Anti-chiral edge states in Heisenberg ferromagnet on a honeycomb lattice

Abstract

We demonstrate the emergence of anti-chiral edge states in a Heisenberg ferromagnet with Dzyaloshinskii-Moriya interaction(DMI) on a honeycomb lattice with in-equivalent sub-lattices. The DMI, which acts between atoms of the same species, differs in magnitude for the two sub-lattices, resulting in a shifting of the energy of the magnon bands in opposite directions at the two Dirac points. The chiral symmetry is broken and for sufficiently strong asymmetry, the band shifting leads to anti-chiral edge states (in addition to the normal chiral edge states) in a rectangular strip where the magnon current propagates in the same direction along the two edges. This is compensated by a counter-propagating bulk current that is enabled by the broken chiral symmetry. We analyze the resulting magnon current profile across the width of the system in details and suggest realistic experimental probes to detect them. Finally, we propose a material that can potentially exhibit such anti-chiral edge states.

12 pages, 8 figures

References in corpus (24)

• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• Observation of the Magnon Hall Effect
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Spin Nernst Effect of Magnons in Collinear Antiferromagnets
• 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
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7
• Magnetic Correlations in the Quasi-2D Semiconducting Ferromagnet CrSiTe${}_3$
• Antichiral edge states in a modified Haldane nanoribbon
• Dirac magnons in honeycomb ferromagnets
• Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
• Thermal Hall Effect of Spins in a Paramagnet
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Anti-chiral edge states in an exciton polariton strip
• Floquet Topological Magnons
• Realizing Haldane Model in Fe-based Honeycomb Ferromagnetic Insulators
• Tunable Circular Dichroism and Valley Polarization in the Modified Haldane Model
• Spin Nernst effect in the Paramagnetic Regime of An Antiferromagnetic Insulator
• Liquid-gas and other unusual thermal phase transitions in some large-N magnets
• Topological Magnon Insulator with a Kekule Bond Modulation
• Detecting End-States of Topological Quantum Paramagnets via Spin Hall Noise Spectroscopy

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• Bulk-edge correspondence in two-dimensional topological semimetals: A transfer matrix study of antichiral edge modes
• Weyl-triplons in SrCu2(BO3)2
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• Finite-temperature topological magnons in honeycomb ferromagnets with sublattice asymmetries
• Amplifying the antiferromagnetic spin Seebeck effect through topological magnons
• Topological phases of electrons induced by electron-magnon interactions
• U(1)-Symmetry protected Dirac nodal loops of triplons in SrCu2(BO3)2