Flat-band Ferromagnetism of SU (N) Hubbard Model on the Kagome Lattices
The repulsive SU(N) Hubbard model on a kagome lattice is mapped to a classical N-state Pauli correlated site percolation problem on an effective triangular lattice. This mapping allows for sign-problem-free Monte Carlo simulations. The study reveals a first-order paramagnetic-to-ferromagnetic phase transition, where the critical densities depend on the flavor number N.