On the origin of duality in the quantum Hall system

C. A. Lütken; G. G. Ross

doi:10.1016/j.physleta.2010.09.043

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arXiv · 1008.5128

On the origin of duality in the quantum Hall system

C. A. Lütken·G. G. Ross

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Abstract

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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C. A. Lütken, G. G. Ross. 2010-08-30. On the origin of duality in the quantum Hall system. https://doi.org/10.1016/j.physleta.2010.09.043

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