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Journal Article

Ferromagnetic ground state in the Kondo lattice model

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Shen, S.-Q. (1998). Ferromagnetic ground state in the Kondo lattice model. European Physical Journal B, 2(1), 11-16. doi:10.1007/s100510050220.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-A726-7
We present a series of rigorous examples of the Kondo lattice model that exhibit full ferromagnetism in the ground state. The models are defined in one-, two- and three-dimensional lattices, and are characterized by a range of hopping terms, specific electron filling, and large ferromagnetic coupling. Our examples show that a sufficient strong but finite exchange coupling between conduction electrons and localized spins could overcome the competition from mobility of a finite density of electrons and drive the system from a paramagnetic phase to a ferromagnetic phase. We also establish a relation of ferromagnetism between the Hubbard model and Kondo lattice model. Meanwhile some rigorous results on ferromagnetism in the corresponding Hubbard model are presented.