Self-consistent calculation of electric potentials in Hall devices

Details Self-consistent calculation of electric potentials in Hall devices Self-consistent calculation of electric potentials in Hall devices

2009-11-25

arxiv.org/abs/0911.4886v2

Phys. Rev. B 81, 205306 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 7 figures

Scientific paper

10.1103/PhysRevB.81.205306

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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