Framework for polarized magnetic neutron scattering from nanoparticle assemblies with vortex-type spin textures

ADAMS, Michael Philipp; SINAGA, Evelyn Pratami; LISCAK, Stefan; MICHELS, Andreas

doi:10.1103/PhysRevB.110.014420

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Framework for polarized magnetic neutron scattering from nanoparticle assemblies with vortex-type spin textures

ADAMS, Michael Philipp; SINAGA, Evelyn Pratami; LISCAK, Stefan et al.

2024 • In Physical Review. B, 110 (1)

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https://hdl.handle.net/10993/64798

DOI
10.1103/PhysRevB.110.014420

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Keywords :

Magnetic Nanoparticles; Neutron Scattering; Vortex Spin Textures

Abstract :

[en] Within the framework of the recently introduced multinanoparticle power-series expansion method for the polarized small-angle neutron scattering (SANS) cross section, we present analytical expressions for the polarized SANS observables arising from dilute nanoparticle assemblies with antisymmetric vortex-type spin structures. We establish connections between the magnetic correlation coefficients and the magnetic field-dependent vortex-axes distribution function, which is related to the random orientations of the magnetocrystalline anisotropy axes of the nanoparticles. Our analytical results are validated through a comparative analysis with micromagnetic simulations. This framework contributes to a comprehensive understanding of polarized magnetic neutron scattering from spherical nanoparticle systems exhibiting vortex-type spin structures.

Disciplines :

Physics

Author, co-author :

ADAMS, Michael Philipp ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

SINAGA, Evelyn Pratami ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Physics and Materials Science > Team Andreas MICHELS

LISCAK, Stefan ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

MICHELS, Andreas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

External co-authors :

Language :

English

Title :

Framework for polarized magnetic neutron scattering from nanoparticle assemblies with vortex-type spin textures

Publication date :

12 July 2024

Journal title :

Physical Review. B

ISSN :

2469-9950

eISSN :

2469-9969

Publisher :

American Physical Society

Volume :

110

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.aps.org/article/10.1103/PhysRevB.110.014420

Funders :

Fonds National de la Recherche Luxembourg

Funding text :

We acknowledge financial support from the National Research Fund of Luxembourg (AFR Grant No. 15639149, CORE Grant DeQuSky, and PRIDE MASSENA Grant).

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M. De, P. S. Ghosh, and V. M. Rotello, Applications of nanoparticles in biology, Adv. Mater. 20, 4225 (2008) 0935-9648 10.1002/adma.200703183.
Y. Diebold and M. Calonge, Applications of nanoparticles in ophthalmology, Prog. Ret. Eye Res. 29, 596 (2010) 1350-9462 10.1016/j.preteyeres.2010.08.002.
S. C. Baetke, T. Lammers, and F. Kiessling, Applications of nanoparticles for diagnosis and therapy of cancer, Br. J. Radiol. 88, 20150207 (2015) 0007-1285 10.1259/bjr.20150207.
W. J. Stark, P. R. Stoessel, W. Wohlleben, and A. Hafner, Industrial applications of nanoparticles, Chem. Soc. Rev. 44, 5793 (2015) 0306-0012 10.1039/C4CS00362D.
X. Han, K. Xu, O. Taratula, and F. Khashayar, Applications of nanoparticles in biomedical imaging, Nanoscale 11, 799 (2019) 2040-3364 10.1039/C8NR07769J.
A. Lak, S. Disch, and P. Bender, Embracing defects and disorder in magnetic nanoparticles, Adv. Sci. 8, 2002682 (2021) 2198-3844 10.1002/advs.202002682.
X. Batlle, C. Moya, M. Escoda-Torroella, Ò. Iglesias, A. Fraile Rodríguez, and A. Labarta, Magnetic nanoparticles: From the nanostructure to the physical properties, J. Magn. Magn. Mater. 543, 168594 (2022) 0304-8853 10.1016/j.jmmm.2021.168594.
J. A. De Toro, M. Vasilakaki, S. S. Lee, M. S. Andersson, P. S. Normile, N. Yaacoub, P. Murray, E. H. Sánchez, P. Muñiz, D. Peddis, R. Mathieu, K. Liu, J. Geshev, K. N. Trohidou, and J. Nogués, Remanence plots as a probe of spin disorder in magnetic nanoparticles, Chem. Mater. 29, 8258 (2017) 0897-4756 10.1021/acs.chemmater.7b02522.
A. Lappas, G. Antonaropoulos, K. Brintakis, M. Vasilakaki, K. N. Trohidou, V. Iannotti, G. Ausanio, A. Kostopoulou, M. Abeykoon, I. K. Robinson, and E. S. Bozin, Vacancy-driven noncubic local structure and magnetic anisotropy tailoring in (Equation presented) nanocrystals, Phys. Rev. X 9, 041044 (2019) 2160-3308 10.1103/PhysRevX.9.041044.
D. Zákutná, D. NiŽňanský, L. C. Barnsley, E. Babcock, Z. Salhi, A. Feoktystov, D. Honecker, and S. Disch, Field dependence of magnetic disorder in nanoparticles, Phys. Rev. X 10, 031019 (2020) 2160-3308 10.1103/PhysRevX.10.031019.
J. T. Batley, M. Nguyen, I. Kamboj, C. Korostynski, E. S. Aydil, and C. Leighton, Quantitative understanding of superparamagnetic blocking in thoroughly characterized Ni nanoparticle assemblies, Chem. Mater. 32, 6494 (2020) 0897-4756 10.1021/acs.chemmater.0c01758.
C. Kons, M.-H. Phan, H. Srikanth, D. A. Arena, Z. Nemati, J. A. Borchers, and K. L. Krycka, Investigating spin coupling across a three-dimensional interface in core/shell magnetic nanoparticles, Phys. Rev. Mater. 4, 034408 (2020) 2475-9953 10.1103/PhysRevMaterials.4.034408.
T. Köhler, A. Feoktystov, O. Petracic, E. Kentzinger, T. Bhatnagar-Schöffmann, M. Feygenson, N. Nandakumaran, J. Landers, H. Wende, A. Cervellino, U. Rücker, A. Kovács, R. E. Dunin-Borkowski, and T. Brückel, Mechanism of magnetization reduction in iron oxide nanoparticles, Nanoscale 13, 6965 (2021) 2040-3364 10.1039/D0NR08615K.
Ò. Iglesias and H. Kachkachi, Single nanomagnet behaviour: surface and finite-size effects, in New Trends in Nanoparticle Magnetism, edited by D. Peddis, S. Laureti, and D. Fiorani (Springer International, Cham, 2021), pp. 3-38.
E. M. Jefremovas, M. de la Fuente Rodríguez, D. Alba Venero, C. Echevarría-Bonet, P. Bender, B. Fåk, J. A. Blanco, and L. Fernández Barquín, Magnetic super-structure and active surface role in the onset of magnetic excitons revealed in (Equation presented) nanoparticles, Commun. Mater. 4, 56 (2023) 2662-4443 10.1038/s43246-023-00384-1.
M. Gerina, M. Sanna Angotzi, V. Mameli, V. Gajdošová, D. N. Rainer, M. Dopita, N.-J. Steinke, D. Aurélio, J. Vejpravová, and D. Zákutná, Size dependence of the surface spin disorder and surface anisotropy constant in ferrite nanoparticles, Nanoscale Adv. 5, 4563 (2023) 2516-0230 10.1039/D3NA00266G.
S. Mühlbauer, D. Honecker, E. A. Périgo, F. Bergner, S. Disch, A. Heinemann, S. Erokhin, D. Berkov, C. Leighton, M. R. Eskildsen, and A. Michels, Magnetic small-angle neutron scattering, Rev. Mod. Phys. 91, 015004 (2019) 0034-6861 10.1103/RevModPhys.91.015004.
A. Michels, Magnetic Small-Angle Neutron Scattering: A Probe for Mesoscale Magnetism Analysis (Oxford University Press, Oxford, 2021).
K. L. Metlov and A. Michels, Magnetic neutron scattering by magnetic vortices in thin submicron-sized soft ferromagnetic cylinders, Sci. Rep. 6, 25055 (2016) 2045-2322 10.1038/srep25055.
A. Michels, D. Mettus, D. Honecker, and K. L. Metlov, Effect of Dzyaloshinski-Moriya interaction on elastic small-angle neutron scattering, Phys. Rev. B 94, 054424 (2016) 2469-9950 10.1103/PhysRevB.94.054424.
I. Mirebeau, N. Martin, M. Deutsch, L. J. Bannenberg, C. Pappas, G. Chaboussant, R. Cubitt, C. Decorse, and A. O. Leonov, Spin textures induced by quenched disorder in a reentrant spin glass: Vortices versus "frustrated" skyrmions, Phys. Rev. B 98, 014420 (2018) 2469-9950 10.1103/PhysRevB.98.014420.
A. A. Mistonov, I. S. Dubitskiy, I. S. Shishkin, N. A. Grigoryeva, A. Heinemann, N. A. Sapoletova, G. A. Valkovskiy, and S. V. Grigoriev, Magnetic structure of the inverse opal-like structures: Small angle neutron diffraction and micromagnetic simulations, J. Magn. Magn. Mater. 477, 99 (2019) 0304-8853 10.1016/j.jmmm.2019.01.016.
L. G. Vivas, R. Yanes, D. Berkov, S. Erokhin, M. Bersweiler, D. Honecker, P. Bender, and A. Michels, Toward understanding complex spin textures in nanoparticles by magnetic neutron scattering, Phys. Rev. Lett. 125, 117201 (2020) 0031-9007 10.1103/PhysRevLett.125.117201.
V. D. Zaporozhets, Y. Oba, A. Michels, and K. L. Metlov, Small-angle neutron scattering by spatially inhomogeneous ferromagnets with a nonzero average uniaxial anisotropy, J. Appl. Crystallogr. 55, 592 (2022) 1600-5767 10.1107/S160057672200437X.
C. Kons, K. L. Krycka, J. Robles, N. Ntallis, M. Pereiro, M.-H. Phan, H. Srikanth, J. A. Borchers, and D. A. Arena, Influence of hard/soft layer ordering on magnetization reversal of bimagnetic nanoparticles: Implications for biomedical/theranostic applications, ACS Appl. Nano Mater. 6, 10986 (2023) 2574-0970 10.1021/acsanm.3c00510.
V. Ukleev, F. Ajejas, A. Devishvili, A. Vorobiev, N.-J. Steinke, R. Cubitt, C. Luo, R.-M. Abrudan, F. Radu, V. Cros, N. Reyren, and J. S. White, Observation by SANS and PNR of pure Néel-type domain wall profiles and skyrmion suppression below room temperature in magnetic (Equation presented) multilayers, STAM Methods 25, 2315015 (2024) 10.1080/14686996.2024.2315015.
E. P. Sinaga, M. P. Adams, E. H. Hasdeo, and A. Michels, Neutron-scattering signature of the Dzyaloshinskii-Moriya interaction in nanoparticles, arXiv:2402.00558.
M. P. Adams, E. P. Sinaga, H. Kachkachi, and A. Michels, Signature of surface anisotropy in the spin-flip neutron scattering cross section of spherical nanoparticles: Atomistic simulations and analytical theory, Phys. Rev. B 109, 024429 (2024) 2469-9950 10.1103/PhysRevB.109.024429.
M. R. Eskildsen, E. M. Forgan, and H. Kawano-Furukawa, Vortex structures, penetration depth and pairing in iron-based superconductors studied by small-angle neutron scattering, Rep. Prog. Phys. 74, 124504 (2011) 0034-4885 10.1088/0034-4885/74/12/124504.
C. Donnelly, K. L. Metlov, V. Scagnoli, M. Guizar-Sicairos, M. Holler, N. S. Bingham, J. Raabe, L. J. Heyderman, N. R. Cooper, and S. Gliga, Experimental observation of vortex rings in a bulk magnet, Nat. Phys. 17, 316 (2021) 1745-2473 10.1038/s41567-020-01057-3.
M. Bersweiler, Y. Oba, E. Pratami Sinaga, I. Peral, I. Titov, M. P. Adams, V. Rai, K. L. Metlov, and A. Michels, Fingerprint of vortexlike flux closure in an isotropic Nd-Fe-B bulk magnet, Phys. Rev. B 108, 094434 (2023) 2469-9950 10.1103/PhysRevB.108.094434.
A. S. Samardak, A. V. Davydenko, A. V. Ognev, Y. S. Jeon, Y. S. Choi, and Y. K. Kim, Size-dependent changeover in magnetization reversal mode of self-assembled one-dimensional chains of spherical (Equation presented) nanoparticles, Jpn. J. Appl. Phys. 55, 100303 (2016) 0021-4922 10.7567/JJAP.55.100303.
N. A. Usov, M. S. Nesmeyanov, and V. P. Tarasov, Magnetic vortices as efficient nano heaters in magnetic nanoparticle hyperthermia, Sci. Rep. 8, 1224 (2018) 2045-2322 10.1038/s41598-017-18162-8.
G. Niraula, D. Toneto, G. F. Goya, G. Zoppellaro, J. A. H. Coaquira, D. Muraca, J. C. Denardin, T. P. Almeida, M. Knobel, A. I. Ayesh, and S. K. Sharma, Observation of magnetic vortex configuration in non-stoichiometric (Equation presented) nanospheres, Nanoscale Adv. 5, 5015 (2023) 2516-0230 10.1039/D3NA00433C.
C. Moya, M. Escoda-Torroella, J. Rodríguez-Álvarez, A. I. Figueroa, Í. García, I. B. Ferrer-Vidal, A. Gallo-Cordova, M. Puerto Morales, L. Aballe, A. Fraile Rodríguez, A. Labarta, and X. Batlle, Unveiling the crystal and magnetic texture of iron oxide nanoflowers, Nanoscale 16, 1942 (2024) 2040-3364 10.1039/D3NR04608G.
Y. Liu and N. Nagaosa, Current-induced creation of topological vortex rings in a magnetic nanocylinder, Phys. Rev. Lett. 132, 126701 (2024) 0031-9007 10.1103/PhysRevLett.132.126701.
See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.110.014420 for further details on the numerical micromagnetic calculations and on the MNPSE method used for the analytical calculation of the spin-flip SANS cross section and chiral function of vortex-carrying nanoparticles. We also provide a video clip that features the field evolution of the spin structure, the 2D and 1D spin-flip SANS cross section, as well as the pair-distance distribution function along the hysteresis loop; the analytical theory is fitted to the 2D numerical SANS results.
M. P. Adams, A. Michels, and H. Kachkachi, Magnetic neutron scattering from spherical nanoparticles with Néel surface anisotropy: atomistic simulations, J. Appl. Crystallogr. 55, 1488 (2022) 1600-5767 10.1107/S1600576722008949.
K. L. Krycka, J. A. Borchers, R. A. Booth, S. A. Majetich, Y. Ijiri, K. Hasz, and J. J. Rhyne, Origin of surface canting within (Equation presented) nanoparticles, Phys. Rev. Lett. 113, 147203 (2014) 0031-9007 10.1103/PhysRevLett.113.147203.
D. Honecker, A. Ferdinand, F. Döbrich, C. D. Dewhurst, A. Wiedenmann, C. Gómez-Polo, K. Suzuki, and A. Michels, Longitudinal polarization analysis in small-angle neutron scattering, Eur. Phys. J. B 76, 209 (2010) 1434-6028 10.1140/epjb/e2010-00191-5.
A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, and B. Van Waeyenberge, The design and verification of MuMax3, AIP Adv. 4, 107133 (2014) 2158-3226 10.1063/1.4899186.
J. Leliaert, M. Dvornik, J. Mulkers, J. De Clercq, M. V. Milošević, and B. Van Waeyenberge, Fast micromagnetic simulations on (Equation presented)-recent advances made with (Equation presented), J. Phys. D 51, 123002 (2018) 0022-3727 10.1088/1361-6463/aaab1c.
In the numerical micromagnetic simulations we use the materials parameters for (cubic) iron, and we also consider the case of a random uniaxial anisotropy (see [37]).
E. Pratami Sinaga, M. P. Adams, M. Bersweiler, L. G. Vivas, E. H. Hasdeo, J. Leliaert, P. Bender, D. Honecker, and A. Michels, Micromagnetic simulation of neutron scattering from spherical nanoparticles: Effect of pore-type defects, Phys. Rev. B 107, 014416 (2023) 2469-9950 10.1103/PhysRevB.107.014416.
S. V. Maleev, Polarized neutron scattering in magnets, Phys. Usp. 45, 569 (2002) 1063-7869 10.1070/PU2002v045n06ABEH001017.
M. P. Adams, E. P. Sinaga, and A. Michels, On the angular anisotropy of the randomly averaged magnetic neutron scattering cross section of nanoparticles, IUCrJ 10, 261 (2023) 2052-2525 10.1107/S205225252300180X.