Self-consistent calculation of electric potentials in Hall devices

Kramer, Tobias and Krueckl, Viktor and Heller, Eric J. and Parrott, Robert E. (2010) Self-consistent calculation of electric potentials in Hall devices. PHYSICAL REVIEW B, 81 (20): 205306. ISSN 1098-0121,

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: REGIME;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Jul 2020 10:59
Last Modified: 30 Jul 2020 10:59
URI: https://pred.uni-regensburg.de/id/eprint/24729

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