We have determined the stiffness and free energy of <110> and <010> oriented steps on a (001) surface of a cubic lattice within the framework of a solid-on-solid model having nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. The stiffness of <110> oriented steps depends on both the strength of the NN and NNN interactions, whereas the stiffness of the <010> oriented steps only depends on the NNN interaction. For a vanishing NNN interaction the dimensionless inverse stiffness of the <010> oriented steps reduces to the universal value of 1/[square root of 2] as obtained by the Ising model. As an example we apply this solid-on-solid model to the well-studied Cu(001) surface.
|Number of pages||3|
|Journal||Physical Review B (Condensed Matter and Materials Physics)|
|Publication status||Published - 2003|
Zandvliet, H. J. W., van Moere, R., & Poelsema, B. (2003). Free energy and stiffness of and steps on a (001) surface of a cubic lattrice: Revival of the solid-on-solid model. Physical Review B (Condensed Matter and Materials Physics), 68(7), 073404-1-073404-3. https://doi.org/10.1103/PhysRevB.68.073404