Metal-Insulator Transition in 2D: Experimental Test of the Two-Parameter Scaling

TL;DR

This paper presents an experimental scaling analysis of resistivity in high-mobility 2D electron systems near the metal-insulator transition, identifying critical parameters and reconstructing a universal scaling function.

Contribution

It provides a comprehensive experimental validation of two-parameter scaling theory for the 2D metal-insulator transition, including critical indices and a universal scaling surface.

Findings

Determined critical electron density and indices for the transition.

Reconstructed an empirical two-parameter scaling function.

Validated the self-consistent scaling approach with experimental data.

Abstract

We report a detailed scaling analysis of resistivity \rho(T,n) measured for several high-mobility 2D electron systems in the vicinity of the 2D metal-insulator transition. We analyzed the data using the two parameter scaling approach and general scaling ideas. This enables us to determine the critical electron density, two critical indices, and temperature dependence for the separatrix in the self-consistent manner. In addition, we reconstruct the empirical scaling function describing a two-parameter surface which fits well the \rho(T,n) data.