C. Ramseyer et al., INTERPRETATION OF HIGH-ORDER COMMENSURATE PHASES FOR AN ARGON MONOLAYER ADSORBED ON PT(111), Physical review. B, Condensed matter, 49(4), 1994, pp. 2861-2868
Recent helium atom scattering experiments have shown that Ar monolayer
s form high-order commensurate (HOC) phases on Pt(111) substrate at lo
w temperature and that HOC-HOC transitions proceed as functions of cov
erage and temperature. This leads to the realization of a two-dimensio
nal devil's staircase. Potential calculations using effective pairwise
Pt-Ar and Ar-Ar interactions and substrate-mediated Ar-Ar/Pt contribu
tions are performed to determine the equilibrium geometries of the mon
olayer vs Ar coverage. The free energy calculated at finite temperatur
e (T less than or equal to 50 K) shows that five metastable hexagonal
HOC structures occur within the range 31 less than or equal to T less
than or equal to 46 K. When T increases in this range, the nonrotated
structures appear with increasing lattice parameters 3.71, 3.78, 3.82,
3.84, and 3.89 Angstrom. The most stable geometry is a (4 x 4) unit c
ell with 9 Ar atoms. Rotated phases exhibit the same behavior with, ho
wever, a slightly shifted temperature range and shifted values for the
lattice parameter. These results are in close agreement with the expe
rimental findings and they corroborate the devil's staircase event for
such a system.