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Conformal field theory description of mesoscopic phenomena in the fractional quantum Hall effect

2006/01/12 by Lachezar S. Georgiev, Georgiev, Lachezar S.
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0601075

10 pages, 2 figures, contribution to proceedings of the Fourth International Symposium "Quantum Theory and Symmetries", August 2005, Varna, Bulgaria

arxiv created 2006/01/12 · arxiv updated 2009/12/01

Abstract

We give a universal description of the mesoscopic effects occurring in fractional quantum Hall disks due to the Aharonov-Bohm flux threading the system. The analysis is based on the exact treatment of the flux within the conformal field theory framework and is relevant for all fractional quantum Hall states whose edge states CFTs are known. As an example we apply this scheme for the parafermion Hall states and extract the main characteristics of the low- and high- temperature asymptotic behavior of the persistent currents.

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