Abstract
A method is presented that allows quantifying the average value of the interaction field in arrays of magnetic nanowires from the field difference between the isothermal remanence (IRM) and the DC demagnetizing (DCD) remanence curves when the normalized magnetization is equal to one third. Arrays of magnetic nanowires of different diameters and packing fractions are used to experimentally test the method. The results have been compared with those obtained using the method based on the difference between the remanence coercivity fields and with a mean-field expression for the interaction field, providing a very good agreement and thus validating the method. Additionally, it is shown that both the position (m0) and the shift along the magnetization axis of the intersection between the remanence curves with respect to the value of one third (δm = m0 − 1/3) provide qualitative information about the interaction field. The former indicates the type of interaction depending if the intersection is above (m0 > 1/3) or below (m0 < 1/3), which corresponds to a ferro or anti-ferro magnetic interaction, respectively. While for the latter, it is shown that the maximum deviation of the Delta-M plot from zero (ΔMmax) corresponds to three times the shift (ΔMmax = 3δm).
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References
Sander, D., et al.: The 2017 magnetism roadmap. J. Phys. D: Appl. Phys. 50, 363001 (2017)
Fernández-Pacheco, A., Streubel, R., Fruchart, O., Hertel, R., Fischer, P., Cowburn, R.P.: Three-dimensional nanomagnetism. Nat. Commun. 8, 15756 (2017)
Shi, W., Liang, R., Xu, S., Wang, Y., Luo, C., Darwish, M., Smoukov, S.K.: Layer-by-layer self-assembly: toward magnetic films with tunable anisotropy. J. Phys. Chem. C 119(23), 13215 (2015)
Klughertz, G., Manfredi, G., Hervieux, P.A., Pichon, B.P., Begin-Colin, S.: Effect of disorder and dipolar interactions in two-dimensional assemblies of iron-oxide magnetic nanoparticles. J. Phys. Chem. C 120(13), 7381 (2016)
Okamoto, S., Kikuchi, N., Hotta, A., Furuta, M., Kitakami, O., Shimatsu, T.: Microwave assistance effect on magnetization switching in Co-Cr-Pt granular film. Appl. Phys. Lett. 103(20), 202405 (2013)
Kumar, D., Chaudhary, S., Pandya, D.K.: Evolution of particle size and interparticle magnetic interactions with thickness in co-sputtered Cu79Co21 nanogranular thin films. J. Appl. Phys. 114(2), 023908 (2013)
Thevenot, J., Oliveira, H., Sandre, O., Lecommandoux, S.: Magnetic responsive polymer composite materials. Chem. Soc. Rev. 42, 7099 (2013)
Ojha, S., Nunes, W.C., Aimon, N.M., Ross, C.A.: Magnetostatic interactions in self-assembled CoxNi1−xFe2O4/BiFeO3 multiferroic nanocomposites. ACS Nano 10(8), 7657 (2016). PMID: 27434047
Albrecht, T.R., et al.: Bit-patterned magnetic recording: theory, media fabrication, and recording performance. IEEE Trans. Magn. 51, 1 (2015)
Lau, J.W., Shaw, J.M.: Magnetic nanostructures for advanced technologies: fabrication, metrology and challenges. J. Phys. D: Appl. Phys. 44(30), 303001 (2011)
Krawczyk, M., Grundler, D.: Review and prospects of magnonic crystals and devices with reprogrammable band structure. J. Phys. Condens. Matter 26(12), 123202 (2014)
Carignan, L.P., Yelon, A., Menard, D., Caloz, C.: Ferromagnetic nanowire metamaterials: theory and applications. IEEE Trans. Microwave Theory Tech. 59(10), 2568 (2011)
Schreier, M., Chiba, T., Niedermayr, A., Lotze, J., Huebl, H., Geprägs, S., Takahashi, S., Bauer, G.E.W., Gross, R., Goennenwein, S.T.B.: Current-induced spin torque resonance of a magnetic insulator. Phys. Rev. B 92, 144411 (2015)
Long, N.V., Yang, Y., Teranishi, T., Thi, C.M., Cao, Y., Nogami, M.: Biomedical applications of advanced multifunctional magnetic nanoparticles. J. Nanosci. Nanotechnol. 15(12), 10091 (2015)
Bjørk, R., Bahl, C.R.H.: Demagnetization factor for a powder of randomly packed spherical particles. Appl. Phys. Lett. 103(10), 102403 (2013)
Majetich, S.A., Sachan, M.: Magnetostatic interactions in magnetic nanoparticle assemblies: energy, time and length scales. J. Phys. D: Appl. Phys. 39(21), R407 (2006)
Pardavi-Horvath, M.: Interaction effects in magnetic nanostructures. Phys. Status Solidi A 211(5), 1030 (2014)
Stamps, R.L., et al.: The 2014 magnetism roadmap. J. Phys. D: Appl. Phys. 47, 333001 (2014)
Aslibeiki, B., Kameli, P., Salamati, H.: The effect of dipole-dipole interactions on coercivity, anisotropy constant, and blocking temperature of MnFe2O4 nanoparticles. J. Appl. Phys. 119(6), 063901 (2016)
Pfau, B., Günther, C.M., Guehrs, E., Hauet, T., Hennen, T., Eisebitt, S., Hellwig, O.: Influence of stray fields on the switching-field distribution for bit-patterned media based on pre-patterned substrates. Appl. Phys. Lett. 105(13), 132407 (2014)
Nisoli, C., Moessner, R., Schiffer, P.: Artificial spin ice: designing and imaging magnetic frustration. Rev. Mod. Phys. 85, 1473 (2013)
Bedanta, S., Kleemann, W.: Supermagnetism. J. Phys. D: Appl. Phys. 42(1), 013001 (2009)
Hillion, A., Tamion, A., Tournus, F., Albin, C., Dupuis, V.: From vanishing interaction to superferromagnetic dimerization: experimental determination of interaction lengths for embedded Co clusters. Phys. Rev. B 95, 134446 (2017)
Landi, G.T.: Role of dipolar interaction in magnetic hyperthermia. Phys. Rev. B 89, 014403 (2014)
Salas, G., Camarero, J., Cabrera, D., Takacs, H., Varela, M., Ludwig, R., Dähring, H., Hilger, I., Miranda, R., Morales, M.d.P., Teran, F.J.: Modulation of magnetic heating via dipolar magnetic interactions in monodisperse and crystalline iron oxide nanoparticles. J. Phys. Chem. C 118(34), 19985 (2014)
Ruta, S., Chantrell, R., Hovorka, O.: Unified model of hyperthermia via hysteresis heating in systems of interacting magnetic nanoparticles. Sci. Rep. 5, 9090 EP (2015)
Coral, D.F., Mendoza Zélis, P., Marciello, M., Morales, M.d.P., Craievich, A., Sánchez, F.H., Fernández van Raap, M.B.: Effect of nanoclustering and dipolar interactions in heat generation for magnetic hyperthermia. Langmuir 32(5), 1201 (2016)
Orozco-Henao, J.M., Coral, D.F., Muraca, D., Moscoso-Londoño, O., Mendoza Zélis, P., Fernandez van Raap, M.B., Sharma, S.K., Pirota, K.R., Knobel, M.: Effects of nanostructure and dipolar interactions on magnetohyperthermia in iron oxide nanoparticles. J. Phys. Chem. C 120(23), 12796 (2016)
Henkel, O.: Remanenzverhalten und wechselwirkungen in hartmagnetischen teilchenkollektiven. Phys. Status Solidi B 7(3), 919 (1964)
Kelly, P.E., O’Grady, K., Mayo, P.I., Chantrell, R.W.: Switching mechanisms in cobalt-phosphorus thin films. IEEE Trans. Magn. 25(5), 3881 (1989)
Veitch, R.J.: Anhysteretic susceptibility and static magnetic properties of interacting small particles. IEEE Trans. Magn. 26(5), 1876 (1990)
Harrell, J.W., Richards, D., Parker, M.R.: Delta-h plot evaluation of remanence behavior in barium ferrite tapes and disks. J. Appl. Phys. 73(10), 6722 (1993)
Béron, F., Clime, L., Ciureanu, M., Ménard, D., Cochrane, R.W., Yelon, A.: Magnetostatic interactions and coercivities of ferromagnetic soft nanowires in uniform length arrays. J. Nanosci. Nanotechnol. 8 (6), 2944 (2008)
Béron, F., Ménard, D., Yelon, A.: First-order reversal curve diagrams of magnetic entities with mean interaction field: a physical analysis perspective. J. Appl. Phys. 103(7), 07D908 (2008)
Stancu, A., Pike, C., Stoleriu, L., Postolache, P., Cimpoesu, D.: Micromagnetic and preisach analysis of the first order reversal curves (forc) diagram. J. Appl. Phys. 93(10), 6620 (2003)
Dobrotă, C.I., Stancu, A.: What does a first-order reversal curve diagram really mean? a study case: array of ferromagnetic nanowires. J. Appl. Phys. 113(4), 043928 (2013)
Gilbert, D.A., Zimanyi, G.T., Dumas, R.K., Winklhofer, M., Gomez, A., Eibagi, N., Vicent, J.L., Liu, K.: Quantitative decoding of interactions in tunable nanomagnet arrays using first order reversal curves. Sci. Rep. 4, 4204 EP (2014)
Wang, T., Wang, Y., Fu, Y., Hasegawa, T., Oshima, H., Itoh, K., Nishio, K., Masuda, H., Li, F.S., Saito, H., Ishio, S.: Magnetic behavior in an ordered Co nanorod array. Nanotechnology 19(45), 455703 (2008)
Encinas-Oropesa, A., Demand, M., Piraux, L., Huynen, I., Ebels, U.: Dipolar interactions in arrays of nickel nanowires studied by ferromagnetic resonance. Phys. Rev. B 63, 104415 (2001)
De La Torre Medina, J., Piraux, L., Olais Govea, J.M., Encinas, A.: Double ferromagnetic resonance and configuration-dependent dipolar coupling in unsaturated arrays of bistable magnetic nanowires. Phys. Rev. B 81, 144411 (2010)
Moya, C., Iglesias, Ó., Batlle, X., Labarta, A.: Quantification of dipolar interactions in Fe3−xO4 nanoparticles. J. Phys. Chem. C 119(42), 24142 (2015)
Dupuis, V., Khadra, G., Hillion, A., Tamion, A., Tuaillon-Combes, J., Bardotti, L., Tournus, F.: Intrinsic magnetic properties of bimetallic nanoparticles elaborated by cluster beam deposition. Phys. Chem. Chem. Phys. 17, 27996 (2015)
Blanco-Andujar, C., Ortega, D., Southern, P., Pankhurst, Q.A., Thanh, N.T.K.: High performance multi-core iron oxide nanoparticles for magnetic hyperthermia: microwave synthesis, and the role of core-to-core interactions. Nanoscale 7, 1768 (2015)
Panagiotopoulos, I., Fang, W., Aït-Atmane, K., Piquemal, J.Y., Viau, G., Dalmas, F., Boué, F., Ott, F.: Low dipolar interactions in dense aggregates of aligned magnetic nanowires. J. Appl. Phys. 114(23), 233909 (2013)
Corradi, A.R., Wohlfarth, E.P.: Influence of densification on the remanence, the coercivities and the interaction field of elongated γ Fe2O3 powders. IEEE Trans. Magn. 14, 861 (1978)
Álvarez, N., Leva, E., Valente, R., Mansilla, M., Gómez, J., Milano, J., Butera, A.: Correlation between magnetic interactions and domain structure in A1 FePt ferromagnetic thin films. J. Appl. Phys. 115, 083907 (2014)
Martínez-Huerta, J.M., Medina, J.D.L.T., Piraux, L., Encinas, A.: Self consistent measurement and removal of the dipolar interaction field in magnetic particle assemblies and the determination of their intrinsic switching field distribution. J. Appl. Phys. 111(8), 083914 (2012)
Piraux, L., Encinas, A., Vila, L., Mátéfi-Tempfli, S., Mátéfi-Tempfli, M., Darques, M., Elhoussine, F., Michotte, S.: Magnetic and superconducting nanowires. J. Nanosci. Nanotechnol. 5(3), 372 (2005)
Wohlfarth, E.P.: Relations between different modes of acquisition of the remanent magnetization of ferromagnetic particles. J. Appl. Phys. 29(3), 595 (1958)
Tournus, F., Tamion, A., Hillion, A., Dupuis, V.: Anisotropy evolution of nanoparticles under annealing: benefits of isothermal remanent magnetization simulation. J. Magn. Magn. Mater. 419, 1 (2016)
Peddis, D., Cannas, C., Piccaluga, G., Agostinelli, E., Fiorani, D.: Spin-glass-like freezing and enhanced magnetization in ultra-small CoFe2O4 nanoparticles. Nanotechnology 21, 125705 (2010)
Martínez-Huerta, J.M., Medina, J.D.L.T., Piraux, L., Encinas, A.: Configuration dependent demagnetizing field in assemblies of interacting magnetic particles. J. Phys. Condens. Matter 25(22), 226003 (2013)
Skomski, R.: Nanomagnetics. J. Phys. Condens. Matter 15(20), R841 (2003)
Acknowledgements
The authors thank E. Ferain of it4ip S. A. for providing the PC membranes. E. Araujo thanks Fondo CONACYT- Secretaría de Energía - Sustentabilidad Energética.
Funding
This study received financial support from CONACYT Ciencia Básica grant 286626 and CONACYT-SENER I0027-2015-01-232611, and Fédération Wallonie-Bruxelles (ARC 13/18-052, Supracryst) and Fonds de la Recherche Scientifique-FNRS under grant no. T.0006.16.
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Araujo, E., Martínez-Huerta, J.M., Piraux, L. et al. Quantification of the Interaction Field in Arrays of Magnetic Nanowires from the Remanence Curves. J Supercond Nov Magn 31, 3981–3987 (2018). https://doi.org/10.1007/s10948-018-4671-2
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DOI: https://doi.org/10.1007/s10948-018-4671-2