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Chin. Phys. B, 2026, Vol. 35(7): 077505    DOI: 10.1088/1674-1056/ae360a
SPECIAL TOPIC — Multiferroicity and multicaloric effects Prev   Next  

Enhanced low-field magnetocaloric effect induced by Co doping in RCu2-xCox (R = Er, Ho) compounds for liquid hydrogen

Lu Tian(田路)1, Zhaojun Mo(莫兆军)1,†, Xuanyu Qiao(乔轩雨)1, Chenyang Ma(马辰洋)2, and Guodong Liu(刘国栋)2
1 Key Laboratory of Rare Earths, Ganjiang Innovation Academy, Chinese Academy of Sciences, Ganzhou 341000, China;
2 School of Science, Hebei University of Technology, Tianjin 300130, China
Abstract  Hydrogen, as a clean energy carrier, requires liquefaction at 20-77 K, a process that is energy-intensive and traditionally dependent on conventional refrigeration methods. Magnetocaloric refrigeration offers a promising alternative, especially when using permanent magnets as the magnetic field source, which can significantly simplify system design and reduce operational costs. Designing magnetocaloric materials with magnetic ordering temperatures within the hydrogen liquefaction range and exhibiting superior magnetocaloric effects under low magnetic fields is essential for advancing sustainable energy technologies. This study presents an in-depth investigation of the enhanced low-field magnetocaloric effect (MCE) in $R$Cu$_{2-x}$Co$_{x}$ ($R = {\rm rare}$-earth) compounds. The results indicate that Co doping significantly modifies orbital hybridization and magnetic properties, which in turn improves the MCE under low fields. Experimental data confirm that Co-doped compounds show MCE performance at low fields. For instance, under a varying magnetic field of 0-2 T, the volumetric magnetic entropy change of the ErCu$_{1.75}$Co$_{0.25}$ compound reaches 0.12 J$\cdot$cm$^{-3}\cdot$K$^{-1}$. First-principles calculations provide further insights into the electronic density of states and magnetic exchange interactions, clarifying the mechanisms behind the enhanced MCE.
Keywords:  magnetocaloric effect      hydrogen liquefaction      low magnetic fields      first-principles calculations  
Received:  21 November 2025      Revised:  06 January 2026      Accepted manuscript online:  09 January 2026
PACS:  75.30.Sg (Magnetocaloric effect, magnetic cooling)  
  75.47.Pq (Other materials)  
Fund: This work was supported by the Light of the Soviet Area Innovation Leading Talent Program (Grant No. E23HB00101), the National Natural Science Foundation of China (Grant No. 52501262), and the Key Laboratory of Rare Earths, Chinese Academy of Sciences.
Corresponding Authors:  Zhaojun Mo     E-mail:  mozhaojun@gia.cas.cn

Cite this article: 

Lu Tian(田路), Zhaojun Mo(莫兆军), Xuanyu Qiao(乔轩雨), Chenyang Ma(马辰洋), and Guodong Liu(刘国栋) Enhanced low-field magnetocaloric effect induced by Co doping in RCu2-xCox (R = Er, Ho) compounds for liquid hydrogen 2026 Chin. Phys. B 35 077505

[1] Shirron P J, Kimball M O, Fixsen D J, Kogut A J, Li X Y and DiPirro M J 2012 Cryogenics 52 140
[2] Shubham K, Arpit S, Ashish K, Adel Ben Y and Sheenam L 2023 Appl. Energy 334 120670
[3] Nicita A, Maggio G, Andaloro A P F and Squadrito G 2020 Int. J. Hydrogen Energy 45 11395
[4] Guillou F, Pathak A K, Paudyal D, Mudryk Y, Wilhelm F, Rogalev A and Pecharsky V K 2018 Nat. Commun. 9 2925
[5] Xu J M, Yang F Y, Zhang Y K, Zhao X Y and Kong Z 2025 Cryogenics 154 104266
[6] Na Y Z, Hao W X, Zhao X Y, Xie Y and Zhang Y K 2025 Ceram. Int. 51 31140
[7] Song F Y, Liu X Y, Dong C, Zhou J, Shi X L, Han Y Y, Ling L S, Ren H F, Yuan S L, Wang S, Xiang J S, Sun P J and Tian Z M 2025 Chin. Phys. Lett. 42 120706
[8] Chen W, Lin J L, Zhang Z Q and Li L W 2025 J. Rare Earths
[9] Tian L, Sun H B, Mo Z J, Gao X Q, Li Z X, Liu G D and Shen J 2025 Int. J. Hydrogen Energy 98 1205
[10] Synoradzki K, Toliński T, Ul Ain Q, Matczak M, Romanova T and Kaczorowski D 2024 J. Alloys Compd. 1006 176214
[11] Zhou X Y, Luo T, Wang C N and Fu H 2024 J. Alloys Compd. 976 173264
[12] Chen W, Yin X Q, Lin J L, Hao W X and Zhang Y K 2024 Ceram. Int. 50 32535
[13] Patino J C and de Oliveira N A 2024 J. Alloys Compd. 1003 175685
[14] Zhang H, Wu Y Y, Long Y, Wang H S, Zhong K X, Hu F X, Sun J R and Shen B G 2014 J. Appl. Phys. 116 213902
[15] Tian L, Xu B, Chen H, Mo Z J, Li Z X, Liu G D and Shen J 2023 Sci. China Mater. 66 3984
[16] Chen J, Shen B G, Dong Q Y, Hu F X and Sun J R 2010 Appl. Phys. Lett. 96 152501
[17] Zhang Y K, Zhu J, Li S, Zhang Z Q, Wang J and Ren Z M 2022 Sci. China Mater. 65 1345
[18] Kotnana G, Sahu D P and Jammalamadaka S N 2017 J. Alloys Compd. 709 410
[19] Li R K 2019 Energy Technol. 7 1801070
[20] Hao J Z, Hu F X, Zhou H B, Liang W H and Yu Z B 2020 Scr. Mater. 186 84
[21] Xie H C, Lv X D, Mo Z J, Gong J J, Gao X Q and Li Z X 2024 J. Mater. Sci. Technol. 193 90
[22] Sugiyama K, Yamamoto T, Nakamura N, Thamizhavel A and Yoshii S 2003 Physica B 327 423
[23] Sugiyama K, Yoshida Y, Aoki D, Settai R, Takeuchi T and Kindo K 1997 Physica B 230 748
[24] Vargoz E, Link P and Jaccard D 1997 Physica B 230 182
[25] Abliz M, Ahmet P, Aoki D, Kimura Y and Dahr S K 1997 J. Phys. Soc. Jpn. 66 194
[26] Zheng X Q, Xu Z Y, Zhang B, Hu F X and Shen B G 2017 J. Alloys Compd. 712 448
[27] Rajivgandhi R, Arout Chelvane J, Nigam A K, Malik S K and Nirmala R 2020 J. Alloys Compd. 815 152659
[28] Kresse G and Joubert D 1999 Phys. Rev. B 59 1758
[29] Blochl P E 1994 Phys. Rev. B 50 17953
[30] Anisimov V I, Zaanen J and Andersen O K 1991 Phys. Rev. B 44 943
[31] Wang V, Xu N, Liu J C, Tang G and Geng W T 2021 Comput. Phys. Commun. 267 108033
[32] Banerjee B K 1964 Phys. Lett. 12 16
[33] Franco V, Blázquez J S, Ipus J J and Law J Y 2018 Prog. Mater. Sci. 93 112
[34] Griffith L D, Mudryk Y, Slaughter J and Pecharsky V K 2018 J. Appl. Phys. 123 034902
[35] Gschneidner K A Jr and Pecharsky V K 2000 Annu. Rev. Mater. Sci. 30 387
[36] Pecharsky V K and Tsokol A O 2005 Rep. Prog. Phys. 68 1479
[37] Mahmud K, Gschneidner K A Jr and Pecharsky V K 2010 J. Appl. Phys. 107 09A904
[38] Dong Q Y, Chen J, Shen J, Sun J R and Shen B G 2011 Appl. Phys. Lett. 99 132504
[39] Zhang H, Shen B G, Xu Z Y, Shen J and Hu F X 2013 Appl. Phys. Lett. 102 092401
[40] Hashimoto T, Kuzuhara T, Sahashi M, Inomata K, Tomokiyo A and Yayama H 1987 J. Appl. Phys. 62 3873
[41] Zheng X Q, Shao X P, Chen J, Xu Z Y, Hu F X, Sun J R and Shen B G 2013 Appl. Phys. Lett. 99 132504
[42] Takao Y A, Takashi N, Kengo S, Takatuki A and Hiroaki N 2004 J. Alloys Compd. 376 1
[43] Singh N K, Suresh K G, Nirmala R, Nigam A K and Malik S K 2006 J. Magn. Magn. Mater. 302 302
[44] Tian L, Mo Z J, Gong J J, Sun H B and Gao X Q 2024 Mater. Res. Bull. 177 112828
[45] Zhang H, Sun Y J, Niu E, Yang L H, Shen J and Hu F X 2013 Appl. Phys. Lett. 103 202412
[46] de Castro P B, Terashima K, Yamamoto T D, Hou Z F, Iwasaki S, Matsumoto R, Adachi S, Saito Y, Song P, Takeya H and Takano Y 2020 NPG Asia Mater. 12 35
[47] Zhang Y K, Hao W X, Shen J, Mo Z J, Gottschall T and Li L W 2024 Acta Mater. 276 120128
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