Field-induced ferromagnetism in one-dimensional tight-binding lattices

We theoretically show the possibility to induce magnetic ordering in non-magnetic one-dimensional systems of strongly interacting electrons hopping on a tight-binding lattice. Our analysis is provided within the framework of the t1-t2 Hubbard Model, assuming non-zero second-neighbor hopping rate. It is shown that a high-frequency electric field can be exploited to induce artificial ferromagnetism and eventually control the anti-ferromagnetic/ferromagnetic phase transition. Our analysis is validated by numerical simulations in a low-density system of 2-particles on a lattice with 11 sites