Hidden spin-orbital hexagonal ordering induced by strong correlations in   LiVS$_2$
  We present a first-principles many-body analysis of multi-orbital lattice susceptibilities in the metallic phase of the quasi-twodimensional compound LiVS$_2$. We base this on advanced correlated electronic structure methods for the $t_{2g}$-shell to reveal a highly entangled spin-orbital hexagonal ordering (SOHO) bringing about an inherently intersite order parameter for the trimerization transition, which eventually leads to an intriguing insulating phase at low temperature. 
Lewin Boehnke, Alexander I. Lichtenstein, Mikhail I. Katsnelson, Frank   Lechermann
cond-mat.mtrl-sci cond-mat.str-el