Electron localization function for two-dimensional systems
arXiv:0801.2373 · doi:10.1103/PhysRevB.77.115108
Abstract
The concept of the electron localization function (ELF) is extended to two-dimensional (2D) electron systems. We show that the topological properties of the ELF in 2D are considerably simpler than in molecules studied previously. We compute the ELF and demonstrate its usefulness for various physical 2D systems, focusing on semiconductor quantum dots that effectively correspond to a confined 2D electron gas. The ELF visualizes the shell structure of harmonic quantum dots and provides insight into electron bonding in quantum-dot molecules. In external magnetic fields the ELF is found to be a useful measure of vorticity when analyzing the properties of quantum-Hall droplets. We show that the current-dependent term in the ELF expression is important in magnetic fields.
to appear in Phys. Rev. B (in print)
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Cited by in corpus (8)
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- Becke-Johnson-type exchange potential for two-dimensional systems
- Density gradients for the exchange energy of electrons in two dimensions
- Correlation energy of two-dimensional systems: Toward non-empirical and universal modeling
- Exchange-correlation orbital functionals in current-density-functional theory: Application to a quantum dot in magnetic fields
- Semi-local density functional for the exchange-correlation energy of electrons in two dimensions
- Semilocal approximations to the Kohn-Sham exchange potential as applied to a metal surface
- Electron localisation in static and time-dependent one-dimensional model systems