Filling factor dependence of the fractional quantum Hall effect gap

Details Filling factor dependence of the fractional quantum Hall effect gap Filling factor dependence of the fractional quantum Hall effect gap

2008-03-19

arxiv.org/abs/0803.2737v1

Phys. Rev. Lett. 100, 196805 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.100.196805

We directly measure the chemical potential jump in the low-temperature limit when the filling factor traverses the nu = 1/3 and nu = 2/5 fractional gaps in two-dimensional (2D) electron system in GaAs/AlGaAs single heterojunctions. In high magnetic fields B, both gaps are linear functions of B with slopes proportional to the inverse fraction denominator, 1/q. The fractional gaps close partially when the Fermi level lies outside. An empirical analysis indicates that the chemical potential jump for an IDEAL 2D electron system, in the highest accessible magnetic fields, is proportional to q^{-1}B^{1/2}.

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