Effective low-energy spin model for narrow zigzag graphene nanoribbons
V.O. Cheranovskii1, V.V. Slavin2, and E.V. Ezerskaya1
1V.N. Karazin Kharkiv National University, 4 Svoboda Sq., Kharkiv 61022, Ukraine
2B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv 61103, Ukraine
Received March 11, 2020, published online May 26, 2020
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.
Key words: graphene nanoribbons, Lieb theorem, Heisenberg spin model.