Field-induced breakdown of the quantum Hall effect

Details Field-induced breakdown of the quantum Hall effect Field-induced breakdown of the quantum Hall effect

1999-06-17

arxiv.org/abs/cond-mat/9906264v1

Phys.Rev. B60 (1999) 8218

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, Revtex, 3 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.60.8218

A numerical analysis is made of the breakdown of the quantum Hall effect caused by the Hall electric field in competition with disorder. It turns out that in the regime of dense impurities, in particular, the number of localized states decreases exponentially with the Hall field, with its dependence on the magnetic and electric field summarized in a simple scaling law. The physical picture underlying the scaling law is clarified. This intra-subband process, the competition of the Hall field with disorder, leads to critical breakdown fields of magnitude of a few hundred V/cm, consistent with observations, and accounts for their magnetic-field dependence \propto B^{3/2} observed experimentally. Some testable consequences of the scaling law are discussed.

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