- Open Access
Reduced vortex descriptors linking polycrystallinity in magnetic nanoparticles with polarized magnetic small-angle neutron scattering
Phys. Rev. Research 8, 043133 – Published 5 November, 2026
DOI: https://doi.org/10.1103/mhfg-6sjm
Abstract
Analytical vortex models reduce polarized magnetic small-angle neutron scattering (SANS) from nanoparticle ensembles to a small set of texture descriptors. In this work, we apply this reduction to micromagnetic simulations of polycrystalline iron oxide nanoflowers at a fixed particle size and examine how a controlled parametrization of multigrain disorder is reflected in the remanent descriptors. The particles are represented by explicit Voronoi microstructures, and intraparticle disorder is varied through the intergrain exchange coupling and anisotropy-axis coherence. Fitting each remanent magnetization state to a hyperbolic vortex model reveals a predominantly two-channel organization: The intergrain exchange coupling is associated mainly with the radial vortex profile, whereas the anisotropy-axis coherence is associated mainly with the orientational moment of the vortex-axis distribution. The normalized spin-flip SANS cross sections are accurately represented by independent fits of the analytical linear-vortex SANS expression obtained from the first-order expansion of the hyperbolic profile. The fitted orientational descriptor agrees closely with its independent real-space estimate, whereas the corresponding radial descriptors exhibit a strong global nonlinear relation. This separation identifies which information from the micromagnetic vortex textures is robustly retained by the reduced analytical representation.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (36)
- U. Nowak, O. N. Mryasov, R. Wieser, K. Guslienko, and R. W. Chantrell, Spin dynamics of magnetic nanoparticles: Beyond Brown's theory, Phys. Rev. B 72, 172410 (2005).
- E. M. Jefremovas, L. Gandarias, I. Rodrigo, L. Marcano, C. Gruttner, J. A. Garcia, E. Garayo, I. Orue, A. Garcia-Prieto, A. Muela, M. L. Fernandez-Gubieda, J. Alonso, and L. F. Barquin, Nanoflowers versus magnetosomes: Comparison between two promising candidates for magnetic hyperthermia therapy, IEEE Access 9, 99552 (2021).
- W. Mekseriwattana, N. Silvestri, R. Brescia, E. Tiryaki, J. Barman, F. G. Mohammadzadeh, N. Jarmouni, and T. Pellegrino, Shape-control in microwave-assisted synthesis: A fast route to size-tunable iron oxide nanocubes with benchmark magnetic heat losses, Adv. Funct. Mater. 35, 2413514 (2025).
- J. Borchers, K. Krycka, B. Bosch-Santos, E. de Lima Correa, A. Sharma, H. Carlton, Y. Dang, M. Donahue, C. Grüttner, R. Ivkov, and C. L. Dennis, Magnetic anisotropy dominates over physical and magnetic structure in performance of magnetic nanoflowers, Small Struct. 6, 2400410 (2025).
- A.-H. Lu, E. L. Salabas, and F. Schüth, Magnetic nanoparticles: Synthesis, protection, functionalization, and application, Angew. Chem. Int. Ed. 46, 1222 (2007).
- P. Hugounenq, M. Levy, D. Alloyeau, L. Lartigue, E. Dubois, V. Cabuil, C. Ricolleau, S. Roux, C. Wilhelm, F. Gazeau, and R. Bazzi, Iron oxide monocrystalline nanoflowers for highly efficient magnetic hyperthermia, J. Phys. Chem. C 116, 15702 (2012).
- W. Li, Z. Liang, Z. Lu, X. Tao, K. Liu, H. Yao, and Y. Cui, Magnetic field-controlled lithium polysulfide semiliquid battery with ferrofluidic properties, Nano Lett. 15, 7394 (2015).
- 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 nanocrystals, Phys. Rev. X 9, 041044 (2019).
- A. Lak, S. Disch, and P. Bender, Embracing defects and disorder in magnetic nanoparticles, Adv. Sci. 8, 2002682 (2021).
- B. G. Prajapati, K. Verma, S. Sharma, and D. U. Kapoor, Transforming cancer detection and treatment with nanoflowers, Med. Oncol. 41, 295 (2024).
- E. M. Jefremovas, L. Calus, and J. Leliaert, Coercivity-size map of magnetic nanoflowers: Spin disorder tunes the vortex reversal mechanism and tailors the hyperthermia sweet spot, Small Sci. 6, e202500490 (2026).
- J. Leliaert and E. M. Jefremovas, Engineering micro-disorder for macro-performance in magnetic nanoparticles, arXiv:2607.28812.
- H. Gavilán, A. Gallo-Cordova, M. Rábade-Chediak, A. Páez-Rodríguez, M. d. P. Morales, and L. Gutiérrez, Magnetic hyperthermia in focus: Emerging non-cancer applications of magnetic nanoparticles, Nanoscale 17, 27734 (2025).
- T. Zanette, A. García-Zaragoza, J. Mazarío, J. Santiago Martinez, B. Chaudret, C. Cerezo-Navarrete, and P. Oña-Burgos, Carbon-encapsulated FeNi nanoparticles for efficient magnetically induced levulinic acid hydrogenation, Green Chem. 27, 11438 (2025).
- P. Bender, E. Wetterskog, D. Honecker, J. Fock, C. Frandsen, C. Moerland, L. K. Bogart, O. Posth, W. Szczerba, H. Gavilán, R. Costo, M. T. Fernández-Díaz, D. González-Alonso, L. Fernández Barquín, and C. Johansson, Dipolar-coupled moment correlations in clusters of magnetic nanoparticles, Phys. Rev. B 98, 224420 (2018).
- P. Bender, J. Fock, C. Frandsen, M. F. Hansen, C. Balceris, F. Ludwig, O. Posth, E. Wetterskog, L. K. Bogart, P. Southern, W. Szczerba, L. Zeng, K. Witte, C. Grüttner, F. Westphal, D. Honecker, D. González-Alonso, L. Fernández Barquín, and C. Johansson, Relating magnetic properties and high hyperthermia performance of iron oxide nanoflowers, J. Phys. Chem. C 122, 3068 (2018).
- E. M. Jefremovas, P. Rooms, Á. Gallo-Córdova, M. P. Morales, F. Wiekhorst, A. Michels, and J. Leliaert, Nanoscale mapping of internal magnetization dynamics reveals how disorder shapes heat generation in magnetic particle hyperthermia, Nano Lett. (2026), doi:10.1021/acs.nanolett.6c02907.
- 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).
- A. Michels, Magnetic Small-Angle Neutron Scattering: A Probe for Mesoscale Magnetism Analysis (Oxford University Press, Oxford, 2021).
- P. Bender, D. Honecker, and L. Fernández Barquín, Supraferromagnetic correlations in clusters of magnetic nanoflowers, Appl. Phys. Lett. 115, 132406 (2019).
- D. Honecker, L. Fernández Barquín, and P. Bender, Magnetic structure factor of correlated moments in small-angle neutron scattering, Phys. Rev. B 101, 134401 (2020).
- V. Rai, I. Titov, E. M. Jefremovas, v. Liščák, S. Shan, N.-J. Steinke, J. Leliaert, Á. Gallo-Córdova, M. P. Morales, D. Peddis, P. Maltoni, L. F. Barquín, A. Michels, and M. P. Adams, Polarized neutron scattering as a probe for vortex-type spin correlations in iron oxide multicore assemblies, arXiv:2606.18791.
- M. P. Adams, E. P. Sinaga, Š. Liščák, and A. Michels, Framework for polarized magnetic neutron scattering from nanoparticle assemblies with vortex-type spin textures, Phys. Rev. B 110, 014420 (2024).
- M. P. Adams, E. M. Jefremovas, and A. Michels, Angular anisotropy landscape of vortex ensembles in polarized small-angle neutron scattering, Phys. Rev. Res. 8, 023328 (2026).
- M. P. Adams and A. Michels, Minimal model for vortex nucleation and reversal in spherical magnetic nanoparticles, Phys. Rev. B 113, 224406 (2026).
- H. Gavilán, A. Kowalski, D. Heinke, A. Sugunan, J. Sommertune, M. Varón, L. K. Bogart, O. Posth, L. Zeng, D. González-Alonso, et al., Colloidal flower-shaped iron oxide nanoparticles: Synthesis strategies and coatings, Part. Part. Syst. Charact. 34, 1700094 (2017).
- H. Gavilán, K. Simeonidis, E. Myrovali, E. Mazarío, O. Chubykalo-Fesenko, R. Chantrell, L. Balcells, M. Angelakeris, M. P. Morales, and D. Serantes, How size, shape and assembly of magnetic nanoparticles give rise to different hyperthermia scenarios, Nanoscale 13, 15631 (2021).
- K. Simeonidis, M. P. Morales, T. Damartzis, N. Maniotis, and S. Veintemillas-Verdaguer, Toward more sustainable magnetic nanoparticle synthesis based on microwave-assisted continuous-flow processes, Ind. Eng. Chem. Res. 63, 20651 (2024).
- 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).
- M. P. Adams and A. Michels, NuMagSANS: A GPU-accelerated open-source software package for the generic computation of nuclear and magnetic small-angle neutron scattering observables of complex systems, J. Appl. Cryst. 59, 943 (2026).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/mhfg-6sjm for additional information and results supporting this study, which includes Ref. [36].
- S. J. R. Holt, A. Petrocchi, M. Lang, S. A. Pathak, and H. Fangohr, Discretization anisotropy in finite difference micromagnetic simulations, IEEE Trans. Magn. 61, 1 (2025).
- M. P. Adams, J. Leliaert, A. Michels, and E. M. Jefremovas, Reduced vortex descriptors linking polycrystallinity in magnetic nanoparticles with polarized magnetic small-angle neutron scattering [Dataset], Zenodo, 2026, https://doi.org/10.5281/zenodo.21322498.
- M. P. Adams and A. Michels, Minimal model for vortex nucleation and reversal in spherical magnetic nanoparticles [Dataset], Zenodo, 2026, https://doi.org/10.5281/zenodo.21481863.
- 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).
- J. Nocedal and S. J. Wright, Numerical Optimization, 2nd ed. (Springer, New York, 2006).