Self-consistent calculation of electric potentials in Hall devices

URN to cite this document:: urn:nbn:de:bvb:355-epub-196852

Kramer, Tobias ; Krueckl, Viktor ; Heller, Eric J. ; Parrott, Robert E.

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Date of publication of this fulltext: 21 Feb 2011 07:52

Alternative links to fulltext:DOI Arxiv

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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 ...