Direct measurements of the fractional quantum Hall effect gaps

Abstract

We measure the chemical potential jump across the fractional gap in the low-temperature limit in the two-dimensional electron system of GaAs/AlGaAs single heterojunctions. In the fully spin-polarized regime, the gap for filling factor nu=1/3 increases LINEARLY with magnetic field and is coincident with that for nu=2/3, reflecting the electron-hole symmetry in the spin-split Landau level. In low magnetic fields, at the ground-state spin transition for nu=2/3, a correlated behavior of the nu=1/3 and nu=2/3 gaps is observed.

References in corpus (9)

• Resistance Spikes at Transitions between Quantum Hall Ferromagnets
• Fractional Quantum Hall Effect Measurements at Zero g-Factor
• Canted antiferromagnetic phase in a double quantum well in a tilted quantizing magnetic field
• Strong enhancement of the valley splitting in a 2D electron system in silicon
• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$
• Spin gap in the 2D electron system of GaAs/AlGaAs single heterojunctions in weak magnetic fields
• Signatures of spin in the n=1/3 Fractional Quantum Hall Effect
• Crossover and Coexistence of Quasiparticle Excitations in the Fractional Quantum Hall Regime at $\nu \le 1/3$
• Spin ordering: two different scenarios for the single and double layer structures in the fractional and integer quantum Hall effect regimes

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• Acoustic Studies of AC Conductivity Mechanisms in $n$-GaAs/AlGaAs in the Integer and Fractional Quantum Hall Effect Regime
• Second Landau Level Fractional Quantum Hall Effects in the Corbino Geometry
• Determination of $g$-factor in InAs two-dimensional electron system by capacitance spectroscopy
• Driven quantum dot coupled to a fractional quantum Hall edge
• Spin transition in the fractional quantum Hall regime: Effect of extent of the wave function
• Magnetocapacitance oscillations and thermoelectric effect in two-dimensional electron gas irradiated by microwaves
• Hamiltonian Theory of Disorder at 1/3
• Density of states measurements for heavy subband of holes in HgTe quantum wells
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• Surface Acoustic Waves Probe of the Spin Phase Transition at $\nu$=2/3 in n-GaAs/AlGaAs structure