Effective low-energy spin model for narrow zigzag graphene nanoribbons

Abstract

The magnetic properties of narrow zigzag graphene nanoribbons with periodically embedded atoms of transition metals have been studied in the framework of Heisenberg spin Hamiltonian. We have proposed the simple effective model to give a semi-qualitative description of the peculiarities of magnetization profiles of the systems under consideration. This model can be used for an arbitrary value of spin of the embedded atoms of transition metals. Our analytical and numerical calculations confirm the correctness of the proposed model.