Universal relation between longitudinal and transverse conductivities in quantum Hall effect
Condensed Matter
2009-10-22 v1
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
Cite
@article{arxiv.cond-mat/9408043,
title = {Universal relation between longitudinal and transverse conductivities in quantum Hall effect},
author = {Igor Ruzin and Shechao Feng},
journal= {arXiv preprint arXiv:cond-mat/9408043},
year = {2009}
}
Comments
REVTEX 3.0, 1 figure, 4 pages. SISSA-081794