|报告题目||Flat-band Ferromagnetism of the SU(N) Hubbard Model on Tasaki Lattices|
|报告时间||2021-01-15 (周五) 10:00|
报告摘要：We present exact solutions of repulsive SU(N) Hubbard models in lattices with flat band. We prove the SU(N) Hubbard model can be mapped to a classical percolation problem for all lattices with flat-band in arbitrary dimensions, provided the quasi-locality and local-connectivity conditions are satisfied. We then consider 1D and 2D Tasaki lattices as examples and solve for the para-ferro magnetic phase transition points. We also rigorously prove the existence of ferromagnetic state for arbitrary values of N and dimensionalities if the single-particle flat-band is 1/N filled. Our work provides a starting point and benchmark for future analysis on SU(N) systems.