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 …

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 …

The family of magnetic rare-earth pyrochlore oxides R 2 M 2 O 7 plays host to a diverse
array of exotic phenomena, driven by the interplay between geometrical frustration and spin …

Classical spin liquids (CSL) lack long-range magnetic order and are characterized by an
extensive ground-state degeneracy. We propose a classification scheme of CSLs based on …

The frustrated pyrochlore magnet Yb 2 Ti 2 O 7 has the remarkable property that it orders
magnetically but has no propagating magnons over wide regions of the Brillouin zone. Here …

Gauge theories are powerful theoretical physics tools that allow complex phenomena to be
reduced to simple principles and are used in both high-energy and condensed matter …

The hallmark of highly frustrated systems is the presence of many states close in energy to
the ground state. Fluctuations between these states can preclude the emergence of any form …

Fracton phases are a particularly exotic type of quantum spin liquids where the elementary
quasiparticles are intrinsically immobile. These phases may be described by unconventional …

Matrix Product States (MPS) are used for the simulation of the real-time dynamics induced
by an electric quench on the vacuum state of the massive Schwinger model. For small …

Higher-rank generalizations of electrodynamics have recently attracted considerable
attention because of their ability to host “fracton” excitations, with connections to both fracton …