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 …

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 …

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 …

To establish a solid-state-based framework for the coexistence of quantum many-body scars
and quantum criticality, we investigate the spin-1 Kitaev chain with uniaxial single-ion …

We study an exactly solvable model with bond-directional quadrupolar and octupolar
interactions between spin-orbital entangled j eff= 3 2 moments on the honeycomb lattice. We …

We introduce a family of SO (n)-symmetric spin chains which generalize the transverse-field
Ising chain for n= 1. These spin chains are defined with gamma matrices and can be exactly …

We consider the square lattice S= 1/2 quantum compass model (QCM) parametrized by J x,
J z, under a field, h, in the xz plane. At the special field value (hx★, hz★)= 2 S (J x, J z), we …

Van der Waals monolayers featuring magnetic states provide a fundamental building block
for artificial quantum matter. Here, we establish the emergence of a multicomponent ground …

We study an exactly solvable model with bond-directional quadrupolar and octupolar
interactions between spin-orbital entangled $ j_ {\mathrm {eff}}= 3/2$ moments on the …

We investigate topological quantum phase transitions with concomitant symmetry breaking
in Kugel-Khomskii type models with bond-dependent interactions in the orbital degrees of …