Frustration, the presence of competing interactions, is ubiquitous in the physical sciences
and is a source of degeneracy and disorder, which in turn gives rise to new and interesting …

Lithographic processing and film growth technologies are continuing to advance, so that it is
now possible to create patterned ferroic materials consisting of arrays of sub-1 μm elements …

Recent advances in nanotechnology allow model systems to be constructed, in which
frustrated interactions can be tuned at will, such as artificial spin ice. The symmetry of the …

Over the past few years, the study of magnetization dynamics in artificial spin ices has
become a vibrant field of study. Artificial spin ices are ensembles of geometrically arranged …

The extension of artificial spin systems to the third dimension offers advances in
functionalities and opportunities for technological applications. One of the main challenges …

Quasiparticle properties of quantum magnets with long-range interactions are investigated
by high-order linked-cluster expansions in the thermodynamic limit. It is established that …

We study the critical breakdown of two-dimensional quantum magnets in the presence of
algebraically decaying long-range interactions by investigating the transverse-field Ising …

Although initially introduced to mimic the spin-ice pyrochlores, no artificial spin ice has yet
exhibited the expected degenerate ice phase with critical correlations similar to the …

We have studied frustrated kagome arrays and unfrustrated honeycomb arrays of
magnetostatically interacting single-domain ferromagnetic islands with magnetization …

Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the
classical J 1-J 2-J 3 Ising antiferromagnet on the kagome lattice. We establish the ground …