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A conformal field theory description of the paired and parafermionic states in the quantum Hall effect

G. Cristofano·G. Maiella·V. Marotta
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Abstract

We extend the construction of the effective conformal field theory for the Jain hierarchical fillings proposed in cond-mat/9912287 to the description of a quantum Hall fluid at non standard fillings nu=m/(pm+2). The chiral primary fields are found by using a procedure which induces twisted boundary conditions on the m scalar fields; they appear as composite operators of a charged and neutral component. The neutral modes describe parafermions and contribute to the ground state wave function with a generalized Pfaffian term. Correlators of Ne electrons in the presence of quasi-hole excitations are explicitly given for m=2.

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G. Cristofano, G. Maiella, V. Marotta. 2000-03-28. A conformal field theory description of the paired and parafermionic states in the quantum Hall effect. https://doi.org/10.1142/s021773230000219x

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