Abstract
A phenomenological model of the formation of exchange bias field and coercivity of polycrystalline ferromagnet/antiferromagnet composites is constructed by an example of the Fe19Ni81/Fe50Mn50 system. Based on the experimental data on temperature variations of the hysteresis properties, the estimation of distributions of crystallite blocking temperature and crystallite magnetic anisotropy constant for the antiferromagnetic layer is performed. The obtained results are used in order to perform the micromagnetic simulation of the temperature dependences of the coercivity and exchange bias field of ferromagnetic layer. It is shown that the micromagnetic model can be used successfully for the analysis and prediction of hysteresis properties of film with the exchange bias.
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REFERENCES
W. H. Meiklejohn and C. P. Bean, “New magnetic anisotropy,” Phys. Rev. 102, 904–913 (1956).
S. Peng, D. Zhu, W. Li, H. Wu, A. J. Grutter, D. A. Gilbert, J. Lu, D. Xiong, W. Cai, P. Shafer, K. L. Wang, and W. Zhao, “Exchange bias switching in an antiferromagnet/ferromagnet bilayer driven by spin–orbit torque,” Nat. Electron. 3, 757–764 (2020).
V. Baltz, A. Manchon, M. Tsoi, T. Moriyama, T. Ono, and Y. Tserkovnyak, “Antiferromagnetic spintronics,” Rev. Mod. Phys. 90, 15005 (2018).
J. Camarero, J. Sort, A. Hoffmann, M. J. García-Martín, B. Dieny, R. Miranda, and J. Nogués, “Origin of the asymmetric magnetization reversal behavior in exchange-biased systems: Competing anisotropies,” Phys. Rev. Lett. 95, 1–4 (2005).
T. Blachowicz and A. Ehrmann, “Exchange bias in thin films–an update,” Coatings 11, 1–21 (2021).
J. Nogués, D. Lederman, T. J. Moran, I. K. Schuller, and K. V. Rao, “Large exchange bias and its connection to interface structure in FeF 2-Fe bilayers,” Appl. Phys. Lett. 68, 3186 (1995).
D. Mauri, H. C. Siegmann, P. S. Bagus, and E. Kay, “Simple model for thin ferromagnetic films exchange coupled to an antiferromagnetic substrate,” J. Appl. Phys. 62, 3047–3049 (1987).
I. K. Schuller, R. Morales, X. Batlle, U. Nowak, and G. Güntherodt, “Role of the antiferromagnetic bulk spins in exchange bias,” J. Magn. Magn. Mater. 416, 2–9 (2016).
A. P. Malozemoff, “Random-field model of exchange anisotropy at rough ferromagnetic- antiferromagnetic interfaces,” Phys. Rev. B 35, 3679–3682 (1987).
R. L. Stamps, “Mechanisms for exchange bias,” J. Phys. D: Appl. Phys. 33, R247 (2001).
E. Fulcomer and S. H. Charap, “Thermal fluctuation aftereffect model for some systems with ferromagnetic-antiferromagnetic coupling,” J. Appl. Phys. 43, 4190–4199 (1972).
S. Polisetty, S. Sahoo, and C. Binek, “Scaling behavior of the exchange-bias training effect,” Phys. Rev. B: Condens. Matter Mater. Phys. 76, 1–9 (2007).
K. Nishioka, C. Hou, H. Fujiwara, and R. D. Metzger, “Grain size effect on ferro-antiferromagnetic coupling of NiFe/FeMn systems,” J. Appl. Phys. 80, 4528–4533 (1996).
M. D. Stiles and R. D. McMichael, “Coercivity in exchange-bias bilayers,” Phys. Rev. B: Condens. Matter Mater. Phys. 63, 1–10 (2001).
K. O’Grady, L. E. Fernandez-Outon, and G. Vallejo-Fernandez, “A new paradigm for exchange bias in polycrystalline thin films,” J. Magn. Magn. Mater. 322, 883–899 (2009).
J. Saha and R. H. Victora, “Large scale micromagnetic simulation for the exchange interaction between a polycrystalline antiferromagnet and a ferromagnet,” Phys. Rev. B: Condens. Matter Mater. Phys. 73, 1–9 (2006).
R. F. L. Evans, W. J. Fan, P. Chureemart, T. A. Ostler, M. O. A. Ellis, and R. W. Chantrell, “Atomistic spin model simulations of magnetic nanomaterials,” J. Phys.: Condens. Matter. 26, 103202 (2014).
B. Craig, R. Lamberton, A. Johnston, U. Nowak, R. W. Chantrell, and K. O’Grady, “A model of the temperature dependence of exchange bias in coupled ferromagneticantiferromagnetic bilayers,” J. Appl. Phys. 103, 7–10 (2008).
V. O. Vas’kovskiy, O. A. Adanakova, A. N. Gorkovenko, V. N. Lepalovskij, A. V. Svalov, and E. A. Stepanova, “Exchange bias in FeMn/M (M = FeNi, Gd, Tb) films,” Phys. Procedia 82, 56–62 (2016).
S. Nayak, P. K. Manna, T. Vijayabaskaran, B. B. Singh, J. A. Chelvane, and S. Bedanta, “Exchange bias in Fe/Ir20Mn80 bilayers: Role of spin-glass like interface and ‘bulk’ antiferromagnet spins,” J. Magn. Magn. Mater. 499, 166267 (2020).
L. E. Fernández-Outón, K. O’Grady, and M. J. Carey, “Thermal phenomena in IrMn exchange biased systems,” J. Appl. Phys. 95, 6852–6854 (2004).
G. Vallejo-Fernandez, N. P. Aley, J. N. Chapman, and K. O' Grady, “Measurement of the attempt frequency in antiferromagnets,” Appl. Phys. Lett. 97, 1–4 (2010).
V. O. Vas’kovskiy, V. N. Lepalovskij, A. N. Gor’kovenko, N. A. Kulesh, P. A. Savin, A. V. Svalov, E. A. Stepanova, A. A. Yuvchenko, and N. N. Shchegoleva, “Fe20Ni80/Fe50Mn50 film magnetoresistive medium,” Tech. Phys. 60, 116–122 (2015).
L. E. Fernandez-Outon, G. Vallejo-Fernandez, S. Manzoor, B. Hillebrands, and K. O’Grady, “Interfacial spin order in exchange biased systems,” J. Appl. Phys. 104, 093907 (2008).
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).
J. De Clercq, A. Vansteenkiste, M. Abes, K. Temst, and B. Van Waeyenberge, “Modelling exchange bias with MuMax3,” J. Phys. D: Appl. Phys. 49, 1–7 (2016).
W. Brown, “Thermal fluctuations of a single-domain particle,” Phys. Rev. 130, 1677–1686 (1963).
W. Daeng-Am, P. Chureemart, A. Rittidech, L. J. Atkinson, R. W. Chantrell, and J. Chureemart, “Micromagnetic model of exchange bias: Effects of structure and AF easy axis dispersion for IrMn/CoFe bilayers,” J. Phys. D: Appl. Phys. 53, 045002 (2020).
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The study was supported by the Russian Science Foundation, project no. 19-72-00141.
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Translated by N. Kolchugina
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Kulesh, N.A., Moskalev, M.E., Vas’kovskii, V.O. et al. Micromagnetic Analysis of Temperature Dependences of Hysteresis Properties of Polycrystalline Films with Exchange Bias. Phys. Metals Metallogr. 122, 855–860 (2021). https://doi.org/10.1134/S0031918X21090064
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DOI: https://doi.org/10.1134/S0031918X21090064