Hamiltonian Theory of the Fractional Quantum Hall Effect: Effect of Landau Level Mixing

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Scientific paper

10.1103/PhysRevB.65.245309

We derive an effective hamiltonian in the Lowest Landau Level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy. We then transcribe the hamiltonian to the composite fermion basis using our hamiltonian approach and compute the effect of LL mixing on transport gaps.

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