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• W1987687772 abstract "This paper summarizes an extensive study of the temperature dependence of magnetotransport in the fractional quantum Hall effect in GaAs-${mathrm{Al}}_{mathrm{x}}$${mathrm{Ga}}_{1mathrm{ensuremath{-}}mathrm{x}}$As heterostructure devices of varying mobility and density. For devices with electron mobility 400 000ensuremath{lesssim}ensuremath{mu}ensuremath{lesssim}1 000 000 ${mathrm{cm}}^{2}$/V s, we find a single activation energy, $^{3}/2$, in the longitudinal transport coefficients, ${ensuremath{sigma}}_{mathrm{xx}}$ and ${ensuremath{rho}}_{mathrm{xx}}$, for Landau-level filling factors ensuremath{nu}=(1/3, (2/3, (4/3, and (5/3, with a magnetic field dependence which is vanishingly small for Bensuremath{lesssim}5.5 T and increases to $^{3}6$.8 K at B=30 T. The observed $^{3}mathrm{ensuremath{Delta}}$ is smaller by more than a factor of 3 than either the unbound quasiparticle-quasihole pair-creation energy gap or the magneto-roton energy gap, calculated for an ideal two-dimensional electron system. Observations for devices of mobility ${ensuremath{mu}}_{0}$ensuremath{approxeq}300 000 ${mathrm{cm}}^{2}$/V s yield even smaller $^{3}mathrm{ensuremath{Delta}}$. Adequate fitting of all our results requires inclusion of finite electron layer thickness and disorder, with the effect of decreasing the energy gaps and providing a finite magnetic field threshold. At low temperatures and high magnetic fields, deviations from activated conduction are observed. These deviations are attributed to two-dimensional hopping conduction in a magnetic field. Samples of sufficiently low mobility, ${ensuremath{mu}}_{0}$ensuremath{lesssim}150 000 ${mathrm{cm}}^{2}$/V s exhibit no evidence of activated conduction. Rather, the transport is qualitatively consistent with two-dimensional hopping alone. Studies at Landau-level filling factors ensuremath{nu}=(2/5 and (3/5 also yield a single activation energy, $^{5}/2$, with a weak magnetic field dependence. Experimentally, we find $^{5}mathrm{}^{3}$ensuremath{Delta}ensuremath{sim}0.4, compared with an expected ratio of 0.28 from simple theoretical considerations." @default.
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• W1987687772 date "1987-11-15" @default.
• W1987687772 modified "2023-09-27" @default.
• W1987687772 title "Activation energies and localization in the fractional quantum Hall effect" @default.
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• W1987687772 doi "https://doi.org/10.1103/physrevb.36.7919" @default.
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