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Scaling Relations for Gaps in Fractional Quantum Hall States

Ganpathy Murthy·K. Park·R. Shankar·J. K. Jain
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Abstract

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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Ganpathy Murthy, K. Park, R. Shankar, J. K. Jain. 1998-07-29. Scaling Relations for Gaps in Fractional Quantum Hall States. https://doi.org/10.1103/physrevb.58.15363

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