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 …

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 …

Here we establish the systematic existence of a U (1) degeneracy of all symmetry-allowed
Hamiltonians quadratic in the spins on the pyrochlore lattice, at the mean-field level. By …

Using resonant magnetic x-ray scattering we address the unresolved nature of the magnetic
ground state and the low-energy effective Hamiltonian of Sm 2 Ir 2 O 7, a prototypical …

Motivated by recent neutron scattering experiments, we derive and study an effective
“pseudodipolar” spin-1/2 model for the XY pyrochlore antiferromagnet Er 2 Ti 2 O 7. While a …

Recent neutron scattering and specific heat studies on the pyrochlore Yb 2 Ti 2 O 7 have
revealed variations in its magnetic behavior below 265 mK. In the best samples, a sharp …

Neutron scattering measurements show the ferromagnetic XY pyrochlore Yb 2 Ti 2 O 7 to
display strong quasi-two-dimensional (2D) spin correlations at low temperature, which give …

Extensive experimental investigations of the magnetic structures and excitations in the XY
pyrochlores have been carried out over the past decade. Three families of XY pyrochlores …

We studied the field induced magnetic order in R 2 Ti 2 O 7 pyrochlore compounds with
either uniaxial (R= Ho, Tb) or planar (R= Er, Yb) anisotropy, by polarized neutron diffraction …

In partially ordered magnets, order and disorder coexist in the same magnetic phase, distinct
from both spin liquids and spin solids. Here, we determine the nature of partial magnetic …