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cond-mat1998
Exact Eigenstates of Tight-Binding Hamiltonians on the Penrose Tiling
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We investigate exact eigenstates of tight-binding models on the planar rhombic Penrose tiling. We consider a vertex model with hopping along the edges and the diagonals of the rhom…
cond-mat1996
Aperiodic Ising Models
Uwe Grimm, Michael Baake
We consider several aspects of non-periodic Ising models in one and two dimensions. Here we are not interested in random systems, but rather in models with intrinsic long-range ape…