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1 results

  • 12 - Spin effects and magnetism

  • Mikhail I. Katsnelson, Radboud Universiteit Nijmegen
  • Book:
    The Physics of Graphene
    Published online:
    24 May 2020
    Print publication:
    19 March 2020, pp 326-350

  • Summary

    After general discussion of itinerant-electron magetism, Hubbard model and Lieb theorem, we discuss magnetic moments at different types of defects in graphene and supposed ferromagnetism at zigzag edges. We consider various mechanisms for determining spin-orbit coupling, with especial emphasis on the importance of full band structure, and the effect of spin-orbit interaction on electronic structure. In this respect, we briefly discuss the difference between graphene, silicene, and germanene, and Kane–Mele model, which initiated development of the field of topological insulators. At the end, we consider the effect of magnetic edges on spin relaxation in graphene nanoribbons.