D -Wave Phonon Angular Momentum Texture in Altermagnets by Magnon-Phonon Hybridization

In altermagnets, the magnon bands are anisotropically spin split in reciprocal space without relativistic or dipolar spin-spin interactions. In this Letter, we theoretically study magnons and phonons coupled by spin-lattice interaction in a two-dimensional square-lattice d-wave altermagnet. We show that phonon-chirality-selective magnon-phonon hybridization can be caused by interfacial Dzyaloshinskii-Moriya interaction leading to the emergence of hybrid quasiparticles that possess finite phonon angular momentum. These hybrid quasiparticles are called magnon polarons and consist of spin-polarized magnons and chiral phonons. Their phonon angular momentum texture follows the d-wave character of the magnon spin texture, opening up the possibility of phononic counterparts to the electronic response effects in altermagnets, such as a phonon angular momentum splitter effect, i.e., the generation of a transverse phonon angular momentum current induced by a temperature gradient-the bosonic analog of the spin-splitter effect.