Artificial spin ices consist of nanomagnets arranged on the sites of various periodic and
aperiodic lattices. They have enabled the experimental investigation of a variety of …

In this topical review, we present key results of studies on magnetization dynamics in
artificial spin ice (ASI), which are arrays of magnetically interacting nanostructures. Recent …

Artificial spin-ice systems are lithographically patterned arrangements of interacting
magnetic nanostructures that were introduced as way of investigating the effects of …

The modification of geometry and interactions in two-dimensional magnetic nanosystems
has enabled a range of studies addressing the magnetic order,,,,–, collective low-energy …

Artificial spin ice systems are lithographically prepared arrays of interacting nanoscale
magnetic moments with collective behavior resulting from the chosen array geometry. These …

Topological phases of spin liquids with constrained disorder can host a kinetics of
fractionalized excitations. However, spin-liquid phases with distinct kinetic regimes have …

Geometric frustration and the ice rule are two concepts that are intimately connected and
widespread across condensed matter. The first refers to the inability of a system to satisfy …

Spin glasses, generally defined as disordered systems with randomized competing
interactions,, are a widely investigated complex system. Theoretical models describing spin …

Two-dimensional arrays of interacting magnetic nanostructures offer a remarkable
playground for simulating, experimentally, lattice spin models. Initially designed to capture …

The Ising model—in which degrees of freedom (spins) are binary valued (up/down)—is a
cornerstone of statistical physics that shows rich behaviour when spins occupy a highly …