Hamiltonian Theory of the Fractional Quantum Hall Effect: Effect of   Landau Level Mixing
  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. 
Ganpathy Murthy and R. Shankar