Electron localization function for two-dimensional systems

2008/01/15 by E. Räsänen, E. Rasanen, A. Castro +2
Physics and Astronomy · #Advanced Chemical Physics Studies #Condensed matter physics #Electron #Electron localization function #Fermi gas #Function (biology) #Magnetic field #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiconductor #Semiconductor Quantum Structures and Devices #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.77.115108

published as Phys. Rev. B 77, 115108 (2008) · to appear in Phys. Rev. B (in print)

arxiv created 2008/01/15 · openalex publication_date 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 two dimensions 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.

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