Hopping transport in systems of finite thickness or length

Details Hopping transport in systems of finite thickness or length Hopping transport in systems of finite thickness or length

2011-07-18

arxiv.org/abs/1107.3527v2

Phys. Rev. B 84, 125447 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 8 figures

Scientific paper

10.1103/PhysRevB.84.125447

Variable-range hopping transport along short one-dimensional wires and across the shortest dimension of thin three-dimensional films and narrow two-dimensional ribbons is studied theoretically. Geometric and transport characteristics of the hopping resistor network are shown to depend on temperature T and the dimensionality of the system. In two and three dimensions the usual Mott law applies at high T where the correlation length of the network is smaller than the sample thickness. As T decreases, the network breaks into sparse filamentary paths, while the Mott law changes to a different T-dependence, which is derived using the percolation theory methods. In one dimension, deviations from the Mott law are known to exist at all temperatures because of rare fluctuations. The evolution of such fluctuations from highly-resistive "breaks" at high T to highly-conducting "shorts" at low T is elucidated.

Affiliated with

Also associated with

No associations

Rating

Hopping transport in systems of finite thickness or length does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hopping transport in systems of finite thickness or length, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopping transport in systems of finite thickness or length will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272453