Saturated ferromagnetism from statistical transmutation

Abstract The magnetic properties of the ground state are studied in the U → ∞ Hubbard model with uniform magnetic flux perpendicular to a square lattice, in the absence of Zeeman coupling. It is found that the saturated ferromagnetism emerges in a rather wide region in the space of the flux density φ and the electron density n e space. In particular, the saturated ferromagnetism at φ = n e is induced by the formation of a spin- 1 2 boson, which is a composite of an electron and the unit flux quantum. This ferromagnetism is overcome by the chiral spin order in a certain range of n e .