We consider two-species random sequential adsorption (RSA) in which species A
and B adsorb randomly on a lattice with the restriction that opposite species
cannot occupy nearest-neighbor sites. When the probability xA​ of choosing an
A particle for an adsorption trial reaches a critical value 0.626441(1), the
A species percolates and/or the blocked sites X (those with at least one A and
one B nearest neighbor) percolate. Analysis of the size-distribution exponent
Ï„, the wrapping probabilities, and the excess cluster number shows that
the percolation transition is consistent with that of ordinary percolation. We
obtain an exact result for the low xB​=1−xA​ jamming behavior: θA​=1−xB​+b2​xB2​+O(xB3​), θB​=xB​/(z+1)+O(xB2​) for a z-coordinated lattice, where θA​
and θB​ are respectively the saturation coverages of species A and B. We
also show how differences between wrapping probabilities of A and X clusters,
as well as differences in the number of A and X clusters, can be used to find
the transition point accurately. For the one-dimensional case a three-site
approximation appears to provide exact results for the coverages