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 …

The properties of transition metal compounds are largely determined by nontrivial interplay
of different degrees of freedom: charge, spin, lattice, and also orbital ones. Especially rich …

A remarkable recent experiment has observed Mott insulator and proximate superconductor
phases in twisted bilayer graphene when electrons partly fill a nearly flat miniband that …

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 …

Quantum fluctuations can inhibit long-range ordering in frustrated magnets and potentially
lead to quantum spin liquid (QSL) phases. A prime example are gapless QSLs with …

The Jahn-Teller effect is one of the most fundamental phenomena important not only for
physics but also for chemistry and material science. Solving the Jahn-Teller problem and …

Synchrotron x-ray-diffraction measurements on single crystals of the double perovskite B a 2
MgRe O 6 with 5 d 1 electronic configurations reveal the successive phase transitions from a …

We show how to perform exact diagonalizations of SU (N) Fermi-Hubbard models on L-site
clusters separately in each irreducible representation (irrep) of SU (N). Using the …

Spin-orbit coupling of as large as a half eV for electrons in 5 d orbitals often gives rise to the
formation of spin-orbital entangled objects, with the effective total angular momentum J eff …

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 …