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Proceedings Paper

Breakdown of theinterger quantum hall effect: a microscopic model wirh a hydronamical analogy
Author(s): A. M. Martin; Laurence Eaves; K. A. Benedict
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Paper Abstract

In samples used to maintain the US resistance standard the breakdown of the dissipationless integer quantum Hall effect occurs as a series of dissipative voltage steps. A mechanism for this type of breakdown is proposed and a parameter-free microscopic model is presented. In this model we calculate the rate of generation of electron-hole pairs due to charged impurity scattering and develop a simple, self-consistent, model for their motion. We thereby determine the rate of pair production and the size of the voltage steps. We then draw an analogy between this type of breakdown and vortex anti-vortex pairs formed behind a stationary obstacle in a flowing fluid.

Paper Details

Date Published: 11 June 2003
PDF: 4 pages
Proc. SPIE 5023, 10th International Symposium on Nanostructures: Physics and Technology, (11 June 2003); doi: 10.1117/12.513914
Show Author Affiliations
A. M. Martin, Univ. of Nottingham (United Kingdom)
Laurence Eaves, Univ. of Nottingham (United Kingdom)
K. A. Benedict, Univ. of Nottingham (United Kingdom)


Published in SPIE Proceedings Vol. 5023:
10th International Symposium on Nanostructures: Physics and Technology
Zhores I. Alferov; Leo Esaki, Editor(s)

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