Regensburg 2010 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 11: Transport

HL 11.12: Talk

Monday, March 22, 2010, 17:00–17:15, H14

On the self-consistent calculation of the electric Hall potential — •Tobias Kramer, Christoph Kreisbeck, and Viktor Krueckl — Institute for Theoretical Physics, Uni Regensburg

Using a first-principles 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.