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 …

Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-
body systems and essentially unavoidable in solid state materials. Often, such random …

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 …

Pyrochlore materials show intensive potential for various everyday applications owing to
their highly stable structure with tunable lattice parameters. Energy storage tunability and …

We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin S
in the presence of nearest-neighbor J 1 and second-nearest-neighbor J 2 exchange …

In most superconductors electrons form Cooper pairs in a spin-singlet state mediated by
either phonons or by long-range interactions such as spin fluctuations. The superconductor …

We investigate the ground state and critical temperature (T c) phase diagrams of the
classical and quantum S= 1 2 pyrochlore lattice with nearest-neighbor Heisenberg and …

We present the results of finite-temperature classical Monte Carlo simulations of a strongly
spin-orbit-coupled nearest-neighbor triangular-lattice model for the candidate U (1) quantum …

Order-by-disorder, whereby fluctuations lift an accidental classical ground state degeneracy
to stabilize a subset of ordered states, is a recurrent and prominent theme in the field of …

Mott insulators with strong spin-orbit coupling display a strongly anisotropic response to
applied magnetic fields. This applies in particular to Kitaev materials, with α-RuCl 3 and Na …