Ground state of two-dimensional quantum-dot helium in zero magnetic field: Perturbation, diagonalization, and variational theory

Orion Ciftja and A. Anil Kumar
Phys. Rev. B 70, 205326 – Published 17 November 2004

Abstract

We study the ground-state properties of two-dimensional quantum-dot helium in zero external magnetic field (a system of two interacting electrons in a two-dimensional parabolic confinement potential) by using perturbation and variational theory. We introduce a family of ground-state trial wave functions with one, two, and three variational parameters. We compare the perturbation and variational energies with numerically exact diagonalization results and earlier unrestricted Hartree-Fock studies. We find that the three-parameter variational wave function is an excellent representation of the true ground state and argue on how to generalize such a wave function for larger quantum dots with arbitrary numbers of electrons.

  • Figure
  • Received 22 March 2004

DOI:https://doi.org/10.1103/PhysRevB.70.205326

©2004 American Physical Society

Authors & Affiliations

Orion Ciftja

  • Department of Physics, Prairie View A&M University, Prairie View, Texas 77446, USA

A. Anil Kumar

  • Department of Physics and Department of Electrical Engineering, Prairie View A&M University, Prairie View, Texas 77446, USA

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Issue

Vol. 70, Iss. 20 — 15 November 2004

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