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Cluster approximation in the theory of the AC hopping conductivity in disordered systems. I. One-dimensional systems
| Content Provider | Scilit |
|---|---|
| Author | Bottger, H. Bryksin, V. V. Yashin, G. Yu |
| Copyright Year | 1979 |
| Description | Journal: Journal of Physics C: Solid State Physics A theory is developed for the low-frequency AC hopping conductivity in disordered systems which accounts for multiple hops. The ideas of percolation theory are used to reduce the problem to a study of sigma ( omega ) (the frequency-dependent conductivity) in a cluster model. It is found that the size of the clusters increases with decreasing frequency and that sigma ( omega ) approximately omega$ ^{s}$,s<1. An expression is obtained for the exponents. At low temperatures sigma depends weakly on temperature, but at higher temperatures it exhibits activated behaviour. Results are obtained for a one-dimensional system and compared with numerical results given in the literature. |
| Related Links | http://iopscience.iop.org/article/10.1088/0022-3719/12/14/016/pdf |
| Ending Page | 2808 |
| Page Count | 12 |
| Starting Page | 2797 |
| ISSN | 00223719 |
| DOI | 10.1088/0022-3719/12/14/016 |
| Journal | Journal of Physics C: Solid State Physics |
| Issue Number | 14 |
| Volume Number | 12 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1979-07-28 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics C: Solid State Physics Condensed Matter Physics Low Frequency Percolation Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Condensed Matter Physics Engineering |
