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28 March 2024
 
  » arxiv » 1101.6049

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Strongly correlated uniform electron droplets
E. Rasanen ; M. Seidl ; P. Gori-Giorgi ;
Date 31 Jan 2011
AbstractWe study the energetic properties of finite but internally homogeneous D-dimensional electron droplets in the strong-correlation limit. The indirect Coulomb interaction is found to increase as a function of the electron number, approaching the tighter forms of the Lieb-Oxford bound recently proposed by Rasanen et al. [Phys. Rev. Lett. 102, 206406 (2009)]. The bound is satisfied in three- and two-, and one-dimensional droplets, and in the latter case it is reached exactly -- regardless of the type of interaction considered. Our results provide insightful reference data for delocalized strongly correlated systems, and they can be used in the development and testing of exchange-correlation density functionals in the framework of density-functional theory.
Source arXiv, 1101.6049
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