Universal Direct Proportionality: A New Analysis of Quantum Hall Effect

Abstract

We address the researchers studying the magneto-transport properties of unconventional systems such as bulk samples and new materials or those working in the soft quantum limit. We have developed a procedure for the analysis of experimental data, so as to increase the confidence level about the presence of quantum hall effect in these data. It is shown that irrespective of temperature, sample material and sign of the charge carriers, for both integer and fractional QHE's, an universal direct proportionality exists in the dimensionless variables B and R (defined in the text). This procedure does not preassign, Landau level filling factor (f) but determines both f and carrier density in a statistically significant manner. We also find a natural definition of the soft limit regime. Results of the analyses of several sets of literature and synthetic data are reported.