A generalized Frenkel-Kontorova model of the Ga/Si(112) dimerized overlayer system with vacanciesProject supported by the National Natural Science Foundation of China (Grant No. 19774049), and the Science Foundation of China Academy of Engineering Physics (Grant Nos. 970116 and 980112).

We develop a Frenkel-Kontorova model to analyze the microscopic origins of vacancy-line interactions in a pseudomorphic adsorbate system. The atomic positions in the ground states are obtained by use of the gradient method. Our numerical results can explain the 2×N reconstruction observed in Ga/Si(112).