From the zero-field metal-insulator transition in two dimensions to the quantum Hall transition: a percolation-effective-medium theory

Abstract

Effective-medium theory is applied to the percolation description of the metal-insulator transition in two dimensions with emphasis on the continuous connection between the zero-magnetic-field transition and the quantum Hall transition. In this model the system consists of puddles connected via saddle points, and there is loss of quantum coherence inside the puddles. The effective conductance of the network is calculated using appropriate integration over the distribution of conductances, leading to a determination of the magnetic field dependence of the critical density. Excellent quantitative agreement is obtained with the experimental data, which allows an estimate of the puddle physical parameters.

References in corpus (3)

• Percolation-type description of the metal-insulator transition in two dimensions
• Phase diagram of the integer quantum Hall effect in p-type Germanium
• Two-species percolation and Scaling theory of the metal-insulator transition in two dimensions

Cited by in corpus (7)

• Universal Intermediate Phases of Dilute Electronic and Molecular Glasses
• Two-dimensional metal-insulator-transition as a potential fluctuation driven semiclassical transport phenomenon
• Critical behaviour of thermopower and conductivity at the metal-insulator transition in high-mobility Si-MOSFETs
• Magnetotransport in disordered delta-doped heterostructures
• Transport in two-dimensional disordered semimetals
• 1/f noise in a dilute GaAs two-dimensional hole system in the insulating phase
• Luttinger liquid behavior in tunneling through a quantum dot at zero magnetic field