2009/11/30 by Tobias Kramer, Viktor Krueckl, Eric J. Heller +1 · 3 citations
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.81.205306
published as Phys. Rev. B 81, 205306 (2010) · 6 pages, 7 figures
arxiv created 2010/04/12 · openalex publication_date 2010/05/06 · arxiv updated 2010/05/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using a first-principles classical many-body simulation of a Hall bar, we study the necessary conditions for the formation of the Hall potential: (i) Ohmic contacts with metallic reservoirs, (ii) electron-electron interactions, and (iii) confinement to a finite system. By propagating thousands of interacting electrons over million time-steps we capture the build-up of the self-consistent potential. The microscopic model sheds light on the current injection process and directly links the Hall effect to specific boundary conditions at the particle reservoirs.