Breakdown of theinterger quantum hall effect: a microscopic model wirh a hydronamical analogy

A. M. Martin; Laurence Eaves; K. A. Benedict

doi:10.1117/12.513914

11 June 2003 Breakdown of the interger quantum Hall effect: a microscopic model with a hydronamical analogy

A. M. Martin, Laurence Eaves, K. A. Benedict

Proceedings Volume 5023, 10th International Symposium on Nanostructures: Physics and Technology; (2003) https://doi.org/10.1117/12.513914
Event: 2003 Chapter books, 2003, Bellingham, WA, United States

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.

Citation Download Citation

A. M. Martin, Laurence Eaves, and K. A. Benedict "Breakdown of the interger quantum Hall effect: a microscopic model with a hydronamical analogy", Proc. SPIE 5023, 10th International Symposium on Nanostructures: Physics and Technology, (11 June 2003); https://doi.org/10.1117/12.513914

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