Kim, Francisco H.Assaad, Fakher F.Penc, KarloMila, Frederic2019-08-132019-08-132019-08-132019-08-0110.1103/PhysRevB.100.085103https://infoscience.epfl.ch/handle/20.500.14299/159712WOS:000478044600004Using linear flavor-wave theory (LFWT) and auxiliary field quantum Monte Carlo (QMC), we investigate the properties of the SU(4) Heisenberg model on the anisotropic square lattice in the fully antisymmetric six-dimensional irreducible representation, a model that describes interacting fermions with four flavors at half-filling. Thanks to the calculations on very large systems, we have been able to convincingly demonstrate that QMC results are consistent with a small but finite antiferromagnetic moment at the isotropic point, in qualitative agreement with LFWT obtained earlier [F. H. Kim et al., Phys. Rev. B 96, 205142 (2017)], and in quantitative agreement with results obtained previously on the Hubbard model [D. Wang et al., Phys. Rev. Lett. 112, 156403 (2014)] after extrapolation to infinite U/t. The presence of a long-range antiferromagnetic order has been further confirmed by showing that a phase transition takes place into a valence-bond solid (VBS) phase not too far from the isotropic point when reducing the coupling constant along one direction on the way to decoupled chains.Materials Science, MultidisciplinaryPhysics, AppliedPhysics, Condensed MatterMaterials SciencePhysicslarge-n limitground-statesspin-peierlsvalence-bondtext::journal::journal article::research article