Broken symmetry in density-functional theory: Analysis and cure

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© 2004 American Physical Society (APS). This is the accepted version of the following article: Harju, A. & Räsänen, E. & Saarikoski, H. & Puska, M. J. & Nieminen, Risto M. & Niemelä, K. 2004. Broken symmetry in density-functional theory: Analysis and cure. Physical Review B. Volume 69, Issue 15. 153101/1-4. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.69.153101, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.69.153101.
Final published version

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Journal Title

Journal ISSN

Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2004

Major/Subject

Mcode

Degree programme

Language

en

Pages

153101/1-4

Series

Physical Review B, Volume 69, Issue 15

Abstract

We present a detailed analysis of the broken-symmetry mean-field solutions using a four-electron rectangular quantum dot as a model system. Comparisons of the density-functional theory predictions with the exact ones show that the symmetry-breaking results from the single-configuration wave function used in the mean-field approach. As a general cure we present a scheme that systematically incorporates several configurations into the density-functional theory and restores the symmetry. This cure is easily applicable to any density-functional approach.

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Keywords

quantum dots, density-functional theory

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Citation

Harju, A. & Räsänen, E. & Saarikoski, H. & Puska, M. J. & Nieminen, Risto M. & Niemelä, K. 2004. Broken symmetry in density-functional theory: Analysis and cure. Physical Review B. Volume 69, Issue 15. 153101/1-4. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.69.153101.