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

5 pages, 4 figures

References in corpus (5)

• The Quantum Spin Hall Effect: Theory and Experiment
• Observation of the Magnon Hall Effect
• Zero modes and the edge states of the honeycomb lattice
• Relativistic ferromagnetic magnon at the zigzag edge of graphene
• Edge Magnon Excitation in Spin Dimer Systems

Cited by in corpus (7)

• Topological Corner States in Graphene by Bulk and Edge Engineering
• Asymmetric dynamics of edge exchange spin waves in honeycomb nanoribbons with zigzag and bearded edges boundaries
• Magnon Hall effect in antiferromagnetic lattices
• Discretized dynamics of exchange spin wave bulk and edge modes in honeycomb nanoribbons with armchair edge boundaries
• 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