This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

The exactly solvable Kitaev model on the honeycomb lattice has recently received
enormous attention linked to the hope of achieving novel spin-liquid states with …

Frustrated magnets are materials in which localized magnetic moments, or spins, interact
through competing exchange interactions that cannot be simultaneously satisfied, giving rise …

Complex oxides with 4 d and 5 d transition-metal ions recently emerged as a new paradigm
in correlated electron physics, due to the interplay between spin–orbit coupling and electron …

We discuss phenomena arising from the combined influence of electron correlation and spin-
orbit coupling (SOC), with an emphasis on emergent quantum phases and transitions in …

YbMgGaO 4, a structurally perfect two-dimensional triangular lattice with an odd number of
electrons per unit cell and spin-orbit entangled effective spin-1/2 local moments for the Yb …

The current efforts to find the materials hosting Kitaev model physics have been focused on
Mott insulators of d 5 pseudospin-1/2 ions Ir 4+ and Ru 3+ with t 2 g 5 (S= 1/2, L= 1) …

We study the magnetic interactions in Mott-Hubbard systems with partially filled t 2 g levels
and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and …

We explore the phase diagram of spin-orbit Mott insulators on a honeycomb lattice, within
the Kitaev-Heisenberg model extended to its full parameter space. Zigzag-type magnetic …

Recent theory and experiment have revealed that strong spin–orbit coupling can have
marked qualitative effects on the band structure of weakly interacting solids, leading to a …