Universal relation between longitudinal and transverse conductivities in quantum Hall effect

Preprint

17 August 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9408043

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.

Keywords

TRANSVERSE CONDUCTIVITIES
CRITICAL TRANSITION
UNIVERSAL RELATION
FRACTIONAL QUANTUM
QUANTUM HALL
LONGITUDINAL
HALL EFFECT
TRANSPORT

All Related Versions

Version 1, 1994-08-17, ArXiv
Published version: Physical Review Letters, 74 (1), 154.

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