22 citations · 31 across the 3 of their papers we have counts for
3 papers
cond-mat.str-el2023★ 6 cited
Exact Solution to the Quantum and Classical Dimer Models on the Spectre Aperiodic Monotiling
Shobhna Singh, Felix Flicker
The decades-long search for a shape that tiles the plane only aperiodically under translations and rotations recently ended with the discovery of the `spectre' aperiodic monotile.…
cond-mat.stat-mech2023★ 3 cited
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…
cond-mat.mes-hall2022★ 22 cited
Exploring the phases of 3D artificial spin ice: From Coulomb phase to magnetic monopole crystal
M. Saccone, A. Van den Berg, E. Harding +4
Artificial spin-ices consist of lithographic arrays of single-domain magnetic nanowires organised into frustrated lattices. These geometries are usually two-dimensional, allowing a…