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Here, we show that the electronic properties of a surface-supported2-dimensional (2D) layer structure can be self-texturized at the nanoscale. Thelocal electronic properties are determined by structural relaxation processesthrough variable adsorption stacking configurations. We demonstrate that thespatially modulated layer-buckling, which arises from the lattice mismatch andthe layer/substrate coupling at the GdAu2/Au(111) interface, is sufficient tolocally open an energy gap of ~0.5eV at the Fermi level in an otherwisemetallic layer. Additionally, this out-of-plane displacement of the Gd atomspatterns the character of the hybridized Gd-d states and shifts the center ofmass of the Gd 4f multiplet proportionally to the lattice distortion. Thesefindings demonstrate the close correlation between the electronic properties ofthe 2D-layer and its planarity. We demonstrate that the resulting templateshows different chemical reactivity which may find important applications.

Self- texturizing electronic-properties in a 2-dimensional GdAu2 layer on Au(111): the role of out-of-plane atomic displacement