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Published June 5, 2009 | public
Journal Article

Theory of Interedge Superexchange in Zigzag Edge Magnetism

Abstract

A graphene nanoribbon with zigzag edges has a gapped magnetic ground state with an antiferromagnetic interedge superexchange interaction. We present a theory based on asymptotic properties of the Dirac-model ribbon wave function 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.

Additional Information

©2009 The American Physical Society. Received 3 December 2008; published 5 June 2009. The authors gratefully acknowledge helpful interactions with R. Bistritzer, J. Hill, H.-H. Lin, N. Sinitsyn, J. Fernández-Rossier, J. J. Palacios, and C.-C. Wang. This work was supported by the Welch Foundation, NRI-SWAN, ARO, DOE, and by the Spanish Ministry of Education through the MEC-Fulbright program.

Additional details

Created:
August 21, 2023
Modified:
October 19, 2023