Mr. Melvin Creff Profile

Melvin Creff

at Lab des Sciences du Numérique

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Proceedings Article | 1 August 2021 Presentation

Hall effect : do not forget the surface currents

Jean-Eric Wegrowe, Félix Faisant, Melvin Creff

Proceedings Volume 11805, 1180529 (2021) https://doi.org/10.1117/12.2596454

KEYWORDS: Thermodynamics, Magnetism

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We study the stationary state of Hall-bar devices composed of a load circuit connected to the lateral edges of a Hall-bar. We follow the approach developed in a previous work (Creff et al. J. Appl. Phys 2020) in which the stationary state of a ideal Hall bar is defined by the minimum power dissipation principle. The presence of both the lateral circuit and the magnetic field induces the injection of a current: the so-called Hall current. Analytical expressions for the longitudinal and the transverse currents are derived. The same analysis is performed on the spin-Hall effect, in the framework of the two spin-channel model.

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