We review the recent advances and current challenges in the field of strong spin-orbit
coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly …

In transition-metal compounds with partially filled 4 d and 5 d shells spin–orbit
entanglement, electronic correlations, and crystal-field effects conspire to give rise to a …

The exploration of quantum spin liquids (QSLs) has been guided by different approaches
including the resonating valence bond (RVB) picture, deconfined lattice gauge theories, and …

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 …

Multipolar spin systems provide a rich ground for the emergence of unexpected states of
matter due to their enlarged spin degree of freedom. In this study, with a specific emphasis …

The S= 3 2 Kitaev honeycomb model (KHM) is unique among the spin-S Kitaev models due
to a massive ground-state quasidegeneracy that hampered previous numerical and …

The higher spin Kitaev model prominently features the extensive locally conserved
quantities the same as the spin-1/2 Kitaev honeycomb model, although it is not exactly …

The higher-spin Kitaev magnets, in which the Kitaev interaction and off-diagonal exchange
couplings are overwhelmingly large, have emerged as a fertile avenue to explore exotic …

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally
conceived for spin S= 1/2 moments on a honeycomb lattice. In recent years, the model has …

We study the spin-S Kitaev-Heisenberg model on the honeycomb lattice for S= 1/2, 1, and
3/2, by using the coupled cluster method (CCM) of microscopic quantum many-body theory …