@article{oai:nagoya.repo.nii.ac.jp:00018453,
 author = {Sato, Masahide and Uwaha, Makio and Hibino, Hiroki},
 journal = {Physical Review B},
 month = {Jul},
 note = {By means of Monte Carlo simulation with a square lattice model, we study pattern formation of a step induced by a moving linear source of adatoms. Incorporation of adatoms, which are released from a linear source in front of the straight step, causes wandering instability of the step during growth. In contrast to the usual wandering pattern, a treelike step follows the source so that a steadily growing state is realized. Branching occurs frequently in growth toward the [01] direction, while branching is suppressed in growth toward the [11] direction. The characteristic wavelength (period of branches) λ of the pattern is determined by velocity Vp of the linear source and step stiffness β^~ as λ～√ΓlD (lD=Ds/Vp, the diffusion length defined by diffusion coefficient Ds and Vp; Γ, the capillary length proportional to β^~).A comblike step pattern is formed in the [11] growth. The pattern is similar to that observed on a Si(111) surface under Ga deposition. If source velocity Vp is increased, characteristic length λ becomes shorter to follow the source. With Vp above a critical velocity, the step grows at the critical velocity independent of Vp and shows a fractal-like pattern. The critical velocity is related to the fractal dimension of the diffusion-limited aggregation. Similarity of the comblike pattern to a finger pattern observed in graphene growth is also discussed.},
 pages = {045420--045420},
 title = {Pattern formation of a step induced by a moving linear source},
 volume = {84},
 year = {2011}
}