33 citations · 129 across the 12 of their papers we have counts for
5 papers · 1 filter
Aperiodicity and Disorder - Does it Matter?
Uwe Grimm
The effects of an aperiodic order or a random disorder on phase transitions in statistical mechanics are discussed. A heuristic relevance criterion based on scaling arguments as we…
Planar quasiperiodic Ising models
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We investigate zero-field Ising models on periodic approximants of planar quasiperiodic tilings by means of partition function zeros and high-temperature expansions. These are obta…
Lee-Yang zeros for substitutional systems
Harald Simon, Michael Baake, Uwe Grimm
Qualitative and quantitative information about critical phenomena is provided by the distribution of zeros of the partition function in the complex plane. We apply this idea to Isi…
Ising spins on the labyrinth
Uwe Grimm, Michael Baake, Harald Simon
We consider a zero-field Ising model defined on a quasiperiodic graph, the so-called Labyrinth tiling. Exact information about the critical behaviour is obtained from duality argum…
High-temperature expansion for Ising models on quasiperiodic tilings
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We consider high-temperature expansions for the free energy of zero-field Ising models on planar quasiperiodic graphs. For the Penrose and the octagonal Ammann-Beenker tiling, we c…