Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction

Abstract

Topological magnon bands and magnon Hall effect in insulating collinear ferromagnets are induced by the Dzyaloshinskii-Moriya interaction (DMI) even at zero magnetic field. In the geometrically frustrated star lattice, a coplanar/noncollinear $\mathbf{q}=0$ magnetic ordering may be present due to spin frustration. This magnetic structure, however, does not exhibit topological magnon effects even with DMI in contrast to collinear ferromagnets. We show that a magnetic field applied perpendicular to the star plane induces a non-coplanar spin configuration with nonzero spin scalar chirality, which provides topological effects without the need of DMI. The non-coplanar spin texture originates from the topology of the spin configurations and does not need the presence of DMI or magnetic ordering, which suggests that this phenomenon may be present in the chiral spin liquid phases of frustrated magnetic systems. We propose that these anomalous topological magnon effects can be accessible in Polymeric Iron (III) Acetate --- a star-lattice antiferromagnet with both spin frustration and long-range magnetic ordering.

arXiv comment5 pages, 4 figures. Published version

References in corpus (28)

• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Observation of the Magnon Hall Effect
• Theory of Thermal Hall Effect in Quantum Magnets
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological Magnon Insulator in Insulating Ferromagnet
• An exact chiral spin liquid with non-Abelian anyons
• The thermal Hall effect of spin excitations in a Kagome magnet
• Rotational motion of magnon and thermal Hall effect
• Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7
• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Spin waves in the Frustrated Kagome Lattice Antiferromagnet KFe3(OH)6(SO4)2
• Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
• Thermal Hall Effect of Spins in a Paramagnet
• Phase Diagram and Spin Dynamics in Volborthite with a Distorted Kagome Lattice
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S=3/2 Antiferromagnetic Honeycomb Lattice Compound Bi3Mn4O12(NO3)
• Absence of magnetic order for the spin-half Heisenberg antiferromagnet on the star lattice
• Topological Insulators on the Decorated Honeycomb Lattice
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Quantum topological Hall effect and noncoplanar antiferromagnetism in K${}_{0.5}$RhO${}_2$
• Dzyaloshinsky-Moriya interaction in vesignieite: A route to freezing in a quantum kagome antiferromagnet
• Competing quantum paramagnetic ground states of the Heisenberg antiferromagnet on the star lattice
• Strong quantum effects in an almost classical antiferromagnet on a kagome lattice
• High-field Phase Diagram and Spin Structure of Volborthite Cu3V2O7(OH)2/2H2O

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• Magnon Spin-Momentum Locking: Various Spin Vortices and Dirac Magnons in Noncollinear Antiferromagnets
• Topological Phases in Magnonics
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• Magnon topology and thermal Hall effect in trimerized triangular lattice antiferromagnet
• Floquet Topological Magnons
• Noncollinear Antiferromagnetic Haldane Magnon Insulator
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Thermal Hall responses in frustrated honeycomb spin systems
• Magnonic triply-degenerate nodal points
• The topological magnon bands in the Flux state in Sashtry-Sutherland lattice
• Einstein-de Haas Effect of Topological Magnons
• Nonreciprocal superposition state in antiferromagnetic optospintronics
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions
• Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement
• Magnon topology driven by altermagnetism
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields