Topological Magnon Insulator with a Kekule Bond Modulation

Abstract

We examine the combined effects of a Kekule coupling texture (KC) and a Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional ferromagnetic honeycomb lattice. By analyzing the gap closing conditions and the inversions of the bulk bands, we identify the parameter range in which the system behaves as a trivial or a nontrivial topological magnon insulator. We find four topological phases in terms of the KC parameter and the DMI strength. We present the bulk-edge correspondence for the magnons in a honeycomb lattice with an armchair or a zigzag boundary. Furthermore, we find Tamm-like edge states due to the intrinsic on-site interactions along the boundary sites. Our results may have significant implications to magnon transport properties in the 2D magnets at low temperatures.

arXiv comment7 pages, 5 figures

References in corpus (41)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Observation of the Magnon Hall Effect
• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• The Zak phase and the existence of edge states in graphene
• Electron fractionalization in two-dimensional graphenelike structures
• Topological chiral magnonic edge mode in a magnonic crystal
• Observation of novel edge states in photonic graphene
• Novel effects of strains in graphene and other two dimensional materials
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
• The thermal Hall effect of spin excitations in a Kagome magnet
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• A Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7
• Dirac magnons in honeycomb ferromagnets
• Magnon Dirac materials
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
• Topological Properties of Electrons in Honeycomb Lattice with Kekulé Hopping Textures
• Partial Kekule Ordering of Adatoms on Graphene
• Interference of Topologically Protected Edge States in Silicene Nanoribbons
• Emergence of topological semimetals in gap closing in semiconductors without inversion symmetry
• Valley-momentum locking in a graphene superlattice with Y-shaped Kekulé bond texture
• Mirror winding number and helical edge modes in honeycomb lattice with hopping-energy texture
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Spin current and accumulation generated by spin Hall insulator
• Tunable edge states and their robustness towards disorder
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Edge states in a ferromagnetic honeycomb lattice with armchair boundaries
• Edge on-site potential effects in a honeycomb topological magnon insulator
• Strain-Induced Topological Magnon Phase Transitions: Applications to Kagome-Lattice Ferromagnets
• Topological properties of the bond-modulated honeycomb lattice
• Relativistic ferromagnetic magnon at the zigzag edge of graphene
• Modulation of Kekulé adatom ordering due to strain in graphene
• Edge Magnon Excitation in Spin Dimer Systems

Cited by in corpus (5)

• Topological insulators and semimetals in classical magnetic systems
• Anti-chiral edge states in Heisenberg ferromagnet on a honeycomb lattice
• Dynamical Floquet spectrum of Kekulé-distorted graphene under normal incidence of electromagnetic radiation
• Unconventional Thermal Magnon Hall Effect in a Ferromagnetic Topological Insulator
• Floquet Control of Electron and Exciton Transport in Kekulé-Distorted Graphene