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We theoretically study magnon-phonon hybrid excitations (magnon-polarons) intwo-dimensional antiferromagnets on a honeycomb lattice. With an in-planeDzyaloshinskii-Moriya interaction (DMI) allowed from mirror symmetry breakingfrom phonons, we find non-trivial Berry curvature around the anti-crossingrings among magnon and both optical and acoustic phonon bands, which gives riseto finite Chern numbers. We show that the Chern numbers of the magnon-polaronbands can be manipulated by changing the magnetic field direction or strength.We evaluate the thermal Hall conductivity reflecting the non-trivial Berrycurvatures of magnon-polarons and propose a valley Hall effect resulting fromspin-induced chiral phonons as a possible experimental signature. Our studycomplements prior work on magnon-phonon hybridized systems without opticalphonons and suggests possible applications in spin caloritronics withtopological magnons and chiral phonons.

Dzyaloshinskii-Moriya Induced Topological Magnon-Phonon Hybridization in 2D Antiferromagnetic Insulators with Tunable Chern Numbers