Current distribution in Hall bars and breakdown of the quantum Hall effect
K. Shizuya
Abstract
A numerical study is made of current distribution in small Hall bars with disorder. It is observed, in particular, that in the Hall-plateau regime the Hall current tends to concentrate near the sample edges while it diminishes on average in the sample interior as a consequence of localization. Also reported is another numerical experiment on a related, but rather independent topic, the breakdown of the quantum Hall effect. It is pointed out that the competition of the Hall field with disorder in the sample interior, an intra-subband process, can account for both the magnitude and magnetic-field dependence (proportional to B3/2) of the critical breakdown fields observed experimentally.
Create a lesson
Related papers
Parametric Glassiness in Graphene-based Electronic Lévy Glass
Caue N. da Silva, Diego B. Fonseca, Adauto J. F. de Souza et al.
Giant geometric nonlinear transport in inhomogeneously strained Bi2Se3 single crystalline slabs
Igor Veremchuk, Pavlo Makushko, Anita Guarino et al.
Controlling the Atomic Reconstruction in Twisted MoSe2/WSe2 with a Monolayer hBN Spacer
Johannes Figueiredo, Kaiyuan Chen, Aubrey Penn et al.
Pulse-by-pulse imaging of reversible, collective reshaping in laser-excited gold nanorods
Mees Dieperink, Loriane Monin, Ichiro Ohnishi et al.
Atomic Edge Resonators Flatten Phonon Bands in Biphenylene Nanoribbons
V. L. Katkov, N. M. Chtchelkatchev, V. A. Osipov
Theory of exciton-exciton interactions in crystalline systems
L. Maisel Licerán, H. T. C. Stoof