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 …

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 …

Stabilizing Z 2 fluxes in Kitaev spin liquids (KSLs) is crucial for both characterizing candidate
materials and identifying Ising anyons. In this study, we investigate the effects of spin-S …

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 Yao-Lee model is an example of exactly solvable spin-orbital models that are
generalizations of the original Kitaev honeycomb model with extra local orbital degrees of …

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 …

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 …

Motivated by the possible triple-Q classical order in the Kitaev candidate material Na 2 Co 2
TeO 6, we investigate microscopic models that may stabilize the triple-Q order by studying …

The nonintegrable higher spin Kitaev honeycomb model has an exact Z 2 gauge structure,
which exclusively identifies quantum spin liquid in the half-integer spin Kitaev model. But its …

We analyze the internal symmetries and their anomalies in the Kitaev spin-$ S $ models.
Importantly, these models have a lattice version of a $\mathbb {Z} _2 $1-form symmetry …