33 citations · 129 across the 12 of their papers we have counts for
4 papers · 1 filter
Energy Levels of Quasiperiodic Hamiltonians, Spectral Unfolding, and Random Matrix Theory
Michael Schreiber, Uwe Grimm, Rudolf A. Roemer +1
We consider a tight-binding Hamiltonian defined on the quasiperiodic Ammann-Beenker tiling. Although the density of states (DOS) is rather spiky, the integrated DOS is quite smooth…
The Entropy of Square-Free Words
Michael Baake, Veit Elser, Uwe Grimm
Finite alphabets of at least three letters permit the construction of square-free words of infinite length. We show that the entropy density is strictly positive and derive reasona…
Magnetotransport in Quasilattices
Uwe Grimm, Florian Gagel, Michael Schreiber
The dc conductance and the Hall voltage of planar arrays of interconnected quantum wires are calculated numerically. Our systems are derived from finite patches of aperiodic graphs…
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…