69 citations · 112 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2021★ 11 cited
The GOE ensemble for quasiperiodic tilings without unfolding: -value statistics
Uwe Grimm, Rudolf A. Römer
We study the level-spacing statistics for non-interacting Hamiltonians defined on the two-dimensional quasiperiodic Ammann--Beenker (AB) tiling. When applying the numerical procedu…
cond-mat.dis-nn2004★ 69 cited
Noncollinear magnetic order in quasicrystals
E. Y. Vedmedenko, U. Grimm, R. Wiesendanger
Based on Monte-Carlo simulations, the stable magnetization configurations of an antiferromagnet on a quasiperiodic tiling are derived theoretically. The exchange coupling is assume…
hep-th2001★ 32 cited
Spectrum of a duality-twisted Ising quantum chain
Uwe Grimm
The Ising quantum chain with a peculiar twisted boundary condition is considered. This boundary condition, first introduced in the framework of the spin-1/2 XXZ Heisenberg quantum…