Diagonalizations on a correlated basis

S Siljamaki, A Harju, E Räsänen, J Suorsa, RM Nieminen

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

Abstract

Unsymmetrical quantum-dot systems are generally difficult to study using wave-function techniques, like quantum Monte Carlo (QMC) or exact diagonalization (ED) methods. The initial trial wave function for Monte Carlo methods is difficult to find, and the exact diagonalization method can only handle very few particles.

In this article a two-dimensional semiconductor quantum dot containing a non-centered impurity ion is studied, using a new exact wave-function method. Results are analyzed and compared to density-functional-theory calculations. The computational method allows one to relax the commonly used lowest-Landau level (LLL) approximation, and it's effects are studied, e.g., on the charge and current density profiles.

The method, which is a combination of QMC and ED methods, is described. It combines the scalability of Monte Carlo methods with the benefits of exact diagonalization, and allows one to accurately obtain the wave function for unsymmetrical quantum dots up to more than ten electrons. Also, excited states are accessible and are analyzed in this article. (C) 2004 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)441-445
Number of pages5
JournalPhysica E: Low-dimensional Systems and Nanostructures
Volume26
Issue number1-4
DOIs
Publication statusPublished - Feb 2005
Externally publishedYes
Publication typeA1 Journal article-refereed
Event3rd International Conference on Quantum Dots (QD 2004) - Banff, Canada
Duration: 10 May 200413 May 2004

Keywords

  • diagonalization
  • quantum Monte Carlo method
  • quantum dots
  • QUANTUM DOTS

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