Magnetic skyrmions are topologically stable nanoscale particlelike objects that were
discovered in 2009. Since that time, intense research interest in the field has led to the …

Magnetically-guided colloidal assembly has proven to be a versatile method for building
hierarchical particle assemblies. This review describes the dipolar interactions that govern …

Artificial spin ices are frustrated spin systems that can be engineered, in which fine tuning of
geometry and topology has allowed the design and characterization of exotic emergent …

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 …

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

Geometric frustration emerges when local interaction energies in an ordered lattice structure
cannot be simultaneously minimized, resulting in a large number of degenerate states. The …

Artificial frustrated systems offer a playground to study the emergent properties of interacting
systems. Most work to date has been on spatially periodic systems, known as artificial spin …

Magnetic dipole-dipole interactions govern the behavior of magnetic matter across scales
from micrometer colloidal particles to centimeter magnetic soft robots. This pairwise long …

We numerically model a two-dimensional active nematic confined by a periodic array of
fixed obstacles. Even in the passive nematic, the appearance of topological defects is …

The field of quantum materials has experienced rapid growth over the past decade, driven
by exciting new discoveries with immense transformative potential. Traditional synthetic …