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    Self-consistent partial-wave formalism for magnetoelastic waves in layered media

    L. Giovannini*

    • Dipartimento di Fisica e Scienze della Terra, Università di Ferrara, Via G. Saragat 1, Ferrara I-44122, Italy

    • *Contact author: giovannini@fe.infn.it

    Phys. Rev. B 114, 134419 – Published 15 September, 2026

    DOI: https://doi.org/10.1103/4z8p-8851

    Abstract

    A theoretical model for calculating the linear coupled elastic and magnetic modes of a layered structure is presented. Based on the partial wave formalism, which has been previously employed to treat acoustic and magnetic problems separately, this method incorporates the magnetoelastic interaction into the equations of motion of both subsystems to achieve a self-consistent solution. The dependence of all dynamic variables on the out-of-plane direction is fully taken into account, alongside the main physical interactions: piezoelectricity, bulk and interface anisotropies, external magnetic fields, exchange, and damping. The frequencies of the discrete spectrum are determined as a function of the parallel wave vector and system parameters, yielding the corresponding mode profiles and energy contributions. The model is then applied to two systems characterized by thick and thin films, which have been previously investigated experimentally in the literature. Furthermore, a model calculation is presented to illustrate a magnetoelastically driven hybridization between Sezawa and Love-type modes in an elastically isotropic medium.

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