Dimerization in the SU(4) Heisenberg model on the cubic lattice: iPEPS study

We study SU(4)-symmetric Heisenberg model on the cubic lattice with spatially anisotropic magnetic couplings. We utilize several approaches based on the tensor-network representation of the many-body wave functions, which enable accurate analysis of ground-state properties of the model in different regimes of spatial anisotropy including fully isotropic three-dimensional case. Our results point to the persistence of the dimerized color-ordered phase throughout whole range of magnetic couplings excluding only the limit of completely decoupled one-dimensional chains.