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Ultrafast domain wall motion in hexagonal magnetostrictive materials: role of inertial damping, magnetostriction, and dry-friction dissipation

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Abstract

This article investigates the dynamic features of domain walls in a bilayer piezoelectric-magnetostrictive heterostructure under the influence of piezo-induced strains, inertial damping, and dry friction dissipation. We assume that the magnetostrictive material belongs to the transversely isotropic hexagonal crystal. The analysis is carried out within the framework of the inertial Landau-Lifshitz-Gilbert equation, which describes the ultrafast evolution of magnetization inside the magnetostrictive materials. By employing the classical traveling wave ansatz, the study explores how various factors such as magnetoelasticity, dry friction, inertial damping, crystal symmetry, and a tunable external magnetic field characterize the motion of the magnetic domain walls in both steady-state and precessional dynamic regimes. The results present valuable insights into how these key parameters can effectively modulate dynamic features such as domain wall width, threshold, Walker breakdown, and domain wall velocity. The obtained analytical results are further numerically illustrated, and a qualitative comparison with recent observations is also presented.

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Abbreviations

DW:

Domain wall

PES:

Piezoelectric strip

FMS:

Ferromagnetic strip

WB:

Walker breakdown

MS:

Magnetostrictive

iLLG:

inertial Landau-Lifshitz-Gilbert

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Funding

Sharad Dwivedi would like to thank the Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, and the National Institute of Technology Andhra Pradesh for the financial support through Projects CRG/2019/003101 and NITAP/SDG/15/2020, respectively.

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  1. Department of Mathematics, School of Sciences, National Institute of Technology Andhra Pradesh, Tadepalligudem, 534 101, India

    Sarabindu Dolui, Ambalika Halder & Sharad Dwivedi

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  1. Sarabindu Dolui
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Dolui, S., Halder, A. & Dwivedi, S. Ultrafast domain wall motion in hexagonal magnetostrictive materials: role of inertial damping, magnetostriction, and dry-friction dissipation. Acta Mech (2024). https://doi.org/10.1007/s00707-024-04069-9

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