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 …

Publisher Summary This chapter discusses percolation theory as well as spin-glass
phenomena, the former of which is used to understand subjects as diverse as fluid flow in …

We report a detailed study of the pyrochlore Ho 2 Ti 2 O 7, in which the magnetic ions (Ho
3+) are ferromagnetically coupled with J∼ 1 K. We show that the presence of local Ising …

We study the low-temperature behavior of the classical Heisenberg antiferromagnet with
nearest neighbor interactions on the pyrochlore lattice. Because of geometrical frustration …

We study the ground-state and low-energy properties of classical vector spin models with
nearest-neighbor antiferromagnetic interactions on a class of geometrically frustrated …

Neutron scattering, muon spin relaxation, and dc susceptibility studies have been carried out
on polycrystalline Tb 2 Ti 2 O 7, a pyrochlore antiferromagnet in which the Tb 3+ moments …

In a recent paper [JS Gardner et al., Phys. Rev. Lett. 82, 1012 (1999)] it was found that the Tb
3+ magnetic moments in the Tb 2 Ti 2 O 7 antiferromagnetic pyrochlore lattice of corner …

The ground state ensemble of the highly frustrated pyrochlore-lattice antiferromagnet can be
mapped to a coarse-grained “polarization” field satisfying a zero-divergence condition. From …

We describe magnetization measurements on the heavy rare earth titanate pyrochlores R 2
Ti 2 O 7, where R= Gd, Dy, Ho, Er, Yb, in the temperature range 1.8-300 K, and the field …

Static and dynamic magnetic correlations in the geometrically frustrated pyrochlore
antiferromagnet Y 2 M o 2 O 7 have been studied using neutron scattering. The material is …