Scaling relations for gaps in fractional quantum Hall states

Ganpathy Murthy, K. Park, R. Shankar, J. Jain

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

The microscopic Hamiltonian approach of Murthy and Shankar, which has recently been used to calculate the transport gaps of quantum Hall states with fractions (Formula presented) also implies scaling relations between gaps within a single sequence (fixed (Formula presented) 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.

Original languageEnglish (US)
Pages (from-to)15363-15366
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume58
Issue number23
DOIs
StatePublished - Jan 1 1998

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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