The quantum mechanical problem on the motion of electrons in a strong (quantizing the motion) magnetic field is considered, taking into account the Coulomb interaction between charges. It is shown how, on the basis of the solutions found, it is possible to obtain the fractional filling factor of the Landau levels that enters into the expression for the Hall conductivity of a two-dimensional electron gas.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 25–29, March, 1990.
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Khalilov, V.R. Two-dimensional electron gas in a strong magnetic field. II. Soviet Physics Journal 33, 223–226 (1990). https://doi.org/10.1007/BF00895956
- Magnetic Field
- Coulomb Interaction
- Filling Factor
- Strong Magnetic Field
- Landau Level