Strictly correlated uniform electron droplets

E. Rasanen, M. Seidl, P. Gori Giorgi

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Abstract

We study the energetic properties of finite but internally homogeneous D-dimensional electron droplets in the strict-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 Räsänen [Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.102.206406 102, 206406 (2009)]. The bound is satisfied in three-, two-, and one-dimensional droplets, and in the latter case it is reached exactly-regardless of the type of interaction considered. Our results provide useful 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. © 2011 American Physical Society.
Original languageEnglish
Article number195111
Pages (from-to)195111
Number of pages8
JournalPhysical Review B. Condensed Matter and Materials Physics
Volume83
DOIs
Publication statusPublished - 2011

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