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 …

The spin ice compounds Dy2Ti2O7 and Ho2Ti2O7 are highly unusual magnets that
epitomize a set of concepts of great interest in modern condensed matter physics: Their low …

This review is a study of how the idea of spin ice has evolved over the years, with a focus on
the scientific questions that have come to define the subject. Since our initial discovery of …

The “Coulomb phase” is an emergent state for lattice models (particularly highly frustrated
antiferromagnets), which have local constraints that can be mapped to a divergence-free …

Complex behavior poses challenges in extracting models from experiment. An example is
spin liquid formation in frustrated magnets like Dy2Ti2O7. Understanding has been hindered …

The effective quantum pseudospin-1/2 model for interacting rare-earth magnetic moments,
which are locally described with atomic doublets, is studied theoretically for magnetic …

The recent discovery of 'magnetricity'in spin ice raises the question of whether long-lived
currents of magnetic 'monopoles' can be created and manipulated by applying magnetic …

One of the most remarkable examples of emergent quasi-particles is that of
the'fractionalization'of magnetic dipoles in the low energy configurations of materials known …

Quantum melting of spin ice is proposed for pyrochlore-lattice magnets Pr 2 TM 2 O 7 (TM=
Ir, Zr, and Sn). The quantum superexchange Hamiltonian having a nontrivial magnetic …

Abstract Systems of interacting nanomagnets known as artificial spin ice,,–have allowed the
design, realization and study of geometrically frustrated exotic collective states,,,,–that are …