126 citations · 209 across the 10 of their papers we have counts for
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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…
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…
Pseudogaps and magnetic properties of the two-dimensional t-J model
A. Sherman, M. Schreiber
We apply the modified spin-wave theory with the constraint of zero staggered magnetization to investigate normal-state spectral and magnetic properties of the 2D t-J model in the p…
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…