Abstract

We report on the growth of Pb thin films deposited either on the Al-rich fivefold surface of the icosahedral Al-Cu-Fe quasicrystal or on the (111) surface of fcc Al. On the quasicrystalline substrate, the diffusion length of Pb adatoms is short due to heterogeneous nucleation that enforces a quasiperiodic structure in the monolayer. On the Al(111) substrate, the mobility of Pb adatoms is high and the interaction with the substrate is flatter, leading to the formation of a $(\ensuremath{\surd}31\ifmmode\times\else\texttimes\fi{}\ensuremath{\surd}31)R8.95\ifmmode^\circ\else\textdegree\fi{}$ higher-order commensurate structure. This moir\'e structure propagates up to the highest coverages investigated.

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