MULTICOMPONENT PERCOLATION CRITERION AND ITS APPLICATION TO HOPPING IN DISORDERED CONDUCTORS

An approximate percolation criterion for the multicomponent problem (when a condition of connectedness depends on the colors of sites) is proposed and its relation to mean-field theory is established. Its accuracy is discussed for several colored random-site- and lattice-percolation models. An application to hopping allows for an approximate solution of various problems: e.g., the hopping conductivity in the range intermediate between the nearest-neighbor hopping and the variable-range hopping regimes can be found for arbitrary shape of the density of states. © 1995 The American Physical Society.