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A microscopic theory of the quantized Hall effects

Author

Listed:
  • Toyoda, Tadashi
  • Gudmundsson, Vidar
  • Takahashi, Yasushi

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.

Suggested Citation

  • Toyoda, Tadashi & Gudmundsson, Vidar & Takahashi, Yasushi, 1985. "A microscopic theory of the quantized Hall effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(1), pages 164-178.
    • Handle: RePEc:eee:phsmap:v:132:y:1985:i:1:p:164-178
    DOI: 10.1016/0378-4371(85)90122-0
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    References listed on IDEAS

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    1. Ohtani, Kazuhiro & Toyoda, Toshihisa, 1980. "Estimation of regression coefficients after a preliminary test for homoscedasticity," Journal of Econometrics, Elsevier, vol. 12(2), pages 151-159, February.
    2. Amy Tsui & Dennis Hogan & Jay Teachman & Carlos Welti-Chanes, 1981. "Community availability of contraceptives and family limitation," Demography, Springer;Population Association of America (PAA), vol. 18(4), pages 615-625, November.
    3. Toyoda, T. & Wallace, T. Dudley, 1979. "Pre-testing on part of the data," Journal of Econometrics, Elsevier, vol. 10(1), pages 119-123, April.
    4. Toyoda, Takeshi & Wago, Hajime, 1978. "The Measurement of Income Inequality," Economic Review, Hitotsubashi University, vol. 29(4), pages 361-371, October.
    5. Wakabayashi, Nobuo, 1981. "生産双対性とフレキシブル関数形について = On Production Duality and Flexible Functional Forms," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 31(3/4), pages 299-320.
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