Topological magnons on the triangular kagome lattice

We present the topology of magnons on triangular kagome lattice (TKL) by calculating its Berry curvature, Chern number, and edge states. In addition to ferromagnetic state, TKL hosts ferrimagnetic ground state as two sublattices can couple with each other either ferromagnetically or antiferromagnetically. Using Holstein-Primakoff (HP) boson theory Green's function approach, we find that has a rich topological band structure added high numbers compared honeycomb lattices. The magnon current allows convenient calculation thermal Hall coefficients orbital angular momentum gives correlation Einstein--de Haas effect. apply calculations derive gyromagnetic ratio showing nonzero effect in zero-temperature limit. Our results render potential platform for quantum magnonics applications including high-precision mechanical sensors information transmission.