Edge states in a ferromagnetic honeycomb lattice with armchair boundaries

Abstract

We investigate the properties of magnon edge states in a ferromagnetic honeycomb lattice with armchair boundaries. In contrast with fermionic graphene, we find novel edge states due to the missing bonds along the boundary sites. After introducing an external on-site potential at the outermost sites we find that the energy spectra of the edge states are tunable. Additionally, when a non-trivial gap is induced, we find that some of the edge states are topologically protected and also tunable. Our results may explain the origin of the novel edge states recently observed in photonic lattices. We also discuss the behavior of these edge states for further experimental confirmations

arXiv comment5 pages, 4 figures

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Cited by in corpus (16)

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• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Magnon magic angles and tunable Hall conductivity in 2D twisted ferromagnetic bilayers
• Edge on-site potential effects in a honeycomb topological magnon insulator
• Unconventional Thermal Magnon Hall Effect in a Ferromagnetic Topological Insulator
• Helicity flip of high-harmonic photons in Haldane nanoribbons
• A new class of nonreciprocal spin waves on the edges of 2D antiferromagnetic honeycomb nanoribbons
• Topological Magnon Insulator with a Kekule Bond Modulation
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Nonlinear localized excitations in a topological ferromagnetic honeycomb lattice
• Asymmetric dynamics of edge exchange spin waves in honeycomb nanoribbons with zigzag and bearded edges boundaries
• Discretized dynamics of exchange spin wave bulk and edge modes in honeycomb nanoribbons with armchair edge boundaries
• Magnon Hall effect in antiferromagnetic lattices
• Magnon bands and transverse transport in a proposed two-dimensional $C{u}_2{F}_5$ ferrimagnet
• Topological Magnetic Phases and Magnon-Phonon Hybridization in the Presence of Strong Dzyaloshinskii-Moriya Interaction
• Long-distance coupling of spin qubits via topological magnons