Magnetism on a Boron-doped Si(111)- $$\sqrt 3 \times \sqrt 3 $$ 3 × 3 Surface

Interpolatory sqrt(3)-Subdivision

We present a new interpolatory subdivision scheme for triangle meshes. Instead of splitting each edge and performing a 1-to-4 split for every triangle we compute a new vertex for every triangle and retriangulate the old and the new vertices. Using this refinement operator the number of triangles only triples in each step. New vertices are computed with a Butterfly like scheme. In order to obtai...

Composite Primal/Dual Sqrt(3)-Subdivision Schemes

We present new families of primal and dual subdivision schemes for triangle meshes and √ 3-refinement. The proposed schemes use two simple local rules which cycle between primal and dual meshes a number of times. The resulting surfaces become very smooth at regular vertices if the number of cycles is≥ 2. The C-property is violated only at low-valence irregular vertices, and can be restored by s...

Dyadic and \sqrt 3 - subdivision for Uniform Powell-Sabin Splines

We give two different possibilities for subdivision of Powell–Sabin spline surfaces on uniform triangulations. In the first case, dyadic subdivision, a new vertex is introduced on each edge between two old vertices. In the second case, p 3–subdivision, a new vertex is introduced in the center of each triangle of the triangulation. We give subdivision rules to find the new control points of the ...

Origin of Interface Magnetism in BiMnO 3 / SrTiO 3 and LaAlO 3 / SrTiO 3

Possible ferromagnetism induced in otherwise nonmagnetic materials has been motivating intense research in complex oxide heterostructures. Here we show that a confined magnetism is realized at the interface between SrTiO3 and two insulating polar oxides, BiMnO3 and LaAlO3. By using polarization dependent x-ray absorption spectroscopy, we find that in both cases the magnetism can be stabilized b...

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