Site Percolation Thresholds of FCC Lattice

• Authors: T. Gawron , Marek Cieplak
• Languages of publication: EN

Abstracts

EN

Percolation thresholds, p_{c}, 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, p_{c} is equal to 0.198, 0.136, 0.061, and 0.05 respectively. These results agree with the Roberts approximate formula for p_{c}. Estimation of p_{c} to even longer-ranged couplings is presented. For instance for p_{c} = 0.01 the range of the couplings should extend at least to the eight shell of neighbors.

Keywords

EN

75.40.Mg; 75.50.Pp

Discipline

• 75.40.Mg: Numerical simulation studies
• 75.50.Pp: Magnetic semiconductors

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1991
• Volume: 80
• Issue: 3
• Pages: 461-464

Dates

published

1991-09

Contributors

author

T. Gawron

• Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warszawa, Poland

author

Marek Cieplak

• Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 00-668 Warszawa, Poland

Identifiers

DOI

10.12693/APhysPolA.80.461