M. Zobel, M. Appel, S. L. J. Thomä, M. Plekhanov, A. Magerl
{"title":"Separating spin dynamics modes in iron oxide nanoparticles","authors":"M. Zobel, M. Appel, S. L. J. Thomä, M. Plekhanov, A. Magerl","doi":"10.1103/physrevb.111.l060406","DOIUrl":null,"url":null,"abstract":"The different modes of the spin dynamics in ferrimagnetic magnetite iron oxide nanoparticles (Fe</a:mi>3</a:mn></a:msub>O</a:mi>4</a:mn></a:msub></a:mrow></a:math>) have been addressed by µeV neutron spectroscopy for particles with a diameter of 75 ± 18 Å. In an approach building on intensity considerations over a wide range of wave vectors <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\"><d:mrow><d:mi>Q</d:mi></d:mrow></d:math> in combination with diffusion dynamics, we identify three magnetic modes prevailing in distinct <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\"><e:mrow><e:mi>Q</e:mi></e:mrow></e:math> regimes up to 1.7 <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\"><f:msup><f:mrow><f:mi>Å</f:mi></f:mrow><f:mrow><f:mo>−</f:mo><f:mn>1</f:mn></f:mrow></f:msup></f:math>: (i) Evaluating the structure factor of quasielastic magnetic intensity enables to identify uniquely longitudinal superparamagnetic spin fluctuations in the small <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\"><g:mrow><g:mi>Q</g:mi></g:mrow></g:math> regime <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\"><h:mrow><h:mo><</h:mo><h:mn>0.5</h:mn><h:msup><h:mrow><h:mrow><h:mspace width=\"4.pt\"/><h:mtext>Å</h:mtext></h:mrow></h:mrow><h:mrow><h:mo>−</h:mo><h:mn>1</h:mn></h:mrow></h:msup></h:mrow></h:math>, (ii) individual spin relaxation with quasielastic intensity albeit of low intensity is present in two <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\"><j:mrow><j:mi>Q</j:mi></j:mrow></j:math> ranges of 0.5 <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\"><k:mrow><k:msup><k:mrow><k:mrow><k:mspace width=\"4.pt\"/><k:mtext>Å</k:mtext></k:mrow></k:mrow><k:mrow><k:mo>−</k:mo><k:mn>1</k:mn></k:mrow></k:msup><k:mo><</k:mo><k:mi>Q</k:mi><k:mo><</k:mo><k:mn>1.0</k:mn><k:msup><k:mrow><k:mrow><k:mspace width=\"4.pt\"/><k:mtext>Å</k:mtext></k:mrow></k:mrow><k:mrow><k:mo>−</k:mo><k:mn>1</k:mn></k:mrow></k:msup></k:mrow></k:math> and 1.5 <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\"><n:mrow><n:msup><n:mrow><n:mrow><n:mspace width=\"4.pt\"/><n:mtext>Å</n:mtext></n:mrow></n:mrow><n:mrow><n:mo>−</n:mo><n:mn>1</n:mn></n:mrow></n:msup><n:mo><</n:mo><n:mi>Q</n:mi><n:mo><</n:mo><n:mn>1.7</n:mn><n:msup><n:mrow><n:mrow><n:mspace width=\"4.pt\"/><n:mtext>Å</n:mtext></n:mrow></n:mrow><n:mrow><n:mo>−</n:mo><n:mn>1</n:mn></n:mrow></n:msup></n:mrow></n:math>, and (iii) a surprisingly low-energy inelastic spin excitation of 23.2 µeV in magnetite IONPs is found at 150 K in the magnetic Bragg region between 1.1 <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\"><q:mrow><q:msup><q:mrow><q:mi>Å</q:mi></q:mrow><q:mrow><q:mo>−</q:mo><q:mn>1</q:mn></q:mrow></q:msup><q:mo><</q:mo><q:mi>Q</q:mi><q:mo><</q:mo><q:mn>1.4</q:mn><q:msup><q:mrow><q:mrow><q:mspace width=\"4.pt\"/><q:mtext>Å</q:mtext></q:mrow></q:mrow><q:mrow><q:mo>−</q:mo><q:mn>1</q:mn></q:mrow></q:msup></q:mrow></q:math>. Its temperature dependence suggests a collapse of the coherent transverse magnetic fluctuations and a transition into a generalized diffusive mode at about 500 K. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"2 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevb.111.l060406","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
The different modes of the spin dynamics in ferrimagnetic magnetite iron oxide nanoparticles (Fe3O4) have been addressed by µeV neutron spectroscopy for particles with a diameter of 75 ± 18 Å. In an approach building on intensity considerations over a wide range of wave vectors Q in combination with diffusion dynamics, we identify three magnetic modes prevailing in distinct Q regimes up to 1.7 Å−1: (i) Evaluating the structure factor of quasielastic magnetic intensity enables to identify uniquely longitudinal superparamagnetic spin fluctuations in the small Q regime <0.5Å−1, (ii) individual spin relaxation with quasielastic intensity albeit of low intensity is present in two Q ranges of 0.5 Å−1<Q<1.0Å−1 and 1.5 Å−1<Q<1.7Å−1, and (iii) a surprisingly low-energy inelastic spin excitation of 23.2 µeV in magnetite IONPs is found at 150 K in the magnetic Bragg region between 1.1 Å−1<Q<1.4Å−1. Its temperature dependence suggests a collapse of the coherent transverse magnetic fluctuations and a transition into a generalized diffusive mode at about 500 K. Published by the American Physical Society2025
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