Applied Physics Letters · 2000 · 39 citations · 24 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsSemiconductor MaterialsThin FilmsAb Initio MethodsElectronic Band StructureQuantum ConfinementSemiconductor PhysicsSemiconductor Thin FilmsThin-film MaterialsAb Initio CalculationsBand GapElectronic Density Of StatesElectronic Structure AnalysisFilm ThicknessLocalized StatesNanostructuresSemiconductor Nanostructures
An ab initio study of the electronic structure of the one-dimensional quantum-confined H-passivated crystalline ultrathin Si in large thickness range of 2.7–27.0 Å has been made, employing a self-consistent full potential linear muffin-tin orbital (FPLMTO) method along with the density functional theory in local approximation. Calculations have been performed for a quite big unit cell with sufficient separation between the unit cells to avoid interference effects between the two surfaces of a unit cell as well as between the two successive unit cells. The present results show the absence of overlocalized states in quantum-confined systems and the occurrence of the extended states responsible for the luminescence observed in quantum-confined nanostructures. The presently calculated values of the band gap show an exponential rise with a decrease in the quantum-confined size in the ultrathin film region. The present results have been obtained for a more extended film thickness region as compared to earlier ab initio calculations.
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Density-Functional Theory of the Energy Gap
L. J. Sham, M. Schlüter · Physical Review Letters · 1983 · 1.9K citations