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

Hannah Bendin1,2, Alexander Mook3,4, Ingrid Mertig1, and Robin R. Neumann3,4,1,*

  • *Contact author: rneumann@uni-mainz.de

Phys. Rev. Lett. 137, 056701 – Published 27 July, 2026

DOI: https://doi.org/10.1103/r43h-ch8r

Abstract

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.

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