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Universal relation between longitudinal and transverse conductivities in quantum Hall effect

Igor Ruzin·Shechao Feng
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Abstract

We show that any critical transition region between two adjacent Hall plateaus in either integer or fractional quantum Hall effect is characterized by a universal semi-circle relationship between the longitudinal and transverse conductivities, provided the sample is homogeneous and isotropic on a large scale. This conclusion is demonstrated both for the phase-coherent quantum transport as well as for the incoherent transport.

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Igor Ruzin, Shechao Feng. 1994-08-17. Universal relation between longitudinal and transverse conductivities in quantum Hall effect. https://doi.org/10.1103/physrevlett.74.154

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