Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning-field quantum Monte Carlo simulations.
We nonperturbatively investigate the ground state magnetic properties of the 2D half-filled SU(2N) Hubbard model in the square lattice by using the projector determinant quantum Monte Carlo simulations combined with the method of local pinning fields. Long-range Néel orders are found for both the SU(4) and SU(6) cases at small and intermediate values of U. In both cases, the long-range Néel moments exhibit nonmonotonic behavior with respect to U, which first grow and then drop as U increases. This result is fundamentally different from the SU(2) case in which the Néel moments increase monotonically and saturate. In the SU(6) case, a transition to the columnar dimer phase is found in the strong interaction regime.
Department of Physics, University of California, San Diego, California 92093, USA.
Da
D
Wang
Department of Physics, University of California, San Diego, California 92093, USA and Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA.
Yi
Y
Li
Department of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Theresienstraße 37, 80333 Munich, Germany.
Zi
Z
Cai
School of Physics and Technology, Wuhan University, Wuhan 430072, China.
Zhichao
Z
Zhou
School of Physics and Technology, Wuhan University, Wuhan 430072, China.
Yu
Y
Wang
Department of Physics, University of California, San Diego, California 92093, USA.
Congjun
C
Wu