A conformal field theory approach to persistent currents in fractional quantum Hall states

by Georgiev, Lachezar

Abstract

Using the large scale effective conformal field theory for the edge states we describe a general scheme for computation of the periods, amplitudes and temperature behaviour of the chiral persistent currents in the fractional quantum Hall states. As an example we apply this procedure to the $\Z_k$ parafermion Hall states in the second Landau level and show that they have universal non-Fermi liquid behaviour without anomalous oscillations. We emphasize the crucial role of the non-holomorphic factors in the CFT partition function, first proposed by Cappelli and Zemba, which ensure the invariance of the annulus partition function under the Laughlin spectral flow.

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