Dresden 2011 – scientific programme
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MA: Fachverband Magnetismus
MA 56: Graphene (jointly with DY, DS, HL, O, TT)
MA 56.1: Talk
Thursday, March 17, 2011, 15:15–15:30, HSZ 401
Tunable edge magnetism in graphene — •Manuel J. Schmidt1, Daniel Loss1, David J. Luitz2, and Fakher F. Assaad2 — 1Universität Basel, Switzerland — 2Universität Würzburg, Germany
Edge states with nearly zero energy that are exponentially localized at zigzag edges of graphene ribbons, in combination with electron-electron interactions give rise to edge magnetism. We show how the characteristic momentum-dependence of the transverse wave function of the edge states may be exploited in order to manipulate the edge state bandwidth [1]. This allows to tune graphene edges from the usual edge magnetism regime, over a regime of itinerant one-dimensional ferromagnetism, down to the non-magnetic Luttinger liquid regime. As an example we discuss graphene/graphane interfaces for which we propose an experimental setting in which the bandwidth may be tuned in situ by means of electrostatic gates [2]. We introduce an effective one-dimensional model for the edge states, on the basis of which we investigate the tunability of edge magnetism. Our analysis uses essentially three techniques: by a mean-field treatment of the effective interaction, the phase diagram is established. Quantum fluctuations, which may not be neglected in one dimension, are taken into account on the basis of a bosonization technique. Finally, these analytical calculations are complemented by an exact diagonalization analysis of the effective edge state model.
[1] M.J. Schmidt and D. Loss, Phys. Rev. B 81, 165439 (2010).
[2] M.J. Schmidt and D. Loss, Phys. Rev. B 82, 085422 (2010).