Topological magnon in exchange frustration driven incommensurate spin spiral of a kagome lattice YMn${}_6$Sn${}_6$

Abstract

YMn${}_6$Sn${}_6$ consists of two types of Mn-based kagome planes stacked along $c$-axis having a complex magnetic interactions. We report a spin reconstruction in YMn${}_6$Sn${}_6$ from ferromagnet (FM) into a combination of two incommensurate spin spirals (SSs) originating from two different type of Mn kagome planes driven by frustrated magnetic exchanges along the $c$-axis with inclusion of Hubbard U. The pitch angle and wave vector of the incommensurate SSs are $\sim$89.3${}^{\circ }$ and $\sim$ (0 0 0.248) respectively which are in excellent agreement with experiment. We employed an effective model Hamiltonian constructed out of exchange interactions to capture experimentally observed non-equivalent nature of the two incommensurate SSs which also explain FM-SS crossover due to antiferromagntic spin exchange with correlation. We further report the existence of topological magnon with spin-orbit coupling in incommensurate SS phase of YMn${}_6$Sn${}_6$ by calculating the topological invariants and Berry curvature profile. The location of Dirac magnon in energy landscape at 73 meV matches with another experimental report. We demonstrate the accuracy of our results by highlighting experimental features in YMn${}_6$Sn${}_6$.

References in corpus (28)

• Quantum Spin Liquid States
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
• Strong, anisotropic anomalous Hall effect and spin Hall effect in chiral antiferromagnetic compounds Mn${}_{3}X$ ($X$ = Ge, Sn, Ga, Ir, Rh and Pt)
• First- principle calculations of magnetic interactions in correlated systems
• Novel magnetic states and nematic spin chirality in the kagome lattice metal YMn${}_6$Sn${}_6$
• Spin waves in the Frustrated Kagome Lattice Antiferromagnet KFe3(OH)6(SO4)2
• Three-Dimensional Topological Insulators in I-III-VI${}_2$ and II-IV-V${}_2$ Chalcopyrite Semiconductors
• In-plane magnetic field induced double fan spin structure with $\text{c}$-axis component in metallic kagome antiferromagnet YMn${}_6$Sn${}_6$
• Near-room-temperature giant topological Hall effect in antiferromagnetic kagome metal YMn6Sn6
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Flat bands with higher Chern number in pyrochlore slabs
• Magnetic Excitations in Non-Collinear Antiferromagnetic Weyl Semimetal $\mathsf{M}{\mathsf{n}}_3\mathsf{Sn}$
• Topological magnon bands in a room temperature Kagome magnet
• Chiral properties of the zero-field spiral state and field-induced magnetic phases of the itinerant kagome metal YMn${}_6$Sn${}_6$
• Fermion-boson many-body interplay in a frustrated kagome paramagnet
• Anomalous Hall effect in distorted kagome magnets (Nd, Sm)Mn${}_6$Sn${}_6$
• Magnetic Structure and Magnetization of Helical Antiferromagnets in High Magnetic Fields Perpendicular to the Helix Axis at Zero Temperature
• Role of time reversal symmetry and tilting in circular photogalvanic responses
• Non-Collinear Spin Current for Switching of Chiral Magnetic Textures
• Magnetic interactions in strongly correlated systems: spin and orbital contributions
• Electronic structure and unconventional non-linear response in double Weyl semimetal SrSi${}_2$
• Effect of chirality imbalance on Hall transport of PrRhC${}_2$

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