Frustration in magnetic materials arising from competing exchange interactions can prevent
the system from adopting long-range magnetic order and can instead lead to a diverse …

We review a key subset of the experimental studies that have recently focused on cubic
pyrochlore magnets whose pseudospin-1 2 degrees of freedom have mixed dipolar and …

Ever since its introduction by Ludwig Boltzmann, the ergodic hypothesis became a
cornerstone analytical concept of equilibrium thermodynamics and complex dynamic …

I review my recent progress and develop a geometrical approach in the quantum with light
as a guide, from the vector potential in classical physics, revealing that topological …

Topological phases of spin liquids with constrained disorder can host a kinetics of
fractionalized excitations. However, spin-liquid phases with distinct kinetic regimes have …

The Curie-Weiss law is widely used to estimate the strength of frustration in frustrated
magnets. However, the Curie-Weiss law was originally derived as an estimate of magnetic …

Topological defects—extended lattice deformations that are robust against local defects and
annealing—have been exploited to engineer novel properties in both hard and soft …

Geometrical frustration endows magnets with degenerate ground states, resulting in exotic
spin structures and quantum phenomena. Such magnets, called quantum magnets, can …

Rare-earth (RE)-based frustrated magnets, such as typical systems of combining strong spin–
orbit coupling (SOC), geometric frustration, and anisotropic exchange interaction, can give …

Efficient and accurate algorithms for partition function, free energy, and thermal entropy
calculations is of great significance in statistical physics and quantum many-body physics …