Effective one-dimensionality of AC hopping conduction in the extreme disorder limit

Abstract

It is argued that in the limit of extreme disorder AC hopping is dominated by "percolation paths". Modelling a percolation path as a one-dimensional path with a sharp jump rate cut-off leads to an expression for the universal AC conductivity, that fits computer simulations in two and three dimensions better than the effective medium approximation.

6 postscript figures

References in corpus (1)

• Hyperfine Populations Prior to Muon Capture

Cited by in corpus (2)

• Fundamental questions relating to ion conduction in disordered solids
• Single Particle Jumps in a Binary Lennard-Jones System Below The Glass Transition