Nd(Co0.8Fe0.2)2化合物在居里转变处的临界指数研究
Critical Exponents at Curie Transition in Nd(Co0.8Fe0.2)2 Compound
DOI: 10.12677/app.2025.156067, PDF,    科研立项经费支持
作者: 翟 琳：南京信息职业技术学院电子信息学院，江苏 南京；郑文根：南京航空航天大学物理学院，江苏 南京
关键词: 相变；临界行为；Phase Transitions； Critical Behavior
摘要: 本文通过直流磁化测量研究了Nd(Co0.8Fe0.2)2在居里温度(TC)附近的临界行为。利用Kouvel-Fisher法、改进的Arrotts图法以及临界等温分析，获得了临界指数 β=0.38( 5 ) 、 γ=1.31( 4 ) 和 δ=4.41( 3 ) 。通过 M | t | −β 与 H | t | −( β+γ ) 的对数标度图验证了所得临界指数的可靠性。此外，临界指数 β 、 γ 、 δ 以及交换相互作用 J( r )~1/ r 4.87 表明，Nd(Co0.8Fe0.2)2符合三维海森堡模型，其中短程相互作用占主导地位。
Abstract: The critical behavior around the Curie temperature (TC) of Nd(Co0.8Fe0.2)2 was investigated by dc magnetization measurement. The critical exponents β=0.38( 5 ) , γ=1.31( 4 ) and δ=4.41( 3 ) were carried out by Kouvel-Fisher, modified Arrotts Plot methods, as well as critical isothermal analysis. The reliability of the obtained critical exponents was verified by the logarithmic scaling plot of M | t | −β versus H | t | −( β+γ ) . Besides, the exponents β, γ, and δ, as well as the exchange interaction J( r )~1/ r 4.87 proposed a three-dimensional Heisenberg model for Nd(Co0.8Fe0.2)2 in which the short-range interaction becomes dominant.
文章引用：翟琳, 郑文根. Nd(Co0.8Fe0.2)2化合物在居里转变处的临界指数研究[J]. 应用物理, 2025, 15(6): 620-627. https://doi.org/10.12677/app.2025.156067

参考文献

[1] Tegus, O., Brück, E., Buschow, K.H.J. and de Boer, F.R. (2002) Transition-Metal-Based Magnetic Refrigerants for Room-Temperature Applications. Nature, 415, 150-152. [Google Scholar] [CrossRef] [PubMed]
[2] Inoue, J. and Shimizu, M. (1988) First-and Second-Order Magnetic Phase Transitions in (R-Y)Co2 and R(Co-Al)2(R = Heavy Rare-Earth Element) Compounds. Journal of Physics F: Metal Physics, 18, 2487-2497. [Google Scholar] [CrossRef] 
[3] Hilscher, G. (1982) Onset of Magnetism in Concentrated Ternary Alloys II: Laves Phase Compounds A(Fe1-xBx)2 (A = Y, Zr, U; B = Mn, Co and Al). Journal of Magnetism and Magnetic Materials, 27, 1-31. [Google Scholar] [CrossRef] 
[4] Clark, A.E. (1974) Magnetic and Magnetoelastic Properties of Highly Magnetostrictive Rare Earth-Iron Laves Phase Compounds. AIP Conference Proceedings, 18, 1015-1029. [Google Scholar] [CrossRef] 
[5] Levitin, R.Z. and Markosyan, A.S. (1990) Magnetoelastic Properties of RE-3d Intermetallics. Journal of Magnetism and Magnetic Materials, 84, 247-254. [Google Scholar] [CrossRef] 
[6] Ćwik, J. (2014) Experimental Study of the Magnetocaloric Effect in the Pseudo Binary Laves-Phase Compounds. Journal of Superconductivity and Novel Magnetism, 27, 2547-2553. [Google Scholar] [CrossRef] 
[7] Tanabe, K., Hatoyama, S., Wada, H., Andreev, A.V., Yamauchi, K., Oguchi, T., et al. (2023) Hall Effect of Rco2 (R= Er and Lu) Compounds. Journal of Alloys and Compounds, 960, Article 170743. [Google Scholar] [CrossRef] 
[8] Gratz, E. and Markosyan, A.S. (2001) Physical Properties of Rco2laves Phases. Journal of Physics: Condensed Matter, 13, R385-R413. [Google Scholar] [CrossRef] 
[9] Duc, N.H., Kim Anh, D.T. and Brommer, P.E. (2002) Metamagnetism, Giant Magnetoresistance and Magnetocaloric Effects in RCo2-Based Compounds in the Vicinity of the Curie Temperature. Physica B: Condensed Matter, 319, 1-8. [Google Scholar] [CrossRef] 
[10] Duc, N.H. and Brommer, P.E. (1999) Chapter 3 Formation of 3d-Moments and Spin Fluctuations in Some Rare-Earth-Cobalt Compounds. In: Handbook of Magnetic Materials, Elsevier, 259-394. [Google Scholar] [CrossRef] 
[11] Hu, C.C., Shi, Y.G., Zheng, T.F., Fan, J.Y., Shi, D.N., Lv, L.Y., et al. (2012) Structural, Magnetic and Magnetostrictive Behavior in Nd(Fe1-xCox)1.9 Compounds. Journal of Applied Physics, 112, Article 063902. [Google Scholar] [CrossRef] 
[12] Ćwik, J., Nenkov, K., Tereshina, I.S. and Palewski, T. (2012) The Influence of Er Substitution on Magnetic and Magnetocaloric Properties of Ho1-xERxCo2 Solid Solution. Materials Chemistry and Physics, 136, 492-497. [Google Scholar] [CrossRef] 
[13] Bonilla, C.M., Herrero-Albillos, J., Bartolomé, F., García, L.M., Parra-Borderías, M. and Franco, V. (2010) Universal Behavior for Magnetic Entropy Change in Magnetocaloric Materials: An Analysis on the Nature of Phase Transitions. Physical Review B, 81, Article 224424. [Google Scholar] [CrossRef] 
[14] Murtaza, A., Zuo, W., Yaseen, M., Ghani, A., Saeed, A., Hao, C., et al. (2020) Magnetocaloric Effect in the Vicinity of the Magnetic Phase Transition in NdCo2-xFex Compounds. Physical Review B, 101, Article 214427. [Google Scholar] [CrossRef] 
[15] Zheng, W.G., Cui, Y., Chen, F.H., Shi, Y.G. and Shi, D.N. (2018) Magnetocaloric Effect in Nd(Co0.8Fe0.2)2 Laves Compound with Wide Operating Temperature. Journal of Magnetism and Magnetic Materials, 460, 137-140. [Google Scholar] [CrossRef] 
[16] Han, Z., Hua, Z., Wang, D., Zhang, C., Gu, B. and Du, Y. (2006) Magnetic Properties and Magnetocaloric Effect in Dy(Co1-xFex)2 Alloys. Journal of Magnetism and Magnetic Materials, 302, 109-112. [Google Scholar] [CrossRef] 
[17] Halder, M., Yusuf, S.M., Mukadam, M.D. and Shashikala, K. (2010) Magnetocaloric Effect and Critical Behavior near the Paramagnetic to Ferrimagnetic Phase Transition Temperature in TbCo2-xFex. Physical Review B, 81, Article 174402. [Google Scholar] [CrossRef] 
[18] Chaaba, I., Othmani, S., Haj-Khlifa, S., de Rango, P., Fruchart, D., Cheikhrouhou-Koubaa, W., et al. (2017) Magnetic and Magnetocaloric Properties of Er(Co1-xFex)2 Intermetallic Compounds. Journal of Magnetism and Magnetic Materials, 439, 269-276. [Google Scholar] [CrossRef] 
[19] Liu, X.B. and Altounian, Z. (2008) Magnetocaloric Effect in Co-Rich Er(Co1-xFex)2 Laves Phase. Journal of Applied Physics, 103, 07B304. [Google Scholar] [CrossRef] 
[20] Anikin, M., Tarasov, E., Kudrevatykh, N., Inishev, A., Zinin, A., Teplykh, A., et al. (2015) Magnetic Structure and Magnetocaloric Properties of Ho(Co1-xFex)2 Quasibinary Intermetallic Compounds. Physics Procedia, 75, 1198-1206. [Google Scholar] [CrossRef] 
[21] Le Guillou, J.C. and Zinn-Justin, J. (1980) Critical Exponents from Field Theory. Physical Review B, 21, 3976-3998. [Google Scholar] [CrossRef] 
[22] Arrott, A. and Noakes, J.E. (1967) Approximate Equation of State for Nickel Near Its Critical Temperature. Physical Review Letters, 19, 786-789. [Google Scholar] [CrossRef] 
[23] Kouvel, J.S. and Fisher, M.E. (1964) Detailed Magnetic Behavior of Nickel near Its Curie Point. Physical Review, 136, A1626-A1632. [Google Scholar] [CrossRef] 
[24] Stanley, H.E. (1971) Introduction to Phase Transition and Critical Phenomena. Oxford University Press.
[25] Banerjee, B.K. (1964) On a Generalised Approach to First and Second Order Magnetic Transitions. Physics Letters, 12, 16-17. [Google Scholar] [CrossRef] 
[26] Aharoni, A. (1971) Introduction to the Theory of Ferromagnetism. Oxford University Press.
[27] Campostrini, M., Hasenbusch, M., Pelissetto, A., Rossi, P. and Vicari, E. (2002) Critical Exponents and Equation of State of the Three-Dimensional Heisenberg Universality Class. Physical Review B, 65, Article 144520. [Google Scholar] [CrossRef] 
[28] Widom, B. (1965) Equation of State in the Neighborhood of the Critical Point. The Journal of Chemical Physics, 43, 3898-3905. [Google Scholar] [CrossRef] 
[29] Stanley, H.E. (1999) Scaling, Universality, and Renormalization: Three Pillars of Modern Critical Phenomena. In: Bederson, B., Ed., More Things in Heaven and Earth, Springer New York, 601-616. [Google Scholar] [CrossRef] 
[30] Fisher, M.E., Ma, S. and Nickel, B.G. (1972) Critical Exponents for Long-Range Interactions. Physical Review Letters, 29, 917-920. [Google Scholar] [CrossRef] 
[31] Samatham, S.S. and Suresh, K.G. (2018) Critical Exponents and Universal Magnetic Behavior of Noncentrosymmetric Fe0.6Co0.4Si. Journal of Physics: Condensed Matter, 30, Article 215802. [Google Scholar] [CrossRef] [PubMed]
[32] Ouyang, Z.W., Wang, F.W., Huang, Q., Liu, W.F., Xiao, Y.G., Lynn, J.W., et al. (2005) Magnetic Structure, Magnetostriction, and Magnetic Transitions of the Laves-Phase Compoundndco2. Physical Review B, 71, Article 064405. [Google Scholar] [CrossRef] 
[33] Oppelt, A. and Buschow, K.H.J. (1976) NMR Investigation of the Hyperfine Interactions in Y(Co1-xFex)2 (A = Al, Co, Pt). Physical Review B, 13, Article 4698.

为你推荐