482 citations · 1.7k across the 43 of their papers we have counts for
4 papers · 1 filter
Hamiltonian Cycles on Ammann-Beenker Tilings
Shobhna Singh, Jerome Lloyd, Felix Flicker
We provide a simple algorithm for constructing Hamiltonian graph cycles (visiting every vertex exactly once) on a set of arbitrarily large finite subgraphs of aperiodic two-dimensi…
Compression theory for inhomogeneous systems
Doruk Efe Gökmen, Sounak Biswas, Sebastian D. Huber +3
The physics of complex systems stands to greatly benefit from the qualitative changes in data availability and advances in data-driven computational methods. Many of these systems…
Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings
Jerome Lloyd, Sounak Biswas, Steven H. Simon +2
We study classical dimers on two-dimensional quasiperiodic Ammann-Beenker (AB) tilings. Despite the lack of periodicity we prove that each infinite tiling admits 'perfect matchings…
Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
P. Henelius, T. Lin, M. Enjalran +6
Spin ices, frustrated magnetic materials analogous to common water ice, are exemplars of high frustration in three dimensions. Recent experimental studies of the low-temperature pr…