ac Hopping Conduction at Extreme Disorder Takes Place on the Percolating Cluster

作者: Thomas B. Schrøder , Jeppe C. Dyre

DOI: 10.1103/PHYSREVLETT.101.025901

关键词:

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

参考文章(48)
O Bleibaum, H B ttger, V V Bryksin, Random-resistor network description for hopping transport in the presence of Hubbard interaction Journal of Physics: Condensed Matter. ,vol. 15, pp. 1719- 1731 ,(2003) , 10.1088/0953-8984/15/10/319
S. Alexander, R. Orbach, Density of states on fractals : « fractons » Journal de Physique Lettres. ,vol. 43, pp. 625- 631 ,(1982) , 10.1051/JPHYSLET:019820043017062500
Thomas B. Schrøder, Jeppe C. Dyre, Scaling and universality of ac conduction in disordered solids Physical Review Letters. ,vol. 84, pp. 310- 313 ,(2000) , 10.1103/PHYSREVLETT.84.310
Jeppe C. Dyre, The random free‐energy barrier model for ac conduction in disordered solids Journal of Applied Physics. ,vol. 64, pp. 2456- 2468 ,(1988) , 10.1063/1.341681
A. N. Cormack, J. Du, T. R. Zeitler, Alkali ion migration mechanisms in silicate glasses probed by molecular dynamics simulations Physical Chemistry Chemical Physics. ,vol. 4, pp. 3193- 3197 ,(2002) , 10.1039/B201721K
Heiko Lammert, Magnus Kunow, Andreas Heuer, Complete identification of alkali sites in ion conducting lithium silicate glasses: a computer study of ion dynamics. Physical Review Letters. ,vol. 90, pp. 215901- ,(2003) , 10.1103/PHYSREVLETT.90.215901
Jeppe C. Dyre, Studies of ac hopping conduction at low temperatures. Physical Review B. ,vol. 49, pp. 11709- 11720 ,(1994) , 10.1103/PHYSREVB.49.11709
Stéphane Tyč, B. I. Halperin, Random resistor network with an exponentially wide distribution of bond conductances. Physical Review B. ,vol. 39, pp. 877- 880 ,(1989) , 10.1103/PHYSREVB.39.877
A.E. Owen, The electrical properties of glasses Journal of Non-crystalline Solids. ,vol. 25, pp. 370- 423 ,(1977) , 10.1016/0022-3093(77)90099-0