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Physics of Metals and Metallography

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01.11.2023 | ELECTRICAL AND MAGNETIC PROPERTIES

Magnetocaloric Effect and Phase Separation: Theory and Prospects

verfasst von: P. A. Igoshev

Erschienen in: Physics of Metals and Metallography | Ausgabe 11/2023

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Abstract

The paper considers the influence of magnetic phase separation on the magnitude of the magnetocaloric effect. A general thermodynamic generalized Landau’s theory with a variable number of particles is proposed, which allows a simple and consistent description of the first-order phase transition between magnetically ordered and disordered phases, considering phase separation. The calculation of the magnetic susceptibility and entropy of the phases involved in phase separation is considered. It is shown that the magnetic susceptibility of the magnetically ordered (disordered) phase involved in phase separation is negative (positive) in the vicinity of the tricritical point, which can lead to an inversion of the sign of the magnetocaloric effect.

Vorheriger Artikel Thermal Contact Resistance of the Copper–Copper Pair with Graphene Thermal Interface in Magnetic Fields up to 10 T

Nächster Artikel Magnetocaloric Effect in La(Fe,Mn,Si)13Hx Based Composites: Experiment and Theory

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E. Warburg, “Magnetische Untersuchungen,” Ann. Phys. 249, 141–164 (1881). https://doi.org/10.1002/andp.18812490510CrossRef

K. A. Gschneidnerjr, V. K. Pecharsky, and A. O. Tsokol, “Recent developments in magnetocaloric materials,” Rep. Prog. Phys. 68, 1479–1539 (2005). https://doi.org/10.1088/0034-4885/68/6/r04CrossRef

V. Franco, J. S. Blázquez, B. Ingale, and A. Conde, “The magnetocaloric effect and magnetic refrigeration near room temperature: Materials and models,” Annu. Rev. Mater. Res. 42, 305–342 (2012). https://doi.org/10.1146/annurev-matsci-062910-100356CrossRef

L.-W. Li, “Review of magnetic properties and magnetocaloric effect in the intermetallic compounds of rare earth with low boiling point metals,” Chin. Phys. B 25, 037502 (2016). https://doi.org/10.1088/1674-1056/25/3/037502CrossRef

V. Franco, J. S. Blázquez, J. J. Ipus, J. Y. Law, L. M. Moreno-Ramírez, and A. Conde, “Magnetocaloric effect: From materials research to refrigeration devices,” Prog. Mater. Sci. 93, 112–232 (2018). https://doi.org/10.1016/j.pmatsci.2017.10.005CrossRef

H. Fu, Z. Ma, X. J. Zhang, D. H. Wang, B. H. Teng, and E. Agurgo Balfour, “Table-like magnetocaloric effect in the Gd–Co–Al alloys with multi-phase structure,” Appl. Phys. Lett. 104 (2014). https://doi.org/10.1063/1.4865554

E. Agurgo Balfour, Z. Ma, H. Fu, R. L. Hadimani, D. C. Jiles, L. Wang, Y. Luo, and S. F. Wang, “Table-like magnetocaloric effect in Gd₅₆Ni₁₅Al₂₇Zr₂ alloy and its field independence feature,” J. Appl. Phys. 118, 123903 (2015). https://doi.org/10.1063/1.4931765CrossRef

G. L. Liu, D. Q. Zhao, H. Y. Bai, W. H. Wang, and M. X. Pan, “Room temperature table-like magnetocaloric effect in amorphous Gd₅₀Co₄₅Fe₅ ribbon,” J. Phys. D: Appl. Phys. 49, 055004 (2016). https://doi.org/10.1088/0022-3727/49/5/055004CrossRef

Q. Zheng, L. Zhang, and J. Du, “Table-like magnetocaloric effect in Gd–Ni–Al amorphous/nanocrystalline composites,” J. Phys. D: Appl. Phys. 50, 355601 (2017). https://doi.org/10.1088/1361-6463/aa7a8fCrossRef

10.

X. C. Zhong, X. Y. Shen, H. Y. Mo, D. L. Jiao, Z. W. Liu, W. Q. Qiu, H. Zhang, and R. V. Ramanujan, “Table-like magnetocaloric effect and large refrigerant capacity in Gd₆₅Mn₂₅Si_10-Gd composite materials for near room temperature refrigeration,” Mater. Today Commun. 14, 22–26 (2018). https://doi.org/10.1016/j.mtcomm.2017.12.005CrossRef

11.

N. A. De Oliveira and P. J. von Ranke, “Theoretical aspects of the magnetocaloric effect,” Phys. Rep. 489, 89–159 (2010). https://doi.org/10.1016/j.physrep.2009.12.006CrossRef

12.

P. A. Igoshev, E. E. Kokorina, and I. A. Nekrasov, “Investigation of the magnetocaloric effect in correlated metallic systems with Van Hove singularities in the electron spectrum,” Phys. Met. Metallogr. 118, 207–216 (2017). https://doi.org/10.1134/s0031918x17030048CrossRef

13.

N. G. Bebenin, R. I. Zainullina, and V. V. Ustinov, “Magnetocaloric effect in inhomogeneous ferromagnets,” J. Appl. Phys. 113 (2013). https://doi.org/10.1063/1.4792306

14.

V. V. Ivchenko and P. A. Igoshev, “Emerging mechanisms of magnetocaloric effect in phase-separated metals,” Phys. Rev. B 104, 024425 (2021). https://doi.org/10.1103/physrevb.104.024425CrossRef

15.

P. A. Igoshev, L. N. Gramateeva, and A. V. Lukoyanov, “Giant kinks in the entropy change temperature dependence of the magnetocaloric effect in layered phase-separated metals,” Phys. Chem. Chem. Phys. 25, 6995–7002 (2023). https://doi.org/10.1039/d2cp05923aCrossRef

16.

P. A. Igoshev, A. A. Katanin, H. Yamase, and V. Yu. Irkhin, “Spin fluctuations and ferromagnetic order in two-dimensional itinerant systems with Van Hove singularities,” J. Magn. Magn. Mater. 321, 899–902 (2009). https://doi.org/10.1016/j.jmmm.2008.11.048CrossRef

17.

P. A. Igoshev, M. A. Timirgazin, A. A. Katanin, A. K. Arzhnikov, and V. Yu. Irkhin, “Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest- and next-nearest-neighbor hopping,” Phys. Rev. B 81, 094407 (2010). https://doi.org/10.1103/physrevb.81.094407CrossRef

18.

P. A. Igoshev, M. A. Timirgazin, A. K. Arzhnikov, and V. Yu. Irkhin, “Effect of electron correlations on the formation of spiral magnetic states in the two-dimensional t-t′ Hubbard model,” JETP Lett. 98, 150–155 (2013). https://doi.org/10.1134/s0021364013160054CrossRef

19.

P. A. Igoshev, M. A. Timirgazin, V. F. Gilmutdinov, A. K. Arzhnikov, and V. Yu. Irkhin, “Spiral magnetism in the single-band Hubbard model: The Hartree–Fock and slave-boson approaches,” J. Phys.: Condens. Matter 27, 446002 (2015). https://doi.org/10.1088/0953-8984/27/44/446002CrossRef

20.

P. A. Igoshev, M. A. Timirgazin, A. K. Arzhnikov, T. V. Antipin, and V. Yu. Irkhin, “Spiral magnetic order, non-uniform states and electron correlations in the conducting transition metal systems,” J. Magn. Magn. Mater. 440, 66–69 (2017). https://doi.org/10.1016/j.jmmm.2016.12.064CrossRef

21.

P. B. Visscher, “Phase separation instability in the Hubbard model,” Phys. Rev. B 10, 943–945 (1973). https://doi.org/10.1103/physrevb.10.943CrossRef

22.

P. A. Igoshev, M. A. Timirgazin, A. K. Arzhnikov, and V. Yu. Irkhin, “Magnetic phase transitions and unusual antiferromagnetic states in the Hubbard model,” J. Magn. Magn. Mater. 459, 311–316 (2018). https://doi.org/10.1016/j.jmmm.2017.10.007CrossRef

23.

E. L. Nagaev, “Phase separation in high-temperature superconductors and related magnetic systems,” Phys.-Usp. 38, 497–520 (1995). CrossRef

24.

E. L. Nagaev, “Colossal-magnetoresistance materials: Manganites and conventional ferromagnetic semiconductors,” Phys. Rep. 346, 387–531 (2001). https://doi.org/10.1016/s0370-1573(00)00111-3CrossRef

25.

L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd ed., Course of Theoretical Physics, Vol. 5 (Butterworth-Heinemann, Amsterdam, 1980).

26.

T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism, Springer Series in Solid-State Sciences, Vol. 56 (Springer, Berlin, 1985). https://doi.org/10.1007/978-3-642-82499-9

27.

P. A. Igoshev, A. A. Katanin, and V. Yu. Irkhin, “Magnetic fluctuations and itinerant ferromagnetism in two-dimensional systems with Van Hove singularities,” J. Exp. Theor. Phys. 105, 1043–1056 (2007). https://doi.org/10.1134/s1063776107110167CrossRef

28.

K. K. Murata and S. Doniach, “Theory of magnetic fluctuations in itinerant ferromagnets,” Phys. Rev. Lett. 29, 285–288 (1972). https://doi.org/10.1103/physrevlett.29.285CrossRef

29.

H. Yamada and T. Goto, “Itinerant-electron metamagnetism and giant magnetocaloric effect,” Phys. Rev. B 68, 184417 (2003). https://doi.org/10.1103/physrevb.68.184417CrossRef

30.

D. Bloch, D. M. Edwards, M. Shimizu, and J. Voiron, “First order transitions in ACo₂ compounds,” J. Phys. F: Met. Phys. 5, 1217–1226 (1975). https://doi.org/10.1088/0305-4608/5/6/022CrossRef

31.

N. H. Duc, D. Givord, C. Lacroix, and C. Pinettes, “A new approach to itinerant-electron metamagnetism,” Europhys. Lett. 20, 47–52 (1992). https://doi.org/10.1209/0295-5075/20/1/009CrossRef

32.

C. P. Bean and D. S. Rodbell, “Magnetic disorder as a first-order phase transformation,” Phys. Rev. 126, 104–115 (1962). https://doi.org/10.1103/physrev.126.104CrossRef

33.

N. A. de Oliveira, “Magnetocaloric effect in transition metals based compounds: A theoretical approach,” Eur. Phys. J. B: Condens. Matter Complex Syst. 40, 259–264 (2004). https://doi.org/10.1140/epjb/e2004-00267-9CrossRef

34.

L. G. de Medeiros, N. A. de Oliveira, P. J. von Ranke, and A. Troper, “On the magnetocaloric effect of itinerant electron systems with first order transition,” Phys. A: Stat. Mech. Its Appl. 392, 1355–1360 (2013). https://doi.org/10.1016/j.physa.2012.11.046CrossRef

35.

N. A. de Oliveira and P. J. von Ranke, “Theoretical calculations of the magnetocaloric effect in MnFeP_0.45As_0.55: A model of itinerant electrons,” J. Phys.: Condens. Matter 17, 3325–3332 (2005). https://doi.org/10.1088/0953-8984/17/21/025CrossRef

36.

G. J. Liu, J. R. Sun, J. Z. Wang, and J. Z. Shen, “Magnetic field-induced entropy change in phase-separated manganites,” Appl. Phys. Lett. 89, 222503 (2006). https://doi.org/10.1063/1.2397535CrossRef

37.

D. Comtesse, M. E. Gruner, M. Ogura, V. V. Sokolovskiy, V. D. Buchelnikov, A. Grünebohm, R. Arroyave, N. Singh, T. Gottschall, O. Gutfleisch, and others, “First-principles calculation of the instability leading to giant inverse magnetocaloric effects,” Phys. Rev. B 89, 184403 (2014). https://doi.org/10.1103/PhysRevB.89.184403CrossRef

38.

G. J. Liu, J. R. Sun, J. Shen, B. Gao, H. W. Zhang, F. X. Hu, and B. G. Shen, “Determination of the entropy changes in the compounds with a first-order magnetic transition,” Appl. Phys. Lett. 90, 032507 (2007). https://doi.org/10.1063/1.2425033CrossRef

39.

M. Balli, D. Fruchart, D. Gignoux, and R. Zach, “The “colossal” magnetocaloric effect in Mn_1 – xFe_xAs: What are we really measuring?,” Appl. Phys. Lett. 95, 072509 (2009). https://doi.org/10.1063/1.3194144CrossRef

40.

V. K. Pecharsky, K. A. Gschneidner Jr, Ya. Mudryk, and D. Paudyal, “Making the most of the magnetic and lattice entropy changes,” J. Magn. Magn. Mater. 321, 3541–3547 (2009). https://doi.org/10.1016/j.jmmm.2008.03.013CrossRef

41.

K. Xu, Z. Li, Yu.-L. Zhang, and C. Jing, “An indirect approach based on Clausius–Clapeyron equation to determine entropy change for the first-order magnetocaloric materials,” Phys. Lett. A 379, 3149–3154 (2015). https://doi.org/10.1016/j.physleta.2015.10.029CrossRef

42.

F. Casanova, X. Batlle, A. Labarta, J. Marcos, L. Manosa, and A. Planes, “Change in entropy at a first-order magnetoelastic phase transition: Case study of Gd₅(Si_xGe_1 – x)₄ giant magnetocaloric alloys,” J. Appl. Phys. 93, 8313–8315 (2003). https://doi.org/10.1063/1.1556274CrossRef

43.

L. Jia, G. J. Liu, J. R. Sun, H. W. Zhang, F. X. Hu, C. Dong, G. H. Rao, and B. G. Shen, “Entropy changes associated with the first-order magnetic transition in LaFe_13 – xSi_x,” J. Appl. Phys. 100, 123904 (2006). https://doi.org/10.1063/1.2404468CrossRef

44.

K. Matsumoto, T. Okano, T. Kouen, S. Abe, T. Numazawa, K. Kamiya, and S. Nimori, “Magnetic entropy change of magnetic refrigerants with first order phase transition suitable for hydrogen refrigeration,” IEEE Trans. Appl. Supercond. 14, 1738–1741 (2004). https://doi.org/10.1109/TASC.2004.831064CrossRef

45.

S. Yu. Dan’Kov, A. M. Tishin, V. K. Pecharsky, and K. A. Gschneidner, “Magnetic phase transitions and the magnetothermal properties of gadolinium,” Phys. Rev. B 57, 3478 (1998). https://doi.org/10.1103/PhysRevB.57.3478CrossRef

46.

V. K. Pecharsky and K. A. Gschneidner Jr, “Giant magnetocaloric effect in Gd₅(Si₂Ge₂),” Phys. Rev. Lett. 78, 4494 (1997). https://doi.org/10.1103/PhysRevLett.78.4494CrossRef

47.

H. Wada, K. Taniguchi, and Yu. Tanabe, “Extremely large magnetic entropy change of MnAs_1–xSb_x near room temperature,” Mater. Trans. 43, 73–77 (2002). https://doi.org/10.2320/matertrans.43.73CrossRef

48.

O. Tegus, E. Brück, K. H. J. Buschow, and F. R. de Boer, “Transition-metal-based magnetic refrigerants for room-temperature applications,” Nature 415, 150–152 (2002). https://doi.org/10.1038/415150aCrossRef

49.

A. Fujita, K. Fukamichi, J.-T. Wang, and Y. Kawazoe, “Large magnetovolume effects and band structure of itinerant-electron metamagnetic La(Fe_xSi_1 – x)₁₃ compounds,” Phys. Rev. B 68, 104431 (2003). https://doi.org/10.1103/PhysRevB.68.104431CrossRef

50.

V. Franco, J. Y. Law, A. Conde, V. Brabander, D. Y. Karpenkov, I. Radulov, K. Skokov, and O. Gutfleisch, “Predicting the tricritical point composition of a series of LaFeSi magnetocaloric alloys via universal scaling,” J. Phys. D: Appl. Phys. 50, 414004 (2017). https://doi.org/10.1088/1361-6463/aa8792CrossRef

51.

M. H. Phan, M. B. Morales, N. S. Bingham, H. Srikanth, C. L. Zhang, and S. W. Cheong, “Phase coexistence and magnetocaloric effect in La_5/8 – yPr_yCa_3/8MnO₃ (y = 0.275),” Phys. Rev. B 81, 094413 (2010). https://doi.org/10.1103/PhysRevB.81.094413CrossRef

52.

L. Caron, Z. Q. Ou, T. T. Nguyen, D. T. Cam Thanh, O. Tegus, and E. Brück, “On the determination of the magnetic entropy change in materials with first-order transitions,” J. Magn. Magn. Mater. 321, 3559–3566 (2009). https://doi.org/10.1016/j.jmmm.2009.06.086CrossRef

53.

M. P. Annaorazov, K. A. Asatryan, G. Myalikgulyev, S. A. Nikitin, A. M. Tishin, and A. L. Tyurin, “Alloys of the Fe–Rh system as a new class of working material for magnetic refrigerators,” Cryogenics 32, 867–872 (1992). https://doi.org/10.1016/0011-2275(92)90352-BCrossRef

54.

R. R. Gimaev, A. A. Vaulin, A. F. Gubkin, and V. I. Zverev, “Peculiarities of magnetic and magnetocaloric properties of Fe–Rh alloys in the range of antiferromagnet-ferromagnet transition,” Phys. Met. Metallogr. 121, 823–850 (2020). https://doi.org/10.1134/S0031918X20090045CrossRef

55.

X. Zhang, B. Zhang, S. Yu, Z. Liu, W. Xu, G. Liu, J. Chen, Z. Cao, and G. Wu, “Combined giant inverse and normal magnetocaloric effect for room-temperature magnetic cooling,” Phys. Rev. B 76, 132403 (2007). https://doi.org/10.1103/PhysRevB.76.132403CrossRef

56.

R. D. dos Reis, L. M. da Silva, A. O. dos Santos, A. M. N. Medina, L. P. Cardoso, and F. C. G. Gandra, “Anisotropic magnetocaloric effect in ErGa₂ and HoGa₂ single-crystals,” J. alloys compounds 582, 461–465 (2014). https://doi.org/10.1016/j.jallcom.2013.08.023CrossRef

57.

H. Zhang, Y. J. Sun, L. H. Yang, E. Niu, H. S. Wang, F. X. Hu, J. R. Sun, and B. G. Shen, “Successive inverse and normal magnetocaloric effects in HoFeSi compound,” J. Appl. Phys. 115, 063901 (2014). https://doi.org/10.1063/1.4865297CrossRef

58.

G. A. Malygin, “Diffuse martensitic transitions and the plasticity of crystals with a shape memory effect,” Phys.-Usp. 44, 173 (2001). https://doi.org/10.1070/PU2001v044n02ABEH000760CrossRef

59.

O. N. Miroshkina, V. V. Sokolovskiy, M. A. Zagrebin, S. V. Taskaev, and V. D. Buchelnikov, “Theoretical approach to investigation of the magnetic and magnetocaloric properties of Heusler Ni–Mn–Ga alloys,” Phys. Solid State 62, 785–792 (2020). https://doi.org/10.1134/S1063783420050182CrossRef

60.

A. M. Aliev, A. B. Batdalov, L. N. Khanov, A. P. Kamantsev, V. V. Koledov, A. V. Mashirov, V. G. Shavrov, R. M. Grechishkin, A. R. Kaul, and V. Sampath, “Reversible magnetocaloric effect in materials with first order phase transitions in cyclic magnetic fields: Fe₄₈Rh₅₂ and Sm_0.6Sr_0.4MnO₃,” Appl. Phys. Lett. 109, 202407 (2016). https://doi.org/10.1063/1.4968241CrossRef

61.

A. M. Aliev, A. B. Batdalov, L. N. Khanov, A. V. Mashirov, E. T. Dil’mieva, V. V. Koledov, and V. G. Shavrov, “Degradation of the magnetocaloric effect in Ni_49.3Mn_40.4In_10.3 in a cyclic magnetic field,” Phys. Solid State 62, 837–840 (2020). https://doi.org/10.1134/S1063783420050030CrossRef

62.

A. M. Aliev, L. N. Khanov, A. G. Gamzatov, A. B. Batdalov, D. R. Kurbanova, K. I. Yanushkevich, and G. A. Govor, “Giant magnetocaloric effect in MnAs_1 ‒ xP_x in a cyclic magnetic field: Lattice and magnetic contributions and degradation of the effect,” Appl. Phys. Lett. 118, 072404 (2021). https://doi.org/10.1063/5.0038500CrossRef

63.

P. A. Igoshev, N. S. Pavlov, and I. A. Nekrasov (2023). (in press).

Titel: Magnetocaloric Effect and Phase Separation: Theory and Prospects
verfasst von: P. A. Igoshev
Publikationsdatum: 01.11.2023
Verlag: Pleiades Publishing
Erschienen in: Physics of Metals and Metallography / Ausgabe 11/2023
Print ISSN: 0031-918X
Elektronische ISSN: 1555-6190
DOI: https://doi.org/10.1134/S0031918X23602147

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