Thermal Hall effect and topological edge states in a square lattice antiferromagnet

Abstract

We show that the two dimensional spatial inversion-symmetry (SIS) broken square lattice antiferromagnet with easy-plane spin anisotropy exhibits a thermal Hall effect and the edge modes characterized by the Z 2 topological invariant. These topological properties require a nonzero Berry curvature, and its origin is ascribed to the Dzyaloshinskii-Moriya (DM) interactions or the noncoplanar magnetic ordering generating a U(1) gauge field that couples to the kinetic motion of magnons. Although this picture is established in ferromagnets on the kagome and pyrochlore lattices, it does not apply to our square lattice model since such gauge field cancels out in an edge shared geometry. Instead, our case has an analogy with the anomalous Hall effect of Rashba electronic system where the spin orbit coupling generates an SU(2) gauge field. The two species of magnons defined on antiferromagnetic sublattices can be regarded as the pseudo-spin degrees of freedom of magnons. The DM interactions that emerge due to the SIS breaking serve as a pseudo-spin orbit coupling of magnons and generate a Berry curvature, when the direction of the magnetic moments is properly controlled by the magnetic field. The thermal Hall conductivity of our antiferromagnet shows rapid growth in temperature T beyond the power-law, reflecting the almost gapless low energy branch of the antiferromagnet, which distinctively differs from the T^7/2 -dependence in the pyrochlore ferromagnets. The present system serves as a standard model for the noncentrosymmetric crystals Ba2MnGe2O7 and Ba2CoGe2O7.

arXiv comment17 pages, 9 figures

References in corpus (60)

• Topological superconductors: a review
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Anomalous Hall effect in ferromagnetic semiconductors
• Observation of the Magnon Hall Effect
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Theory of Thermal Hall Effect in Quantum Magnets
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological chiral magnonic edge mode in a magnonic crystal
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Topological Magnon Insulator in Insulating Ferromagnet
• Spin Nernst Effect of Magnons in Collinear Antiferromagnets
• The thermal Hall effect of spin excitations in a Kagome magnet
• Rotational motion of magnon and thermal Hall effect
• A first theoretical realization of honeycomb topological magnon insulator
• Magnon spin Nernst effect in antiferromagnets
• A Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
• Ferroelectricity induced by spin-dependent metal-ligand hybridization in Ba${}_2$CoGe${}_2$O${}_7$
• Weyl magnons in breathing pyrochlore antiferromagnets
• Semiclassical theory of spin transport in spin-orbit coupled systems
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Hall effect of triplons in a dimerized quantum magnet
• Anomalous Hall effect in paramagnetic two dimensional systems
• Magnonic topological insulators in antiferromagnets
• Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
• The effect of the magnon dispersion on the longitudinal spin Seebeck effect in yttrium iron garnets (YIG)
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Thermal Hall Effect of Spins in a Paramagnet
• Magnetic texture-induced thermal Hall effects
• Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Magnonic Weyl semimetal in pyrochlore ferromagnets
• DC-transport properties of ferromagnetic (Ga,Mn)As semiconductors
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction
• Designing Dirac points in two-dimensional lattices
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Magnon Hall effect in AB-stacked bilayer honeycomb quantum magnets
• Spin waves and the origin of commensurate magnetism in Ba2CoGe2O7
• Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets
• Instability of Magnons in Two-dimensional Antiferromagnet at High Magnetic Fields
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Floquet Topological Magnons
• Dirac Magnon Nodal Loops in Quasi-2D Quantum Magnets
• Noncollinear Antiferromagnetic Haldane Magnon Insulator
• Magnonic Analogs of Topological Dirac Semimetals
• Photoinduced Topological Phase Transitions in Topological Magnon Insulators
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
• Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
• Topological Magnon Bands and Unconventional Thermal Hall Effect on the Frustrated Honeycomb and Bilayer Triangular Lattice
• Edge states in a ferromagnetic honeycomb lattice with armchair boundaries
• Topological Magnon Bands in Ferromagnetic Star Lattice
• Microwave non-reciprocity of magnon excitations in a non-centrosymmetric antiferromagnet Ba${}_2$MnGe${}_2$O${}_7$
• Chirality-induced magnon transport in AA-stacked bilayer honeycomb chiral magnets
• Squeezed Dirac and Topological Magnons in a Bosonic Honeycomb Optical Lattice
• Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
• Photoinduced topologically trivial magnons with finite thermal Hall effect

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• Topological Magnons: A Review
• Magnetic texture based magnonics
• Topological insulators and semimetals in classical magnetic systems
• Observation of Antiferromagnetic Magnon Pseudospin Dynamics and the Hanle effect
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Topological Phases in Magnonics
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Three-dimensional topological magnon systems
• Topological magnetic excitations
• Antiferromagnetic magnon pseudospin: Dynamics and diffusive transport
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Observation of nonreciprocal magnon Hanle effect
• Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
• Magnetoelastic coupling enabled tunability of magnon spin current generation in 2D antiferromagnets
• Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
• Excitation of magnon spin photocurrents in antiferromagnetic insulators
• Dirac surface states in magnonic analogs of topological crystalline insulators
• All-electrical Magnon Transport Experiments in Magnetically Ordered Insulators
• Thermal Hall responses in frustrated honeycomb spin systems
• The topological magnon bands in the Flux state in Sashtry-Sutherland lattice
• Weyl-triplons in SrCu2(BO3)2
• Majorana chiral spin liquid in Mott insulating cuprates
• Chiral phase transition and thermal Hall effect in an anisotropic spin model on the kagome lattice
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Einstein-de Haas Effect of Topological Magnons
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Nonlinear spin current of photoexcited magnons in collinear antiferromagnets
• Quantum geometry and magnon Hall transport in an altermagnet
• Magnon Hall effect in antiferromagnetic lattices
• Impact of magnetic anisotropy on the magnon Hanle effect in $\alpha$-Fe${}_2$O${}_3$
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Topological magnon-polaron transport in a bilayer van der Waals magnet
• Transversal transport of magnons in a modified Lieb lattice
• Density Wave Mediated Dzyaloshinskii-Moriya Interactions
• Topological Aspects of Antiferromagnets
• Pinch points and half moons encode Berry curvature
• Magnon bands and transverse transport in a proposed two-dimensional $C{u}_2{F}_5$ ferrimagnet
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Magnon topology driven by altermagnetism
• Magnetic excitations in the noncentrosymmetric magnet Sr2MnSi2O7
• Influence of low-energy magnons on magnon Hanle experiments in easy-plane antiferromagnets
• Topological phases of electrons induced by electron-magnon interactions
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Topological properties of multilayer magnon insulators
• Magnon Thermal Hall Effect Induced By Symmetric Exchange Interaction
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder