We apply the effective-medium theory to a multi-component mixture system, by which the effective longitudinal and Hall conductivities can be calculated. We find that there is more than one threshold in the multi-component mixture, and the maximum number of thresholds is one less than the component number. Further, the thresholds are mainly dependent on the relative volume ratio of the components when the conductivity ratios between any two components are far larger or smaller than one.
We apply the effective-medium theory to a multi-component mixture system, by which the effective longitudinal and Hall conductivities can be calculated. We find that there is more than one threshold in the multi-component mixture, and the maximum number of thresholds is one less than the component number. Further, the thresholds are mainly dependent on the relative volume ratio of the components when the conductivity ratios between any two components are far larger or smaller than one.
[1] Isichenko M B 1992 Rev. Mod. Phys. 64 961 [2]Heussinger C, Schaefer B and Frey E 2007 Phys. Rev. E 76 031906 [3]Bai B, Svirko Y, Turunen J and Vallius T 2007 Phys.Rev. A 76 023811 [4]Hilton D J,Prasankumar R P, Fourmaux S, Cavalleri A,Brassard D, El Khakani M A, Kieffer J C, Taylor A J and Averitt R D2007 Phys. Rev. Lett. 99 226401. [5]Wang J G, Shao J D and Fan Z X 2005 Chin. Phys. Lett. 22 233 [6]Kim K H, Uehara M, Hess C, Sharma P A and Cheong S W 2000 Phys. Rev. Lett. 84 2961 [7]Bastea S 2007 Phys. Rev. E 75 031201 [8]Magier R and Bergman D J 2008 Phys. Rev. B 77144406 [9]Bergman D J and Stroud D G 2000 Phys. Rev. B 626603 [10]Wen F S, Qiao L, Yi H B, Zhou D and Li F S 2008 Chin. Phys. Lett. 25 751 [11]Wei E B and Gu G Q 2001 Chin. Phys. Lett. 18960 [12] Halley J W, Holcomb W K and Goetz K 1980 Phys. Rev.B 21 4840 [13]Johner N, Grimaldi C,Balberg I and Ryser P 2008 Phys.Rev. B 77 174204 [14]Cohen M H and Jortner J 1973 Phys. Rev. Lett. 30 696 [15]Landauer R 1952 J. Appl. Phys. 23 779