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Interaction effects in the mesoscopic regime: A quantum Monte Carlo study of irregular quantum dots

Amit Ghosal, C. J. Umrigar, Hong Jiang, Denis Ullmo, and Harold U. Baranger
Phys. Rev. B 71, 241306(R) – Published 14 June 2005

Abstract

We address the issue of accurately treating interaction effects in the mesoscopic regime by investigating the ground-state properties of isolated irregular quantum dots. Quantum Monte Carlo techniques are used to calculate the distributions of ground-state spin and addition energy. We find a reduced probability of high spin and a somewhat larger even/odd alternation in the addition energy from quantum Monte Carlo than in local spin-density-functional theory. In both approaches, the even/odd effect gets smaller with increasing number of electrons, contrary to the theoretical understanding of large dots. We argue that the local spin-density approximation overpredicts the effects of interactions in quantum dots.

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  • Received 15 April 2005

DOI:https://doi.org/10.1103/PhysRevB.71.241306

©2005 American Physical Society

Authors & Affiliations

Amit Ghosal1, C. J. Umrigar2, Hong Jiang1,3,*, Denis Ullmo1,†, and Harold U. Baranger1

  • 1Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA
  • 2Theory Center and Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
  • 3Department of Chemistry, Duke University, Durham, North Carolina 27708-0354, USA

  • *Present address: Institut für Theoretische Physik, J. W. Goethe- Universität, Frankfurt am Main, Germany.
  • Permanent address: Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), 91405 Orsay Cedex, France.

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Issue

Vol. 71, Iss. 24 — 15 June 2005

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