Quantum interference and the giant Hall effect in percolating systems

Abstract

We show that in metallic percolating networks the wave nature of the charge carriers can significantly modify the classical picture of the Hall effect, especially in the metal concentration range $x\ensuremath{\approx}{x}_{q},$ where x denotes the metal volume, and ${x}_{q}$ the quantum-percolation threshold. Calculations based on the model of local quantum interference effect are shown to give a consistent and quantitative account of the recent experimental findings on the (ordinary) giant Hall effect.