Site Percolation Thresholds of FCC Lattice |
| T.R. Gawron Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warszawa, Poland Marek Cieplak Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 00-668 Warszawa, Poland |
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| Percolation thresholds, pc, for site diluted spin systems on the fcc lattice are determined for exchange interactions extending up to the shell of the fourth nearest neighbors. If the interactions include the nearest, second, third, and fourth neighbors, pc is equal to 0.198, 0.136, 0.061, and 0.05 respectively. These results agree with the Roberts approximate formula for pc. Estimation of pc to even longer-ranged couplings is presented. For instance for pc = 0.01 the range of the couplings should extend at least to the eight shell of neighbors. |
| DOI: 10.12693/APhysPolA.80.461 PACS numbers: 75.40.Mg, 75.50.Pp |