The spin ice materials, including Ho 2 Ti 2 O 7 and Dy 2 Ti 2 O 7, are rare-earth pyrochlore
magnets which, at low temperatures, enter a constrained paramagnetic state with an …

Within the past 20 years or so, there has occurred an explosion of interest in the magnetic
behavior of pyrochlore oxides of the type A 2 3+ B 2 4+ O 7, where A is a rare-earth ion and …

Condensed matter physics (CMP) seeks to understand the microscopic interactions of matter
at the quantum and atomistic levels, and describes how these interactions result in both …

Geometrical frustration endows magnets with degenerate ground states, resulting in exotic
spin structures and quantum phenomena. Such magnets, called quantum magnets, can …

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 …

The “spin-ice” state found in the rare-earth pyrochlore magnets Ho 2 Ti 2 O 7 and Dy 2 Ti 2 O
7 offers a beautiful realization of classical magnetostatics, complete with magnetic monopole …

Recently, significant interest has emerged in fabricated systems that mimic the behavior of
geometrically frustrated materials. We present the full realization of such an artificial spin ice …

We consider possible exotic ground states of quantum spin ice as realized in rare earth
pyrochlores. Prior work [Savary and Balents, Phys. Rev. Lett. 108, 037202 (2012). PRLTAO …

We review a key subset of the experimental studies that have recently focused on cubic
pyrochlore magnets whose pseudospin-1 2 degrees of freedom have mixed dipolar and …

The Coulomb phase, with its dipolar correlations and pinch-point–scattering patterns, is
central to discussions of geometrically frustrated systems, from water ice to binary and mixed …