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

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

2006-01-12

arxiv.org/abs/hep-th/0601075v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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