The temperature and volume fraction dependence of the resistivity of granular Al-Ge near the percolation threshold

作者: R Rosenbaum , A Albers , G Eytan , N Grammatica , G Hurvits

DOI: 10.1088/0953-8984/5/27/027

关键词:

摘要: Extensive measurements of the temperature and Al volume fraction dependence resistivity granular Al-Ge have been made near percolation threshold phi c. The results at 295 K are analysed using equations, as modified by Efros Shklovskii, Straley, for systems where two components finite conductivity ratios, fitting to general effective media (GEM) equation, which also takes into account conductivities both components. parameters these equations (resistivities) components, critical exponents s t, (percolation) experimental value c, obtained from magnetoresistivity below superconducting transition Al, agrees remarkably well with values GEM equations. observed found be high, width region surprisingly large. Attempts extend this type analysis lower temperatures proved unsuccessful, it is concluded that more insulating component, namely amorphous Al-doped Ge, depends on total content sample. It shown c cannot identified versus curves between 5 K, nor derivatives curves. Graphs Ge individual samples extracted equation.

参考文章(20)
A. L. Efros, B. I. Shklovskii, Critical Behaviour of Conductivity and Dielectric Constant near the Metal-Non-Metal Transition Threshold Physica Status Solidi B-basic Solid State Physics. ,vol. 76, pp. 475- 485 ,(1976) , 10.1002/PSSB.2220760205
C J Adkins, J M D Thomas, M W Young, Increased resistance below the superconducting transition in granular metals Journal of Physics C: Solid State Physics. ,vol. 13, pp. 3427- 3438 ,(1980) , 10.1088/0022-3719/13/18/010
Y. Lereah, G. Deutscher, E. Grünbaum, Formation of dense branching morphology in the crystallization of Al-Ge amorphous thin films. Physical Review A. ,vol. 44, pp. 8316- 8322 ,(1991) , 10.1103/PHYSREVA.44.8316
D S McLachlan, An equation for the conductivity of binary mixtures with anisotropic grain structures Journal of Physics C: Solid State Physics. ,vol. 20, pp. 865- 877 ,(1987) , 10.1088/0022-3719/20/7/004
David S. McLachlan, Michael Blaszkiewicz, Robert E. Newnham, Electrical Resistivity of Composites Journal of the American Ceramic Society. ,vol. 73, pp. 2187- 2203 ,(1990) , 10.1111/J.1151-2916.1990.TB07576.X
H White, D S McLachlan, Normalised conductance scaling functions for temperature-dependent systems Journal of Physics C: Solid State Physics. ,vol. 19, pp. 5415- 5422 ,(1986) , 10.1088/0022-3719/19/27/015
J P Straley, Critical phenomena in resistor networks Journal of Physics C: Solid State Physics. ,vol. 9, pp. 783- 795 ,(1976) , 10.1088/0022-3719/9/5/017
D.S. McLachlan, J.P. Burger, An analysis of the electrical conductivity of the two phase Pd Hx system Solid State Communications. ,vol. 65, pp. 159- 161 ,(1988) , 10.1016/0038-1098(88)90678-3
G. Deutscher, M. Rappaport, Z. Ovadyahu, Random perculation in metal-Ge mixtures Solid State Communications. ,vol. 28, pp. 593- 595 ,(1978) , 10.1016/0038-1098(78)90587-2
Y. Shapira, G. Deutscher, Semiconductor-superconductor transition in granular Al-Ge Physical Review B. ,vol. 27, pp. 4463- 4466 ,(1983) , 10.1103/PHYSREVB.27.4463