While the (classical) ground state structure of an atomic monolayer adsorbe
d at a smooth substrate with negligible corrugation potential is trivial, n
amely, a triangular lattice with a spacing given by the minimum of the inte
ratomic (Lennard-Jones) potential, nontrivial ground state structures occur
on corrugated substrate surfaces. Assuming as a substrate surface the (100
) plane of a face-centered cubic crystal, the possible (classical) ground s
tate structures of the monolayer are studied by Monte Carlo simulation, var
ying both the density of the adsorbed film and the strength of the potentia
l due to the surface. Different incommensurate structures are found, which
can be interpreted as (two-dimensional) patterns of domain walls separating
commensurate regions. Typically the heavy walls are oriented along the fac
e diagonals of the square substrate lattice. This nonuniform order also is
reflected in the distribution of distances of the adsorbed atoms from the s
ubstrate surface plane, which is not a delta function but may even display
a bimodal character. (C) 2001 American Institute of Physics.