Theory of inter-edge superexchange in zigzag edge magnetism

Details Theory of inter-edge superexchange in zigzag edge magnetism Theory of inter-edge superexchange in zigzag edge magnetism

2008-12-04

arxiv.org/abs/0812.1047v1

Phys. Rev. Lett. 102, 227205 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages 8 figures

Scientific paper

10.1103/PhysRevLett.102.227205

A graphene nanoribbon with zigzag edges has a gapped magnetic ground state with an antiferromagnetic inter-edge superexchange interaction. We present a theory based on asymptotic properties of the Dirac-model ribbon wavefunction which predicts $W^{-2}$ and $W^{-1}$ ribbon-width dependencies for the superexchange interaction strength and the charge gap respectively. We find that, unlike the case of conventional atomic scale superexchange, opposite spin-orientations on opposite edges of the ribbon are favored by both kinetic and interaction energies.

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