The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-
dimensional spin system with a rich phase diagram. Besides hosting several ordered …

Spin liquids are highly correlated yet disordered states formed by the entanglement of
magnetic dipoles. Theories define such states using gauge fields and deconfined …

Spin liquid crystals are magnetic analogs of liquid crystals, possessing properties of both
liquids and solids, a typical example of which are spin nematics. Spin nematics share many …

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 …

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 …

In a quantum spin liquid, the magnetic moments of the constituent electron spins evade
classical long-range order to form an exotic state that is quantum entangled and coherent …

Symmetry fractionalization is a ubiquitous feature of topologically ordered states that can be
used to classify different symmetry-enriched topological phases and reveal some of their …

Recent investigations on the dipolar-octupolar compounds Ce 2 Zr 2 O 7 and Ce 2 Sn 2 O 7
suggest that they may stabilize so-called π-flux octupolar quantum spin ice (π-O-QSI), a …

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 …

The search of unconventional magnetic and nonmagnetic states is a major topic in the study
of frustrated magnetism. Canonical examples of those states include various spin liquids …