Self-assembled Ag(111) nanostructures induced by Fermi surface nesting.pdf

Scanning tunneling microscopy measurements on Ag(111)/$\mathrm{Mo}{\mathrm{S}}_{2}$ reveal atomically flat preferred, or ``magic,'' heights occurring at 6, 10, and 14 atomic layers. These results are consistent with Ag growth on a variety of semiconducting substrates and correlate with electronic energy savings in electronic structure calculations of freestanding Ag(111) films. Thus, under certain conditions, Ag will spontaneously form quantized structures independent of the substrate. To explain this, we have found Fermi surface nesting vectors in the bulk Ag band structure which account for these results and the fact Ag that is gapped along the surface normal. This model extends to a range of metallic systems which exhibit electronic confinement, epitaxial growth, and minimal strain. As with $\mathrm{Au}\text{/}\mathrm{Mo}{\mathrm{S}}_{2}$, the Ag/$\mathrm{Mo}{\mathrm{S}}_{2}$ system exhibits this behavior at unusually high temperatures so that these principles might be used for control over device features at the nanometer scale under standard fabrication conditions.