On the origin of duality in the quantum Hall system

Details On the origin of duality in the quantum Hall system On the origin of duality in the quantum Hall system

2010-08-30

arxiv.org/abs/1008.5128v2

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures

Scientific paper

We discuss the possible origin of the duality observed in the quantum Hall current-voltage characteristics. We clarify the difference between "particle-vortex" (complex modular) duality, which acts on the full transport tensor, and "charge-flux" ("real") duality, which acts directly on the filling factor. Comparison with experiment strongly favors the form of duality which descends from the modular symmetry group acting holomorphically on the compexified conductivity.

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