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Pis'ma v Zh. Èksper. Teoret. Fiz., 2009, Volume 89, Issue 11, Pages 670–675 (Mi jetpl444)  

CONDENSED MATTER

Thermodynamic measurements in a fractional quantum Hall effect and the composite-fermion approach

M. G. Prokudinaab, V. S. Khrapaib

a Moscow Institute of Physics and Technology
b Institute of Solid State Physics, Russian Academy of Sciences

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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English version:
Journal of Experimental and Theoretical Physics Letters, 2009, 89:11, 568–574

Bibliographic databases:

PACS: 73.21.-b, 73.43.-f
Received: 29.04.2009

Citation: M. G. Prokudina, V. S. Khrapai, “Thermodynamic measurements in a fractional quantum Hall effect and the composite-fermion approach”, Pis'ma v Zh. Èksper. Teoret. Fiz., 89:11 (2009), 670–675; JETP Letters, 89:11 (2009), 568–574

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