Edge Magnon Excitation in Spin Dimer Systems

Abstract

Magnetic excitation in a spin dimer system on a bilayer honeycomb lattice is investigated in the presence of a zigzag edge, where disordered and ordered phases can be controlled by a quantum phase transition. In analogy with the case of graphene with a zigzag edge, a flat edge magnon mode appears in the disordered phase. In an ordered phase, a finite magnetic moment generates a mean-field potential to the magnon. Since the potential is nonuniform on the edge and bulk sites, it affects the excitation, and the dispersion of the edge mode deviates from the flat shape. We investigate how the edge magnon mode evolves when the phase changes through the quantum phase transition and discuss the similarities to ordered spin systems on a monolayer honeycomb lattice.

arXiv comment17 pages, 13 figures

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Cited by in corpus (6)

• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Triplon band splitting and topologically protected edge states in the dimerized antiferromagnet
• Edge states in a ferromagnetic honeycomb lattice with armchair boundaries
• Topological Magnon Insulator with a Kekule Bond Modulation
• Analytical study of the edge states in the bosonic Haldane model
• Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder