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The coercivities in rare earth permanent magnets even with the same intrinsic properties may differ largely. In this paper, what determines the coercivity is discussed via the investigation of thermal activation in Pr-Fe-B ribbons prepared by melt-spinning method. The thermal activation, resulting from thermal fluctuation overcoming the energy barrier under the applied field, is the critical behavior of magnetization reversal. The activation size is comparable to the theoretical domain wall size, implying that the magnetization reversal undergoes the nucleation of revered domain wall at grain outer-layer in Pr-Fe-B ribbons, and the defects near the grain boundary are critical for the magnetization reversal and coercivity. The exchange coupling between the defect region at grain outer-layer and the perfect region in the inside of grain promotes the nucleation of reversed domain and the depinning of domain wall motion. The reduced anisotropy of the defect region also contributes to the overcoming of energy barrier of magneto crystallie anisotropy in the inside of Pr-Fe-B grains by the coupling effect, so the nucleation field of reversed domain and coercivity decrease largely, and the domain wall size is a little larger than the theoretical value due to the coupling between the defect region at grain outer-layer and the perfect region in the inside of grain in the critical magnetization reversal. In Pr2Fe14B/α-Fe composite magnets, the exchange coupling between the soft and hard magnetic phase leads the domain wall size to increase in the critical magnetization reversal of thermal activation, and so the exchange energy plays a role in overcoming the energy barrier, resulting in the further decrease of coercivity. Via the addition of Ti and Nb element, the coercivity increases significantly. Based on the investigation of thermal activation, the size of defect region involved in the domain wall decreases, and the contribution of the anisotropy in the defect region and interface to the overcoming of energy barrier is weakened, so the applied magnetic field should be increased in the magnetization reversal. The coercivity can be enhanced by reducing the size of defect region at grain outer-layer and by making the anisotropy change abruptly at the interface between the hard and soft magnetic phase.
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Keywords:
- permanent magnets /
- coercivity /
- domain wall /
- defect
[1] Herbst J F 1991 Rev. Mod. Phys. 63 819Google Scholar
[2] Kou X C, Kronmüller H, Givord D, Rossignol M F 1994 Phys. Rev. B 50 3849Google Scholar
[3] Zhao G P, Zhao M G, Lim H S, Feng Y P, Ong C K 2005 Appl. Phys. Lett. 87 162513Google Scholar
[4] Zhang H W, Rong C B, Zhang J, Zhang S Y, Shen B G 2002 Phys. Rev. B 66 184436Google Scholar
[5] Kronmüller H 1987 Phys. Stat. Sol. B 144 385Google Scholar
[6] Sepehri-Amin H, Ohkubo T, Shima T, Hono K 2012 Acta Mater. 60 819Google Scholar
[7] Chen S L, Liu W, Zhang Z D 2005 Phys. Rev. B 72 224419Google Scholar
[8] Yue M, Liu W Q, Zhang D T, Jian Z G, Cao A L, Zhang J X 2009 Appl. Phys. Lett. 94 092501Google Scholar
[9] Givord D, Tenaud P, Viadieu T 1988 IEEE Trans. Magn. 24 1921Google Scholar
[10] Gao R W, Zhang D H, Li H, Jiang S T, Zhou S Z, Li F B, Zhang L D 1995 J. Appl. Phys. 78 1156Google Scholar
[11] Zhao G P, Wang X L, Yang C, Xie L H, Zhou G 2007 J. Appl. Phys. 101 09K102Google Scholar
[12] Givord D, Rossignol M, Barthem V M T S 2003 J. Magn. Magn. Mater. 258-259 1
[13] Li Z B, Shen B G, Niu E, Sun J R 2013 Appl. Phys. Lett. 103 062405Google Scholar
[14] Kronmüller H, Durst K D, Sagawa M 1988 J. Magn. Magn. Mater. 74 291Google Scholar
[15] Wohlfarth E P 1984 J. Phys. F: Met. Phys. 14 L155Google Scholar
[16] 张宏伟, 荣传兵, 张健, 张绍英, 沈保根 2003 物理学报 52 722Google Scholar
Zhang H W, Rong C B, Zhang J, Zhang S Y, Shen B G 2003 Acta Phys. Sin. 52 722Google Scholar
[17] Li Z B, Shen B G, Niu E, Liu R M, Zhang M, Sun J R 2013 Chin. Phys. B 22 117503Google Scholar
[18] Li Z B, Zhang Y, Shen B G, Zhang M, Hu F X, Sun J R 2017 J. Magn. Magn. Mater. 422 249Google Scholar
[19] Bauer J, Seeger M, Zern A, Kronmüller H 1996 J. Appl. Phys. 80 1667Google Scholar
[20] Zhang H W, Rong C B, Du X B, Zhang S Y, Shen B G 2004 J. Magn. Magn. Mater. 278 127Google Scholar
[21] Kronmüller H, Fahnle M 2003 Micromagnetism and the Microstructure of Ferromagnetic Solids (Cambridge: Cambridge University Press) p420
[22] Zhang H W, Zhang S Y, Shen B G, Goll D, Kronmüller H 2001 Chin. Phys. 10 1169Google Scholar
[23] Li Z B, Shen B G, Zhang M, Zhang Y, Hu F X, Sun J R 2015 Appl. Phys. Lett. 106 042403Google Scholar
[24] 张宏伟, 张文勇, 阎阿儒, 沈保根 1999 物理学报 48 211
Zhang H W, Zhang W Y, Yan A R, Shen B G 1999 Acta Phys. Sin. 48 211
[25] Li H L, Lou L, Hou F C, Guo D F, Li W, Li X H, Gunderov D V, Sato K, Zhang X Y 2013 Appl. Phys. Lett. 103 142406Google Scholar
[26] Seeger M, Köhler D, Kronmüller H 1994 J. Magn. Magn. Mater. 130 165Google Scholar
[27] Liu W, Liu X H, Cui W B, Gong W J, Zhang Z D 2013 Chin. Phys. B 22 027104Google Scholar
[28] Zhang J, Takahashi Y K, Gopalan R, Hono K 2005 Appl. Phys. Lett. 86 122509Google Scholar
[29] Si W J, Zhao G P, Ran N, Peng Y, Morvan F J, Wan X L 2015 Sci. Rep. 5 16212Google Scholar
[30] Cui W B, Takahashi Y K, Hono K 2012 Adv. Mater. 24 6530Google Scholar
[31] Kelly P E, O’Grady K, Mayo P I, Chantrell R W 1989 IEEE Trans. Magn. 25 3881Google Scholar
[32] Choi Y, Jiang J S, Ding Y, Rosenberg R A, Pearson J E, Bader S D, Zambano A, Murakami M, Takeuchi I, Wang Z L, Liu J P 2007 Phys. Rev. B 75 104432Google Scholar
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[1] Herbst J F 1991 Rev. Mod. Phys. 63 819Google Scholar
[2] Kou X C, Kronmüller H, Givord D, Rossignol M F 1994 Phys. Rev. B 50 3849Google Scholar
[3] Zhao G P, Zhao M G, Lim H S, Feng Y P, Ong C K 2005 Appl. Phys. Lett. 87 162513Google Scholar
[4] Zhang H W, Rong C B, Zhang J, Zhang S Y, Shen B G 2002 Phys. Rev. B 66 184436Google Scholar
[5] Kronmüller H 1987 Phys. Stat. Sol. B 144 385Google Scholar
[6] Sepehri-Amin H, Ohkubo T, Shima T, Hono K 2012 Acta Mater. 60 819Google Scholar
[7] Chen S L, Liu W, Zhang Z D 2005 Phys. Rev. B 72 224419Google Scholar
[8] Yue M, Liu W Q, Zhang D T, Jian Z G, Cao A L, Zhang J X 2009 Appl. Phys. Lett. 94 092501Google Scholar
[9] Givord D, Tenaud P, Viadieu T 1988 IEEE Trans. Magn. 24 1921Google Scholar
[10] Gao R W, Zhang D H, Li H, Jiang S T, Zhou S Z, Li F B, Zhang L D 1995 J. Appl. Phys. 78 1156Google Scholar
[11] Zhao G P, Wang X L, Yang C, Xie L H, Zhou G 2007 J. Appl. Phys. 101 09K102Google Scholar
[12] Givord D, Rossignol M, Barthem V M T S 2003 J. Magn. Magn. Mater. 258-259 1
[13] Li Z B, Shen B G, Niu E, Sun J R 2013 Appl. Phys. Lett. 103 062405Google Scholar
[14] Kronmüller H, Durst K D, Sagawa M 1988 J. Magn. Magn. Mater. 74 291Google Scholar
[15] Wohlfarth E P 1984 J. Phys. F: Met. Phys. 14 L155Google Scholar
[16] 张宏伟, 荣传兵, 张健, 张绍英, 沈保根 2003 物理学报 52 722Google Scholar
Zhang H W, Rong C B, Zhang J, Zhang S Y, Shen B G 2003 Acta Phys. Sin. 52 722Google Scholar
[17] Li Z B, Shen B G, Niu E, Liu R M, Zhang M, Sun J R 2013 Chin. Phys. B 22 117503Google Scholar
[18] Li Z B, Zhang Y, Shen B G, Zhang M, Hu F X, Sun J R 2017 J. Magn. Magn. Mater. 422 249Google Scholar
[19] Bauer J, Seeger M, Zern A, Kronmüller H 1996 J. Appl. Phys. 80 1667Google Scholar
[20] Zhang H W, Rong C B, Du X B, Zhang S Y, Shen B G 2004 J. Magn. Magn. Mater. 278 127Google Scholar
[21] Kronmüller H, Fahnle M 2003 Micromagnetism and the Microstructure of Ferromagnetic Solids (Cambridge: Cambridge University Press) p420
[22] Zhang H W, Zhang S Y, Shen B G, Goll D, Kronmüller H 2001 Chin. Phys. 10 1169Google Scholar
[23] Li Z B, Shen B G, Zhang M, Zhang Y, Hu F X, Sun J R 2015 Appl. Phys. Lett. 106 042403Google Scholar
[24] 张宏伟, 张文勇, 阎阿儒, 沈保根 1999 物理学报 48 211
Zhang H W, Zhang W Y, Yan A R, Shen B G 1999 Acta Phys. Sin. 48 211
[25] Li H L, Lou L, Hou F C, Guo D F, Li W, Li X H, Gunderov D V, Sato K, Zhang X Y 2013 Appl. Phys. Lett. 103 142406Google Scholar
[26] Seeger M, Köhler D, Kronmüller H 1994 J. Magn. Magn. Mater. 130 165Google Scholar
[27] Liu W, Liu X H, Cui W B, Gong W J, Zhang Z D 2013 Chin. Phys. B 22 027104Google Scholar
[28] Zhang J, Takahashi Y K, Gopalan R, Hono K 2005 Appl. Phys. Lett. 86 122509Google Scholar
[29] Si W J, Zhao G P, Ran N, Peng Y, Morvan F J, Wan X L 2015 Sci. Rep. 5 16212Google Scholar
[30] Cui W B, Takahashi Y K, Hono K 2012 Adv. Mater. 24 6530Google Scholar
[31] Kelly P E, O’Grady K, Mayo P I, Chantrell R W 1989 IEEE Trans. Magn. 25 3881Google Scholar
[32] Choi Y, Jiang J S, Ding Y, Rosenberg R A, Pearson J E, Bader S D, Zambano A, Murakami M, Takeuchi I, Wang Z L, Liu J P 2007 Phys. Rev. B 75 104432Google Scholar
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