The Effect of Landau Level-Mixing on the Effective Interaction between Electrons in the fractional quantum Hall regime

Abstract

We compute the effect of Landau-level-mixing on the effective two-body and three-body pseudopotentials for electrons in the lowest and second Landau levels. We find that the resulting effective three-body interaction is attractive in the lowest relative angular momentum channel. The renormalization of the two-body pseudopotentials also shows interesting structure. We comment on the implications for the $\nu =5/2$ fractional quantum Hall state.

References in corpus (5)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
• Spin polarization of the $\nu =5/2$ quantum Hall state

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