynamical symmetries of the Fock-Darwin single-particle states and for many-particle symmetries associated with the center-of-mass motion and with the total spin. This results in a basis set of reduced size and improved accuracy. The numerical results compare well with the quantum Monte Carlo and stochastic variational methods. The method is illustrated by the evolution of a strongly correlated few-electron droplet in a magnetic field in the regime of the fractional quantum Hall effect.
17 pages, 3 figures, ReVTeX4, submitted to Solid State Communications
References in corpus (20)
- Wigner Crystallization in mesoscopic 2D electron systems
- Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
- Addition Spectra of Quantum Dots in Strong Magnetic Fields
- Spin-density-functional theory of circular and elliptical quantum dots
- Capacitance spectroscopy in quantum dots: Addition spectra and decrease of tunneling rates
- On the formation of Wigner molecules in small quantum dots
- Ellipsoidal deformation of vertical quantum dots
- Diffusion Monte Carlo study of circular quantum dots
- Quantum dots in magnetic fields: Phase diagram and broken symmetry of the Chamon-Wen edge
- Interacting electrons in polygonal quantum dots
- Laterally coupled few-electron quantum dots
- Nonuniqueness and derivative discontinuities in density-functional theories for current-carrying and superconducting systems
- Quantum-dot lithium in zero magnetic field: Electronic properties, thermodynamics, and a liquid-solid transition in the ground state
- Wigner molecules in quantum dots: a quantum Monte Carlo study
- Wigner molecules in quantum dots
- Low-lying excitations of Quantum Hall Droplets
- Spin-Blockade in Single and Double Quantum Dots in Magnetic Fields: a Correlation Effect
- Erratum: Diffusion Monte Carlo study of circular quantum dots
- Various spin-polarization states beyond the maximum-density droplet: a quantum Monte Carlo study
- Symmetry of `molecular' configurations of interacting electrons in a quantum dot in strong magnetic fields
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