%0 Journal Article %1 PhysRevB.100.085103 %A Kim, Francisco H. %A Assaad, Fakher F. %A Penc, Karlo %A Mila, Frédéric %D 2019 %I American Physical Society %J Phys. Rev. B %K b %N 8 %P 085103 %R 10.1103/PhysRevB.100.085103 %T Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory %U https://link.aps.org/doi/10.1103/PhysRevB.100.085103 %V 100 %X Using 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.

@article{PhysRevB.100.085103, abstract = {Using 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.}, added-at = {2019-08-19T09:11:15.000+0200}, author = {Kim, Francisco H. and Assaad, Fakher F. and Penc, Karlo and Mila, Frédéric}, biburl = {https://www.bibsonomy.org/bibtex/217f48f3988831b1006091ce2c395871f/ctqmat}, day = 01, description = {Phys. Rev. B 100, 085103 (2019) - Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory}, doi = {10.1103/PhysRevB.100.085103}, interhash = {aa094704bbfa30dc61595dcdadffaca3}, intrahash = {17f48f3988831b1006091ce2c395871f}, journal = {Phys. Rev. B}, keywords = {b}, month = {08}, number = 8, numpages = {8}, pages = 085103, publisher = {American Physical Society}, timestamp = {2023-01-16T14:49:29.000+0100}, title = {Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory}, url = {https://link.aps.org/doi/10.1103/PhysRevB.100.085103}, volume = 100, year = 2019 }