Abstract
A quantitative comparison of the magnetocapacitance measurements on high-quality samples in the fractional quantum Hall effect with the composite-fermion approach has been performed. For this comparison, the relation between the electron chemical potential μ e and quasi-particle spectrum has been derived. The effect of the temperature T has been calculated in the two-level approximation. The calculation quantitatively describes the decrease in the measured chemical-potential jump at filling factors of ν = 1/3, 2/5 with increasing T. In the compressible range 1/3 < ν < 2/5, the slope of the temperature dependence dμe/dν(T) is also in agreement with the calculation. The discrepancy of the composite-fermion approach with the experimental data is in the incorrectly predicted gaps and their dependence on the denominator of a fraction.
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Original Russian Text © M.G. Prokudina, V.S. Khrapai, 2009, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 89, No. 11, pp. 670–675.
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Prokudina, M.G., Khrapai, V.S. Thermodynamic measurements in a fractional quantum hall effect and the composite-fermion approach. Jetp Lett. 89, 568–574 (2009). https://doi.org/10.1134/S0021364009110095
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DOI: https://doi.org/10.1134/S0021364009110095