Determinant Quantum Monte Carlo simulations on quantum magnetism of theSU(2N) ultra-cold fermions

ORAL

Abstract

We investigate the quantum magnetism of the repulsive $SU(2N)$-Hubbard model on a two-dimensional square lattice at half-filling. At $2N=4$, our numerical results suggest that there exists a long-range Neel ordering at large $U$. In this regime, both of the antiferromagnetic structure factor per site and the farthest two-point spin-spin correlation functions are saturated to finite values in the thermodynamic limit. The single-particle excitations are finite and the spin gaps vanish. All of above evidences support the presence of the Neel ordering in the SU(4)-Hubbard model. For $2N > 4$, such features are not explicitly observed.

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Authors

  • Dong Zheng

    Department of Physics, Tsinghua University

  • Hsiang-Hsuan Hung

    Department of Electrical and Computer Engineering, the University of Illinois at Urbana-Champaign, Department of electrical and computer engineering, University of Illinois at Urbana-Champaign

  • Zi Cai

    Department of Physics, University of California, San Diego, Department of physics, UCSD

  • Congjun Wu

    Department of Physics, University of California, San Diego, University of California, San Diego