Strong interactions, narrow bands, and dominant spin-orbit coupling in   Mott insulating quadruple perovskite CaCo3V4O12
  We investigate the electronic and magnetic structures and the character and direction of spin and orbital moments of the recently synthesized quadruple perovskite cobaltovanadate CaCo3V4O12 using a selection of methods from density functional theory. Implementing the generalized gradient approximation and the Hubbard U correction (GGA+U), ferromagnetic spin alignment leads to half-metallicity rather than the observed narrow gap insulating behavior. Including spin-orbit coupling (SOC) leaves a half-semimetallic spectrum which is essentially Mott insulating. SOC is crucial for the Mott insulating character of the V d^1 ion, breaking the d_{m=\pm 1} degeneracy and also giving a substantial orbital moment. Evidence is obtained of the large orbital moments on Co that have been inferred from the measured susceptibility. Switching to the orbital polarization (OP) functional, GGA+OP+SOC also displays clear tendencies toward very large orbital moments but in its own distinctive manner. In both approaches, application of SOC, which requires specification of the direction of the spin, introduces large differences in the orbital moments of the three Co ions in the primitive cell. We study a fictitious but simpler cousin compound Ca3CoV4O12 (Ca replacing two of the Co atoms) to probe in more transparent fashion the interplay of spin and orbital degrees of freedom with the local environment of the planar CoO4 units. The observation that the underlying mechanisms seems to be local to a CoO4 plaquette, and that there is very strong coupling of the size of the orbital moment to the spin direction, strongly suggest non-collinear spins, not only on Co but on the V sublattice as well. 
H. B. Rhee and W. E. Pickett
cond-mat.str-el