Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

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 …

In this review, we provide an introduction to the physics of a series of frustrated quantum rare-
earth pyrochlores. We first give a background on the microscopic single-and two-ion physics …

YbMgGaO 4, a structurally perfect two-dimensional triangular lattice with an odd number of
electrons per unit cell and spin-orbit entangled effective spin-1/2 local moments for the Yb …

Quantum spin liquids are an exciting playground for exotic physical phenomena and
emergent many-body quantum states. The realization and discovery of quantum spin liquid …

Neutron scattering measurements on the pyrochlore magnet Ce 2 Zr 2 O 7 reveal an
unusual crystal field splitting of its lowest J= 5/2 multiplet, such that its ground-state doublet …

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 …

Fractionalized excitations that emerge from a many-body system have revealed rich physics
and concepts, from composite fermions in two-dimensional electron systems, revealed …

Lanthanides in the trivalent oxidation state are typically described using an ionic picture that
leads to localized magnetic moments. The hierarchical energy scales associated with …