Theory of Current-Induced Breakdown of the Quantum Hall Effect
Kenzo Ishikawa, Nobuki Maeda, Tetsuyuki Ochiai, Hisao Suzuki
Abstract
By studying the quantum Hall effect of stationary states with high values of injected current using a von Neumann lattice representation, we found that broadening of extended state bands due to a Hall electric field occurs and causes the breakdown of the quantum Hall effect. The Hall conductance agrees with a topological invariant that is quantized exactly below a critical field and is not quantized above a critical field. The critical field is proportional to B3/2 and is enhanced substantially if the extended states occupy a small fraction of the system.
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