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A microscopic theory of the quantized Hall effects

Tadashi Toyoda, Vidar Gudmundsson and Yasushi Takahashi

Physica A: Statistical Mechanics and its Applications, 1985, vol. 132, issue 1, 164-178

Abstract: A microscopic theory of the normal quantized Hall effect based on the canonical equation of motion for the current operators is presented. The obtained formula gives the Hall resistance as a function of the gate voltage and shows good agreement with the MOSFET experiment by von Klitzing et al. The formula also gives the temperature dependence quantitatively and shows explicitly how the plateaus disappear at higher temperatures.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:132:y:1985:i:1:p:164-178

DOI: 10.1016/0378-4371(85)90122-0

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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