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Optimization of Nanocomposite Materials for Permanent Magnets: Micromagnetic Simulations of the Effects of Intergrain Exchange and the Shapes of Hard Grains
Phys. Rev. Applied 7, 014011 – Published 17 January, 2017
DOI: https://doi.org/10.1103/PhysRevApplied.7.014011
Abstract
In this paper, we perform a detailed numerical analysis of remagnetization processes in nanocomposite magnetic materials consisting of magnetically hard grains (i.e., grains made of a material with a high magnetocrystalline anisotropy) embedded into a magnetically soft phase. Such materials are widely used for the production of permanent magnets because they combine high remanence with large coercivity. We perform simulations of nanocomposites with Sr-ferrite as the hard phase and Fe or Ni as the soft phase, concentrating our efforts on analyzing the effects of (i) the imperfect intergrain exchange and (ii) the nonspherical shape of hard grains. We demonstrate that—in contrast to common belief—the maximal energy product is achieved not for systems with a perfect intergrain exchange, but for materials where this exchange is substantially weakened. We also show that the main parameters of the hysteresis loop—remanence, coercivity, and the energy product—exhibit nontrivial dependencies on the shape of hard grains and provide detailed explanations for our results. Simulation predictions obtained in this work open new ways for the optimization of materials for permanent magnets.
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References (31)
- R. L. Stamps, S. Breitkreutz, J. Åkerman, A. V. Chumak, Y. Otani, G. E. W. Bauer, J. Thiele, M. Bowen, S. Majetich, M. Kläui, I. Prejbeanu, B. Dieny, N. Dempsey, and B. Hillebrands, The 2014 magnetism roadmap, J. Phys. D 47, 333001 (2014).
- O. Gutfleisch, Controlling the properties of high energy density permanent magnetic materials by different processing routes, J. Phys. D 33, R157 (2000).
- J. M. D. Coey, Magnetism and Magnetic Materials (Cambridge University Press, Cambridge, England, 2010).
- R. Skomski, P. Manchanda, P. K. Kumar, B. Balamurugan, A. Kashyap, and D. J. Sellmyer, Predicting the future of permanent-magnet materials, IEEE Trans. Magn. 49, 3215 (2013).
- Y. Matsuura, J. Hoshijima, and R. Ishii, Materials relation between grain alignment and coercive force decrease ratio in NdFeB sintered magnets, J. Magn. Magn. Mater. 336, 88 (2013).
- R. Grössinger, G. Badurek, J. Fidler, M. Zehetbauer, and C. D. Dewhurst, Structural methods for studying nanocrystalline materials, J. Magn. Magn. Mater. 294, 152 (2005).
- J. Liu, H. Sepehri-Amin, T. Ohkubo, K. Hioki, A. Hattori, T. Schrefl, and K. Hono, Effect of Nd content on the microstructure and coercivity of hot-deformed Nd-Fe-B permanent magnets, Acta Mater. 61, 5387 (2013).
- H. Sepehri-Amin, T. Ohkubo, S. Nagashima, M. Yano, T. Shoji, A. Kato, T. Schrefl, and K. Hono, High-coercivity ultrafine-grained anisotropic Nd-Fe-B magnets processed by hot deformation and the Nd-Cu grain boundary diffusion process, Acta Mater. 61, 6622 (2013).
- J. F. Löffler, H. B. Braun, W. Wagner, G. Kostorz, and A. Wiedenmann, Magnetization processes in nanostructured metals and small-angle neutron scattering, Phys. Rev. B 71, 134410 (2005).
- F. Y. Ogrin, S. L. Lee, M. Wismayer, T. Thomson, C. D. Dewhurst, R. Cubitt, and S. M. Weekes, Micromagnetic simulation of small-angle neutron scattering from magnetic recording media, J. Appl. Phys. 99, 08G912 (2006).
- S. Erokhin, D. Berkov, N. Gorn, and A. Michels, Micromagnetic modeling and small-angle neutron scattering characterization of magnetic nanocomposites, Phys. Rev. B 85, 024410 (2012).
- S. Erokhin, D. Berkov, N. Gorn, and A. Michels, Magnetic neutron scattering on nanocomposites: Decrypting cross-section images using micromagnetic simulations, Phys. Rev. B 85, 134418 (2012).
- A. Michels, S. Erokhin, D. Berkov, and N. Gorn, Micromagnetic simulation of magnetic small-angle neutron scattering from two-phase nanocomposites, J. Magn. Magn. Mater. 350, 55 (2014).
- Y. Gao, D. Shindo, and A. K. Petford-Long, Nonuniform magnetic structure in nanocomposite materials, J. Appl. Phys. 93, 8119 (2003).
- N. M. Saiden, T. Schrefl, H. A. Davies, and G. Hrkac, Micromagnetic finite element simulation of nanocrystalline magnets, J. Magn. Magn. Mater. 365, 45 (2014).
- M. Yi, O. Gutfleisch, and B.-X. Xu, Micromagnetic simulations on the grain shape effect in Nd-Fe-B magnets, J. Appl. Phys. 120, 033903 (2016).
- C. B. Rong, H. W. Zhang, R. J. Chen, S. L. He, and B. G. Shen, The role of dipolar interaction in nanocomposite permanent magnets, J. Magn. Magn. Mater. 302, 126 (2006).
- B. Zheng, H. W. Zhang, S. F. Zhao, J. L. Chen, and G. H. Wu, The physical origin of open recoil loops in nanocrystalline permanent magnets, Appl. Phys. Lett. 93, 9 (2008).
- S.-l. He, H.-W. Zhang, C.-B. Rong, J. Chen, J.-R. Sun, and B.-G. Shen, Investigation on magnetic properties of orientated nanocomposite permanent magnets by micromagnetic finite-element method, J. Magn. Magn. Mater. 324, 3853 (2012).
- R.-J. Chen, H. W. Zhang, C.-B. Rong, J.-R. Sun, and B. G. Shen, Micromagnetic simulation of angular dependence of coercivity in magnets, J. Appl. Phys. 100, 043901 (2006).
- Y. Li, M. Yue, T. Wang, Q. Wu, D. Zhang, and Y. Gao, Investigation of magnetic properties of and nanocomposite permanent magnets by micro-magnetic simulation, J. Magn. Magn. Mater. 393, 484 (2015).
- A. Donev, S. Torquato, and F. H. Stillinger, Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles, J. Comput. Phys. 202, 765 (2005).
- L. Landau and E. Lifshitz, On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, Phys. Zeitsch. Der Sow. 8, 153 (1935).
- H. Kronmüller and S. Parkin, in Handbook of Magnetism and Advanced Magnetic Materials, Vol. 2: Micromagnetism, edited by H. Kronmüller and S. Parkin (Wiley, Chichester, England, 2007).
- A. Quesada, C. Granados-Miralles, A. López-Ortega, S. Erokhin, E. Lottini, J. Pedrosa, A. Bollero, A. M. Aragón, F. Rubio-Marcos, M. Stingaciu, G. Bertoni, C. de Julián Fernández, C. Sangregorio, J. F. Fernández, D. Berkov, and M. Christensen, Energy product enhancement in imperfectly exchange-coupled nanocomposite magnets, Adv. Electron. Mater. 2, 1500365 (2016).
- N. Usov and S. Peschany, Theoretical hysteresis loops for single-domain particles with cubic anisotropy, J. Magn. Magn. Mater. 174, 247 (1997).
- J. Garca-Otero, M. Porto, and J. Rivas, Henkel plots of single-domain ferromagnetic particles, J. Appl. Phys. 87, 7376 (2000).
- D. Berkov, Numerical simulations of quasistatic remagnetization processes in fine magnetic particle systems, J. Magn. Magn. Mater. 161, 337 (1996).
- E. C. Stoner and E. P. Wohlfarth, A mechanism of magnetic hysteresis in heterogeneous alloys, Phil. Trans. R. Soc. A 240, 599 (1948).
- D. V. Berkov and S. V. Meshkov, Theory of remagnetization curves of dilute random magnets, JETP 67, 2255 (1988).
- D. V. Berkov and N. L. Gorn, Quasistatic remagnetization processes in two-dimensional systems with random on-site anisotropy and dipolar interaction: Numerical simulations, Phys. Rev. B 57, 14332 (1998).