| Автор | R D S Yadava |
| Дата выпуска | 1989-10-02 |
| dc.description | It is argued that the capacitance of a fractal metallic cluster scales with its size as C approximately r<sup>c</sup>, where 0<c<1 is a new charging exponent. A new dimension d<sub>c</sub> is defined to characterise the electrostatically unshielded surface of the cluster. In effect, c=2-d+d<sub>c</sub> is obtained, where d is Euclidean dimension. Based upon this, and using cluster-size distribution from percolation theory, it is shown that the temperature dependence of the variable-range-hopping conductivity of discontinuous metal films is given by ln sigma <sup>varies as </sup>-1/T<sup>x</sup> with x=1/(1+c). The value of x is predicted to lie in the range <sup>1</sup>/<sub>2</sub>-1, in close agreement with experiments. It is suggested that the cermet conductivities, which have x=<sup>1</sup>/<sub>2</sub>, can also be explained within the framework of the present arguments. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Electrostatic charging of a fractal cluster and variable-range hopping in thin discontinuous metal films |
| Тип | lett |
| DOI | 10.1088/0953-8984/1/39/032 |
| Electronic ISSN | 1361-648X |
| Print ISSN | 0953-8984 |
| Журнал | Journal of Physics: Condensed Matter |
| Том | 1 |
| Первая страница | 7245 |
| Последняя страница | 7249 |
| Аффилиация | R D S Yadava; Solid State Phys. Lab., Delhi, India |
| Выпуск | 39 |
