Relativistic ferromagnetic magnon at the zigzag edge of graphene

Abstract

We study the spin-wave excitations near the zigzag edge of graphene. It is rather interesting that we obtain a single branch of relativistic ferromagnetic magnon due to the presence of the open boundary. Note that magnons in antiferomagnets appear in pairs, while the single brach magnon in ferromagnets does not have relativistic dispersion. Thus, the magnon near the zigzag edge of graphene is a hybrid of both, signaling its intrinsic property as a boundary excitation that must be embedded in a higher dimensional bulk system.

4 pages, 3 figures

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• Electric Field Effect in Atomically Thin Carbon Films
• Half-Metallic Graphene Nanoribbons
• Valley filter and valley valve in graphene
• Spin qubits in graphene quantum dots
• Andreev Edge State on Semi-Infinite Triangular Lattice: Detecting the Pairing Symmetry in Na_0.35CoO_2.yH_2O

Cited by in corpus (6)

• Dynamical Signatures of Edge-State Magnetism on Graphene Nanoribbons
• Spin Currents and Magnon Dynamics in Insulating Magnets
• Edge states in a ferromagnetic honeycomb lattice with armchair boundaries
• Asymmetric dynamics of edge exchange spin waves in honeycomb nanoribbons with zigzag and bearded edges boundaries
• Edge Magnon Excitation in Spin Dimer Systems
• Discretized dynamics of exchange spin wave bulk and edge modes in honeycomb nanoribbons with armchair edge boundaries