Model interactions for Pfaffian paired states based on Chern-Simons field theory description

Abstract

On the basis of Chern-Simons field-theoretical description we propose a simple method for derivation of model interactions for Pfaffian paired states. We verify the method in the case of Pfaffian (i.e. Moore - Read) state, and derive a general form of the model interaction in the case of PH Pfaffian. More than one Landau level is needed to establish the correlations of the PH Pfaffian, and we present the values of relevant three-body pseudo-potentials for two Landau levels.

arXiv comment13 pages, 3 figures

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Cited by in corpus (6)

• Fractional charge and fractional statistics in the quantum Hall effects
• PH-Pfaffian order in a translationally and rotationally invariant system
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Pfaffian paired states for half-integer fractional quantum Hall effect
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• PH Pfaffian intra and inter correlations in the quantum Hall bilayer