6533b823fe1ef96bd127e134
RESEARCH PRODUCT
Strictly correlated uniform electron droplets
M. SeidlP. Gori GiorgiEsa Räsänensubject
PhysicsQuantum PhysicsStrongly Correlated Electrons (cond-mat.str-el)ta114Condensed matter physicsElectron numberFOS: Physical sciencesFunction (mathematics)ElectronCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsCondensed Matter - Strongly Correlated ElectronsHomogeneousQuantum dotCoulombLimit (mathematics)Quantum Physics (quant-ph)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 | Physical Review B |