Scaling Relations for Gaps in Fractional Quantum Hall States

Details Scaling Relations for Gaps in Fractional Quantum Hall States Scaling Relations for Gaps in Fractional Quantum Hall States

1998-07-29

arxiv.org/abs/cond-mat/9807387v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.58.15363

The microscopic approach of Murthy and Shankar, which has recently been used to calculate the transport gaps of quantum Hall states with fractions p/(2ps+1), also implies scaling relations between gaps within a single sequence (fixed s) as well as between gaps of corresponding states in different sequences. This work tests these relations for a system of electrons in the lowest Landau level interacting with a model potential cutoff at high momenta due to sample thickness.

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