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arXiv · 0911.4886

Self-consistent calculation of electric potentials in Hall devices

Tobias Kramer·Viktor Krueckl·Eric J. Heller·Robert E. Parrott
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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, which resembles results obtained by conformal-mapping methods. As shown by a microscopic model of the current injection, the Hall effect is linked to specific boundary conditions at the particle reservoirs.

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Tobias Kramer, Viktor Krueckl, Eric J. Heller, Robert E. Parrott. 2009-11-25. Self-consistent calculation of electric potentials in Hall devices. https://doi.org/10.1103/physrevb.81.205306

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