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RESEARCH PRODUCT
Lower Bounds on the Exchange-Correlation Energy in Reduced Dimensions
Stefano PittalisStefano PittalisCesar Ramon ProettoEsa RäsänenEsa RäsänenKlaus CapelleKlaus Capellesubject
Chemical Physics (physics.chem-ph)Condensed Matter - Materials ScienceStrongly Correlated Electrons (cond-mat.str-el)Condensed Matter - Mesoscale and Nanoscale PhysicsCrossoverMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesGeneral Physics and AstronomyCondensed Matter - Strongly Correlated ElectronsQuantum dotPhysics - Chemical PhysicsQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Line (geometry)POÇOS QUÂNTICOSExponentDensity functional theoryStatistical physicsFermi gasScalingEnergy (signal processing)Mathematicsdescription
Bounds on the exchange-correlation energy of many-electron systems are derived and tested. By using universal scaling properties of the electron-electron interaction, we obtain the exponent of the bounds in three, two, one, and quasi-one dimensions. From the properties of the electron gas in the dilute regime, the tightest estimate to date is given for the numerical prefactor of the bound, which is crucial in practical applications. Numerical tests on various low-dimensional systems are in line with the bounds obtained, and give evidence of an interesting dimensional crossover between two and one dimensions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 | Physical Review Letters |