Theory of Current-Induced Breakdown of the Quantum Hall Effect

Details Theory of Current-Induced Breakdown of the Quantum Hall Effect Theory of Current-Induced Breakdown of the Quantum Hall Effect

1998-03-31

arxiv.org/abs/cond-mat/9803376v2

PRB 58, 13391R (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, RevTeX, final version to appear in PRB

Scientific paper

10.1103/PhysRevB.58.R13391

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 $B^{3/2}$ and is enhanced substantially if the extended states occupy a small fraction of the system.

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