Bosonic Bott Index and Disorder-Induced Topological Transitions of Magnons

Abstract

We investigate the role of disorder on the various topological magnonic phases present in deformed honeycomb ferromagnets. To this end, we introduce a bosonic Bott index to characterize the topology of magnon spectra in finite, disordered systems. The consistency between the Bott index and Chern number is numerically established in the clean limit. We demonstrate that topologically protected magnon edge states are robust to moderate disorder and, as anticipated, localized in the strong regime. We predict a disorder-driven topological phase transition, a magnonic analog of the "topological Anderson insulator" in electronic systems, where the disorder is responsible for the emergence of the nontrivial topology. Combining the results for the Bott index and transport properties, we show that bulk-boundary correspondence holds for disordered topological magnons. Our results open the door for research on topological magnonics as well as other bosonic excitations in finite and disordered systems.

arXiv comment6 pages, 3 figures (main text) + 4 pages, 4 figures (supplemental material)

References in corpus (34)

• Topological Insulators
• Topological insulators and superconductors
• Anyons in an exactly solved model and beyond
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Topological Boundary Modes in Isostatic Lattices
• Topological mechanics of gyroscopic metamaterials
• Observation of the Magnon Hall Effect
• Topological Anderson Insulator
• The Non-Commutative Geometry of the Quantum Hall Effect
• Theory of Thermal Hall Effect in Quantum Magnets
• Theory of the topological Anderson insulator
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological chiral magnonic edge mode in a magnonic crystal
• Topological Magnon Insulator in Insulating Ferromagnet
• Robustness of the Spin-Chern number
• Topological Nature of the Phonon Hall Effect
• Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
• A first theoretical realization of honeycomb topological magnon insulator
• A Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
• Disordered Topological Insulators via $C^{\ast }$-Algebras
• Fundamental Spin Interactions Underlying the Magnetic Anisotropy in the Kitaev Ferromagnet CrI${}_3$
• Dynamical preparation of Floquet Chern insulators
• Chiral spin-wave edge modes in dipolar magnetic thin films
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Thermal Hall Effect of Spins in a Paramagnet
• Correlation-driven topological phase transition from in-plane magnetized quantum anomalous Hall to Mott insulating phase in monolayer transition metal trichlorides
• Theory of spin Bott index for quantum spin Hall states in non-periodic systems
• Almost Commuting Matrices, Localized Wannier Functions, and the Quantum Hall Effect
• Spin wave spectrum of the quantum ferromagnet on the pyrochlore lattice Lu2V2O7
• The topological Anderson insulator phase in the Kane-Mele model
• Topological Anderson Insulators in Systems without Time-Reversal Symmetry
• Scattering theory of transport through disordered magnets

Cited by in corpus (28)

• Interaction-stabilized topological magnon insulator in ferromagnets
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• On the Bott index of unitary matrices on a finite torus
• Quantized Topological Anderson-Thouless Pump
• Magnon corner states in twisted bilayer honeycomb magnets
• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Observation of squeezed Chern insulator in an acoustic fractal lattice
• Calculations of Chern number: equivalence of real-space and twisted-boundary-condition formulae
• Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
• Time-dependent strain-tuning topological magnon phase transition
• Zero-frequency chiral magnonic edge states protected by non-equilibrium topology
• Robustness of topological magnons in disordered arrays of skyrmions
• Characterization of higher-order topological superconductors using Bott indices
• Bose-Einstein condensate of Dirac magnons: Pumping and collective modes
• Inducing a topological transition in graphene nanoribbons superlattices by external strain
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Topological magnonic dislocations modes
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Recent progress on disorder-induced topological phases
• Quantum geometry, localization, and topological bounds of spin fluctuations
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Type-II Weyl Excitation in Vortex Arrays
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder