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 …

Rare earth-based materials have played a central role in recent efforts to understand the
very unconventional behavior of geometrically frustrated magnetic materials. In particular …

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 …

We consider the structure of anisotropic exchange interactions in ytterbium-based insulating
rare-earth magnets built from edge-sharing octahedra. We argue the features of trivalent …

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 …

We report the low-temperature magnetic properties of Ce 2 Sn 2 O 7, a rare-earth
pyrochlore. Our susceptibility and magnetization measurements show that due to the …

The Heisenberg nearest-neighbor antiferromagnet on the pyrochlore (three-dimensional)
lattice is highly frustrated and does not order at low temperature where spin-spin …

By means of neutron scattering and magnetization measurements down to 90 mK, we
determine the magnetic ground state of the spin-ice candidate Nd 2 Zr 2 O 7. We show that …

We have studied the spin liquid Tb 2 Sn 2 O 7 by neutron diffraction and specific heat
measurements. Below about 2 K, the antiferromagnetic liquidlike correlations mostly change …

In this work we investigate the phase diagram of heavy (4 d and 5 d) transition-metal oxides
on the pyrochlore lattice, such as those of the form A 2 M 2 O 7, where A is a rare-earth …