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Quantum percolation in the quantum hall regime
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Sohrmann, C., Oswald, J. and Roemer, Rudolf A. (2008) Quantum percolation in the quantum hall regime. In: Sen, A. K. and Bardhan, K. K. (Kamal K.), 1952- and Chakrabarti , B. K. (Bikas K.), 1952-, (eds.) Quantum and Semi-classical Percolation and Breakdown in Disordered Solids. Lecture Notes in Physics, Vol.762 . Berlin: Springer Verlag, pp. 1-31. ISBN 9783540854272
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Official URL: http://dx.doi.org/10.1007/978-3-540-85428-9_6
Abstract
In 1980, an altogether unexpected discovery was made by Klaus von Klitzing and coworkers [1] when carrying out Hall measurements on a metal-oxide-semiconductor field-effect transistor (MOSFET) . They discovered that for a system of electrons confined to two dimensions and subject to a strong, perpendicular magnetic field, B, the resistivity tensor, ρ, and the conductivity tensor, σ, can freeze to the form with j being an integer3. Astonishingly, it turned out that this quantisation holds over a wide range of B or the applied voltage, forming quantised plateaus, and is independent of the sample geometry and choice of material.
Item Type: | Book Item | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing |
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Library of Congress Subject Headings (LCSH): | Quantum Hall effect, Metal oxide semiconductor field-effect transistors | ||||
Series Name: | Lecture Notes in Physics | ||||
Publisher: | Springer Verlag | ||||
Place of Publication: | Berlin | ||||
ISBN: | 9783540854272 | ||||
ISSN: | 0075-8450 | ||||
Book Title: | Quantum and Semi-classical Percolation and Breakdown in Disordered Solids | ||||
Editor: | Sen, A. K. and Bardhan, K. K. (Kamal K.), 1952- and Chakrabarti , B. K. (Bikas K.), 1952- | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.762 | ||||
Page Range: | pp. 1-31 | ||||
DOI: | 10.1007/978-3-540-85428-9_6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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