English

Ac hopping conduction at extreme disorder takes place on the percolating cluster

Disordered Systems and Neural Networks 2016-08-14 v4

Abstract

Simulations of the random barrier model show that ac currents at extreme disorder are carried almost entirely by the percolating cluster slightly above threshold; thus contradicting traditional theories contributions from isolated low-activation-energy clusters are negligible. The effective medium approximation in conjunction with the Alexander-Orbach conjecture leads to an excellent analytical fit to the universal ac conductivity with no nontrivial fitting parameters.

Keywords

Cite

@article{arxiv.0801.0531,
  title  = {Ac hopping conduction at extreme disorder takes place on the percolating cluster},
  author = {Thomas B. Schrøder and Jeppe C. Dyre},
  journal= {arXiv preprint arXiv:0801.0531},
  year   = {2016}
}