Magnetization fluctuations and magnetic aftereffect probed via the anomalous Hall effect

Fuente: arXiv
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Autores principales: Nabben, Nadine, Sala, Giacomo, Nowak, Ulrich, Krüger, Matthias, Goennenwein, Sebastian T. B.
Formato: Preprint
Publicado: 2024
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author Nabben, Nadine
Sala, Giacomo
Nowak, Ulrich
Krüger, Matthias
Goennenwein, Sebastian T. B.
author_facet Nabben, Nadine
Sala, Giacomo
Nowak, Ulrich
Krüger, Matthias
Goennenwein, Sebastian T. B.
contents Taking advantage of the anomalous Hall effect, we electrically probe low-frequency magnetization fluctuations at room temperature in a thin ferromagnetic Pt/Co/AlO$_x$ layer stack with perpendicular magnetic anisotropy. We observe a strong enhancement of the Hall voltage fluctuations within the hysteretic region of the magnetization loop. Analyzing both the temporal evolution of the anomalous Hall voltage and its frequency-dependent noise power density, we identify two types of magnetic noise: abrupt changes in the magnetic domain configuration, evident as Barkhausen-like steps in the Hall voltage time trace, yield a noise power density spectrum scaling with frequency as $1/f^β$ with $β\approx 1.9$. In contrast, quasi-stationary magnetization configurations are connected with a magnetic noise power density with an exponent $β\approx 0.9$. The observation of Barkausen steps and relaxation effects shows that the magnetic system is in a non-stationary state in the hysteresis region, such that the fluctuation-dissipation theorem cannot be expected to hold. However, the time-dependent change in the Hall voltage for constant magnetic field strength resembles the integrated noise power.
format Preprint
id arxiv_https___arxiv_org_abs_2402_18436
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Magnetization fluctuations and magnetic aftereffect probed via the anomalous Hall effect
Nabben, Nadine
Sala, Giacomo
Nowak, Ulrich
Krüger, Matthias
Goennenwein, Sebastian T. B.
Mesoscale and Nanoscale Physics
Taking advantage of the anomalous Hall effect, we electrically probe low-frequency magnetization fluctuations at room temperature in a thin ferromagnetic Pt/Co/AlO$_x$ layer stack with perpendicular magnetic anisotropy. We observe a strong enhancement of the Hall voltage fluctuations within the hysteretic region of the magnetization loop. Analyzing both the temporal evolution of the anomalous Hall voltage and its frequency-dependent noise power density, we identify two types of magnetic noise: abrupt changes in the magnetic domain configuration, evident as Barkhausen-like steps in the Hall voltage time trace, yield a noise power density spectrum scaling with frequency as $1/f^β$ with $β\approx 1.9$. In contrast, quasi-stationary magnetization configurations are connected with a magnetic noise power density with an exponent $β\approx 0.9$. The observation of Barkausen steps and relaxation effects shows that the magnetic system is in a non-stationary state in the hysteresis region, such that the fluctuation-dissipation theorem cannot be expected to hold. However, the time-dependent change in the Hall voltage for constant magnetic field strength resembles the integrated noise power.
title Magnetization fluctuations and magnetic aftereffect probed via the anomalous Hall effect
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2402.18436