Stabilization of walls in notched ferromagnetic nanowires

In this paper, we study a one-dimensional model of ferromagnetic nanowire featuring notches. We prove the existence of stable wall profiles even under a small applied magnetic field, with the walls localized in notches. Moreover, in order to illustrate domain-wall depinning by an applied magnetic field, we prove the non-existence of stationary wall profiles in the presence of a large applied magnetic field.

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Publication Details

Journal
ESAIM. Mathematical modelling and numerical analysis
Published
2025-02-11
DOI
https://doi.org/10.1051/m2an/2025008
Primary Topic
Magnetic properties of thin films
Type
article
Field-Weighted Citation Impact
0.00

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article

Stabilization of walls in notched ferromagnetic nanowires

Gilles Carbou, David Sánchez
ESAIM. Mathematical modelling and numerical analysis
Magnetic properties of thin films
article

Stabilization of walls in notched ferromagnetic nanowires

Gilles Carbou, David Sánchez
article en

Abstract

In this paper, we study a one-dimensional model of ferromagnetic nanowire featuring notches. We prove the existence of stable wall profiles even under a small applied magnetic field, with the walls localized in notches. Moreover, in order to illustrate domain-wall depinning by an applied magnetic field, we prove the non-existence of stationary wall profiles in the presence of a large applied magnetic field.

ESAIM. Mathematical modelling and numerical analysisVol. 59(2)
Centre National de la Recherche Scientifique (FR), Université Toulouse III - Paul Sabatier (FR), Université de Pau et des Pays de l'Adour (FR), Institut National des Sciences Appliquées de Toulouse (FR), Toulouse Mathematics Institute (FR), Institut de Mathématiques de Toulouse (FR)
Agence Nationale de la Recherche
Sustainable cities and communities
Openalex Percentile: Top 100%
Magnetic properties of thin films
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