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Research progress of critical behaviors and magnetocaloric effects of perovskite manganites

Zhang Peng ,  Piao Hong-Guang ,  Zhang Ying-De ,  Huang Jiao-Hong

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Research progress of critical behaviors and magnetocaloric effects of perovskite manganites

Zhang Peng, Piao Hong-Guang, Zhang Ying-De, Huang Jiao-Hong
Acta Phys. Sin., 2021, 70(15): 157501.
doi: 10.7498/aps.70.20210097
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  • Abstract

    Hole-doped perovskite-type manganites have received intensive attention due to their intriguing physical phenomena such as giant magnetocaloric effect and magnetic-phase transitions. However, the mechanism of internal ferromagnetic interaction still needs to be further explored due to the complex natures of competing double-exchange (DE) and super-exchange (SE) interaction, Jahn-Teller (JT) polaron localization, charge ordering, and phase separation scenarios. Critical exponent analysis near magnetic phase transition is a powerful tool to investigate the details of the ferromagnetic interactions and has been used frequently in various magnetocaloric materials. In this article, the critical behavior analyses of perovskite manganites in recent years are comprehensively reviewed. A large number of studies have shown that even in single-phase materials with uniform structure and composition, the critical behavior can be affected by multiple factors such as grain boundary density and the degree of disorder, making them difficult to fully describe the intrinsic ferromagnetism. In this review, firstly, the critical behaviors of typical manganites with different bandwidths in single crystal and polycrystalline are discussed. In a double-exchange dominated system such as La-Sr-Mn-O, short-range 3D-Heisenberg model is basically in good accordance with optimally-doped single crystal sample. However, it would be replaced by long-range mean-field critical behavior in polycrystalline sample when the correlation length exceeds the crystallite size. In a typical intermediate bandwidth system such as La-Ca-Mn-O exhibiting a complex phase diagram described by competing SE/DE interactions, JT polaron localization/delocalization, and Griffith phase disorder, the critical exponent can vary from 3D-Heisenberg model to tricritical mean-field model, for the crossover from first to second order phase transition. Secondly, the studies of elements doping and different fabrication methods indicate that the critical behavior of manganites can be effectively modulated, and vary between different theoretical models including even nonuniversal exponent for highly disordered magnetic system. In the following part, the influence of magnetic field on the critical behavior and field induced crossover phenomena of La-Ca-Mn-O system near tricritical point is analyzed and discussed in detail. Furthermore, the magnetocaloric effects of materials near the tricritical point collected in many studies are listed and compared with each other. Excellent magnetocaloric properties with high magnetic entropy change and relative cooling power in plenty of researches indicate that ideal magnetocaloric material would be very likely to be found in the materials near the tricritical point, which lay at the borderline between first-order and second-order phase transition. Consequently, it is suggested that perovskite manganites are still quite promising in the potential magnetic refrigeration applications, and need to be further developed.

    Authors and contacts

    • 1.

      School of Science, Hubei University of Technology, Wuhan 430068, China

    • 2.

      Research Institute for Magnetoelectronics & Weak Magnetic-field Detection, College of Science, China Three Gorges University, Yichang 443002, China

    • 3.

      Baotou Research Institute of Rare Earths, Baotou 014030, China

      • Corresponding author: Piao Hong-Guang, hgpiao@ctgu.edu.cn
    • Funds: Project supported by the Natural Science Foundation of Hubei Province, China (Grant No. ZRMS2018001866), the Doctoral Research Startup Fund of Hubei University of Technology, China (Grant No. BSQD13030), and the National Key R&D Program of China (Grant No. 2017YFB0903702)

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  • 图 1  理想钙钛矿ABO3立方结构示意图

    Figure 1.  Ideal perovskite ABO3 cubic structure.

    DownLoad: Full-Size Img PowerPoint

    图 2  不同带宽钙钛矿锰氧化物的典型磁相图　(a)大带宽型La1–xSrxMnO3; (b)中等带宽型La1–xCaxMnO3; (c)小带宽型Pr1–xCaxMnO3[15]

    Figure 2.  Typical magnetic phase diagrams of different bandwidth manganites: (a) Large bandwidth La1–xSrxMnO3; (b) intermediate bandwidth La1–xCaxMnO3; (c) small bandwidth Pr1–xCaxMnO3[15].

    DownLoad: Full-Size Img PowerPoint

    图 3  三重临界点的示意图

    Figure 3.  Schematic diagram of Tricritical point.

    DownLoad: Full-Size Img PowerPoint

    表 1  典型理论模型的临界参数

    Table 1.  Critical parameters of theoretical models.

    ModelβγδRef.
    Mean-field0.51.03.0[23]
    Tricritical-Mean-field0.251.05.0[23]
    3D-Heisenberg0.3651.3864.80[24]
    3D-Ising0.3251.2414.82[24]
    DownLoad: CSV

    表 2  典型锰氧化物材料在各种形态下的临界行为分析

    Table 2.  Critical behavior analysis of manganites in different morphologies (SC, single crystal; PC, polycrystalline).

    MaterialTechniqueβγδModelRef.
    La0.7Ba0.3MnO3SCMAP0.351.415.53D-Heisenberg[26]
    La0.7Ba0.3MnO3PCMAP0.4931.0593.15Mean-field[27]
    La0.67Ba0.33MnO3PCMAP0.4641.293.78Mean-field/3D-Heisenberg[28]
    La0.7Sr0.3MnO3SCMAP0.371.224.25close to 3D-Heisenberg[29]
    La0.75Sr0.25MnO3SCMAP0.41.274.12Mean-field/3D-Ising[30]
    La0.8Sr0.2MnO3PCMAP0.51.083.13Mean-field[31]
    La0.875Sr0.125MnO3SCMAP0.371.384.723D-Heisenberg[32]
    La0.6Ca0.4MnO3PCMAP0.251.035Tricritical-Mean-field[33]
    La0.79Ca0.21MnO3SCMAP0.091.7120nonuniversal[34]
    La0.8Ca0.2MnO3SCMAP0.3741.3824.7793D-Heisenberg[35]
    La0.82Ca0.18MnO3SCMAP0.3741.3794.7833D-Heisenberg[35]
    Nd0.6Sr0.4MnO3SCKF0.3081.1724.753D-Ising[36]
    Nd0.6Sr0.4MnO3PCMAP0.511.013.13Mean-field[37]
    Nd0.67Sr0.33MnO3PCMAP0.231.055.13Tricritical-Mean-field[37]
    Nd0.7Sr0.3MnO3PCMAP0.2710.9224.4Tricritical-Mean-field[38]
    Pr0.6Sr0.4MnO3SCKF0.3121.1064.5453D-Ising[36]
    Pr0.6Sr0.4MnO3SCMAP0.3651.3094.6483D-Heisenberg[39]
    Pr0.6Sr0.4MnO3PCMAP0.2760.9184.325Tricritical-Mean-field[40]
    KF0.2731.0014.325
    Pr0.71Ca0.29MnO3SCMAP0.371.384.623D-Heisenberg[41]
    Pr0.71Ca0.29MnO3PCMAP0.5210.9122.71Mean-field[42]
    Pr0.73Ca0.27MnO3SCMAP0.361.364.813D-Heisenberg[41]
    Pr0.73Ca0.27MnO3PCMAP0.3621.1324.093D-Heisenberg[42]
    注: SC表示单晶; PC表示多晶.
    DownLoad: CSV

    表 3  A位掺杂不同元素或空位的锰氧化物临界行为分析

    Table 3.  Critical behavior analysis of manganites doped with different elements (vacancy) at A site (□, Ion vacancy).

    MaterialTechniqueβγδModelRef.
    La0.67(Ca0.5Ba0.5)0.33MnO3MAP0.4021.1103.761Mean-field/3D-Heisenberg[28]
    La0.7Ca0.15Ba0.15MnO3MAP0.4381.0323.360Mean-field[27]
    La0.7Ca0.2Ba0.1MnO3MAP0.2840.9094.200Tricritical-Mean-field/3D-Ising[43]
    KF0.2970.9254.110
    La0.7Ca0.15Sr0.15MnO3MAP0.4911.0543.150Mean-field[27]
    La0.7Ca0.1Sr0.2MnO3KF0.3601.2204.4003D-Heisenberg[44]
    La0.7Ca0.2Sr0.1MnO3KF0.2601.0605.100Tricritical-Mean-field[44]
    La0.69Dy0.01Ca0.3MnO3MAP0.2300.9205.000Tricritical-Mean-field[45]
    KF0.2500.8704.480
    La0.7Ca0.28Sn0.02MnO3KF0.2180.8584.936Tricritical-Mean-field[46]
    La0.7Ca0.26Sn0.04MnO3KF0.4671.0953.345Mean-field[46]
    La0.75Dy0.05Sr0.2MnO3MAP0.2660.9204.460Tricritical-Mean-field[47]
    KF0.2720.9314.420
    La0.1Nd0.6Sr0.3MnO3MAP0.2481.0665.170Tricritical-Mean-field[48]
    KF0.2571.1205.170
    Pr0.4Sm0.15Sr0.45MnO3KF0.3241.2124.8123D-Ising[49]
    Pr0.3Sm0.25Sr0.45MnO3KF0.2550.9575.105Tricritical-Mean-field[49]
    La0.57Nd0.1Sr0.33MnO3MAP0.3561.1524.2353D-Heisenberg[50]
    KF0.3681.1914.236
    La0.57Nd0.1Sr0.28□0.05MnO3MAP0.3121.1734.7603D-Ising[50]
    KF0.3261.1834.619
    Pr0.6Sr0.4MnO3MAP0.2760.9184.325Tricritical-Mean-field[40]
    KF0.2731.0014.325
    Pr0.6Sr0.3□0.1MnO3MAP0.2530.9874.890Tricritical-Mean-field[40]
    KF0.2420.9454.890
    Pr0.5□0.1Sr0.4MnO3MAP0.3231.1134.4463D-Ising[40]
    KF0.3251.0924.446
    注: □表示离子空位.
    DownLoad: CSV

    表 4  B位掺杂不同元素的锰氧化物临界行为分析

    Table 4.  Critical behavior analysis of manganites doped with different elements at B site.

    MaterialTechniqueβγ δModelRef.
    La0.67Ba0.33Mn0.98Ti0.02O3MAP0.5371.0152.890Mean-field[51]
    KF0.5511.0202.851
    La0.67Ba0.33Mn0.95Fe0.05O3KF0.5041.0133.040Mean-field[52]
    La0.7Ba0.3Mn0.95Ti0.05O3MAP0.3741.2284.2603D-Heisenberg[53]
    La0.7Ba0.3Mn0.9Ti0.1O3MAP0.3391.3074.7803D-Ising[53]
    La0.8Ba0.2Mn0.8Fe0.2O3MAP0.3651.2274.3623D-Heisenberg[54]
    KF0.3181.1594.645
    La0.67Sr0.33Mn0.9Fe0.1O3MAP0.4501.2403.740Mean-field/3D-Heisenberg[55]
    KF0.5381.3303.470
    La0.7Sr0.3Mn0.95Al0.05O3KF0.4581.0013.185Mean-field[56]
    La0.7Sr0.3Mn0.95Ti0.05O3KF0.3441.1494.340Mean-field/3D-Heisenberg[56]
    La0.7Sr0.3Mn0.9Co0.1O3KF0.4571.1143.440Mean-field/3D-Heisenberg[57]
    La0.7Sr0.3Mn0.99Ni0.01O3MAP0.3941.0923.990Mean-field/3D-Heisenberg[58]
    La0.7Sr0.3Mn0.98Ni0.02O3MAP0.4001.0823.790Mean-field/3D-Heisenberg[58]
    La0.7Sr0.3Mn0.97Ni0.03O3MAP0.4681.0102.670Mean-field[58]
    La0.7Sr0.3Mn0.98Cu0.02O3KF0.4641.1623.546close to Mean-field[59]
    La0.7Sr0.3Mn0.96Cu0.04O3KF0.4491.2023.681close to Mean-field[59]
    La0.67Ca0.33Mn0.9Cr0.1O3MAP0.5551.1702.710Mean-field[60]
    La0.67Ca0.33Mn0.75Cr0.25O3MAP0.6801.0902.936close to Mean-field[60]
    La0.67Ca0.33Mn0.9Ga0.1O3MAP0.3801.3654.5903D-Heisenberg[61]
    KF0.3871.3624.520
    La0.7Ca0.3Mn0.95Ti0.05O3KF0.6011.1712.950Mean-field[62]
    La0.7Ca0.3Mn0.9Ti0.1O3KF0.3891.4034.4003D-Heisenberg[62]
    La0.7Ca0.3Mn0.91Ni0.09O3MAP0.1710.9766.700Tricritical-Mean-field[63]
    La0.7Ca0.3Mn0.88Ni0.12O3MAP0.2620.9784.700Tricritical-Mean-field[63]
    La0.7Ca0.3Mn0.85Ni0.15O3MAP0.3200.9904.1003D-Ising[63]
    La0.7Ca0.3Mn0.95Cu0.05O3MAP0.4901.0403.120Mean-field[64]
    La0.7Ca0.3Mn0.9Zn0.1O3MAP0.4741.1523.430Mean-field[65]
    La0.8Ca0.2Mn0.9Co0.1O3MAP0.2041.96911.983nonuniversal[66]
    KF0.1231.35111.983
    La0.8Ca0.2Mn0.8Co0.2O3MAP0.4011.3324.3213D-Heisenberg[66]
    KF0.4181.3034.321
    Nd0.67Sr0.33Mn0.9Cr0.1O3MAP0.3370.7843.326nonuniversal[67]
    Nd0.67Sr0.33Mn0.9Fe0.1O3MAP0.4360.943.156Mean-field[67]
    Nd0.67Sr0.33Mn0.9Co0.1O3MAP0.4310.9293.155Mean-field[67]
    Pr0.67Sr0.33Mn0.95Al0.05O3MAP0.3811.3234.6353D-Heisenberg[68]
    KF0.3811.3204.635
    Pr0.67Sr0.33Mn0.9Al0.1O3MAP0.3741.3334.6673D-Heisenberg[68]
    KF0.3771.3314.667
    DownLoad: CSV

    表 5  不同制备方法锰氧化物的临界行为对比分析

    Table 5.  Critical behavior analysis of manganites from different preparation methods (SS, solid state reaction; SG, sol-gel; WM, wet mixing; BM, ball milling).

    MaterialTechniqueβγδModelRef.
    La0.6Sr0.4MnO3SG/800 ºCKF0.5601.1403.035close to Mean-field[69]
    La0.6Sr0.4MnO3SG/1100 ºCKF0.4801.0523.190Mean-field[69]
    La0.6Sr0.4MnO3SSKF0.5301.1103.094Mean-field[69]
    La0.67Sr0.33MnO3SSMAP0.3331.3254.9783D-Heisenberg[70]
    La0.67Sr0.33MnO3SGMAP0.5001.1503.290Mean-field[55]
    KF0.4791.2603.630
    La0.7Ba0.1Ca0.1Sr0.1MnO3WMMAP0.4481.1483.563Mean-field[71]
    KF0.4761.0293.096
    La0.7Ba0.1Ca0.1Sr0.1MnO3SGMAP0.2351.1535.906Tricritical-Mean-field[71]
    KF0.2621.1655.447
    La0.7Ca0.2Ba0.1MnO3BMMAP0.2650.8674.271Tricritical-Mean-field[72]
    KF0.2610.9884.386
    La0.7Ca0.2Ba0.1MnO3SSMAP0.2840.9094.200Tricritical-Mean-field/3D-Ising[43]
    KF0.2970.9254.110
    La0.7Ca0.2Sr0.1MnO3BMMAP0.3970.9663.4303D-Heisenberg[73]
    La0.7Ca0.2Sr0.1MnO3SSMAP0.2760.9664.500Tricritical-Mean-field[74]
    KF0.3150.9544.028
    La0.7Ca0.2Sr0.1MnO3SGMAP0.4841.0373.143Mean-field[74]
    KF0.4691.0133.160
    La0.7Ca0.3MnO3BM/40 nmMAP0.4851.0513.100Mean-field[75]
    La0.7Ca0.3MnO3BM/16 nmMAP0.6210.8252.200nonuniversal
    La0.7Ca0.3MnO3SGMAP0.2401.0103.090Tricritical-Mean-field[76]
    La0.75Ca0.25MnO3SGMAP0.5210.942.804Mean-field[77]
    KF0.5290.9392.775
    La0.8Ca0.2MnO3SGMAP0.5051.0043.060Mean-field[78]
    KF0.4991.0073.060
    Nd0.7Ca0.15Sr0.15MnO3BM/4 hKF0.2430.9074.540Tricritical-Mean-field[79]
    Nd0.7Ca0.15Sr0.15MnO3BM/24 hKF0.3111.1004.1303D-Ising[79]
    Pr0.6Ca0.1Sr0.3Mn0.975Fe0.025O3SSMAP0.6441.0752.763Mean-field[80]
    KF0.6221.0972.763
    Pr0.6Ca0.1Sr0.3Mn0.975Fe0.025O3SGMAP0.3571.2924.2903D-Heisenberg[80]
    KF0.3701.2204.290
    Pr0.8Sr0.2MnO3SGMAP0.2600.9784.760Tricritical-Mean-field[81]
    KF0.2600.9934.810
    Pr0.8Sr0.2MnO3SSMAP0.3181.2604.9603D-Ising[82]
    KF0.3261.2464.960
    注: SS表示固相反应法; SG表示溶胶凝胶法(附烧结温度工艺条件); WM表示湿混法; BM表示球磨法(附平均粒径尺寸或球磨时间等工艺条件).
    DownLoad: CSV

    表 6  关于不同磁场强度范围所得磁相变临界参数的对比分析

    Table 6.  Comparative analysis of critical parameters in different magnetic field ranges.

    MaterialField rangeTechniqueβγδModelRef.
    La0.6Ca0.4MnO31—2 TKF0.2491.0085.043Tricritical-Mean-field[83]
    2—3 TKF0.2550.8574.359crossover
    3—4 TKF0.2620.8334.18crossover
    4—5 TKF0.2670.7973.983crossover
    5—6 TKF0.2630.7763.954close to Tricritical-Mean-field
    La0.8Ca0.2MnO31—2 TKF0.3491.2314.5243D-Heisenberg/Ising[83]
    2—3 TKF0.3161.0814.421crossover
    3—4 TKF0.2810.9924.534crossover
    4—5 TKF0.2720.914.341crossover
    5—6 TKF0.2590.9184.552Tricritical-Mean-field
    La0.7Ca0.275Ba0.025MnO32—3 TMAP0.209——Tricritical-Mean-field[84]
    3—4 TMAP0.2181.0986.04
    4—5 TMAP0.2271.065.67
    La0.7Ca0.25Ba0.05MnO31—2 TMAP0.221——Tricritical-Mean-field[84]
    2—3 TMAP0.2251.0525.68
    3—4 TMAP0.2351.0125.31
    4—5 TMAP0.2491.0225.1
    La0.7Ca0.225Ba0.075MnO31—2 TMAP0.2160.9735.5Tricritical-Mean-field[84]
    2—3 TMAP0.2240.9825.38
    3—4 TMAP0.2381.0165.27
    4—5 TMAP0.2530.9924.92
    La0.7Ca0.2Ba0.1MnO31—2 TMAP0.3011.3825.59Tricritical-Mean-field/3D-Ising[84]
    2—3 TMAP0.3121.385.423D-Ising
    3—4 TMAP0.3221.3815.293D-Ising
    4—5 TMAP0.3261.3425.123D-Ising
    La0.7Ca0.3MnO310—14 TMAP0.2521.005—Tricritical-Mean-field[85]
    DownLoad: CSV

    表 7  接近三重临界点的部分近室温钙钛矿锰氧化物的最大磁熵变和相对制冷能力

    Table 7.  Maximum magnetic entropy change and RCP values of perovskite manganites near tricritical point.

    MaterialTC/KΔH/ T–ΔSM/(J·kg–1·K–1)RCP/(J·kg–1)Ref.
    La0.7Ba0.2Ca0.1MnO3SG35022.3570[87]
    55.80167
    La0.7Ba0.2Ca0.1Mn0.95Al0.05O3SG32122.1285[87]
    55.30180
    La0.7Ba0.2Ca0.1Mn0.9Al0.1O3SG30021.8696[87]
    54.60193
    La0.7Ca0.3MnO3SS25514.5245.2[46]
    La0.7Ca0.28Sn0.02MnO3SS20012.7955.8[46]
    La0.7Ca0.26Sn0.04MnO3SS16711.5869.5[46]
    La0.69Dy0.01Ca0.3MnO3SS246514.94100.24[45]
    La0.6Ca0.3Ag0.1MnO3SS25623.8955.51[88]
    56.95179.78
    La0.6Ca0.3Ag0.1MnO3SG27025.5584.46[88]
    58.67230.35
    La0.6Ca0.3Sr0.1MnO3SG30422.8998.17[89]
    55.26262.53
    La0.7Ca0.2Sr0.1MnO3SS28434.30150[90]
    La0.7Ca0.2Sr0.1MnO3BM29711.4754.4[73]
    La0.7Ca0.19Sr0.11MnO3BM30111.4252.5[73]
    La0.7Ca0.18Sr0.12MnO3BM30911.3844.2[73]
    La0.7Ca0.27Na0.03MnO3SS26048.10232[91]
    La0.7Ca0.24Na0.06MnO3SS26347.00234[91]
    La0.7Ca0.21Na0.09MnO3SS27146.90236[91]
    La0.7Ba0.1Ca0.1Sr0.1MnO3WM31521.34102.51[71]
    53.16284.53
    La0.7Ba0.1Ca0.1Sr0.1MnO3SG33022.5874.92[71]
    54.89229.29
    La0.8Na0.2Mn0.97Bi0.03O3SS32054.77218[92]
    La0.8Na0.2Mn0.97Bi0.03O3SG25755.88252[92]
    La0.4Pr0.3Ca0.1Sr0.2MnO3SS28923.0883.3[86]
    La0.6Gd0.1Sr0.3Mn0.8Si0.2O3SG27155.35180[93]
    La0.7Bi0.05Sr0.15Ca0.1Mn0.95In0.05O3SG31056.00258[94]
    注: 1) 表中符号含义如下: TC为居里温度; ΔH为磁场变化范围; –ΔSM为最大磁熵变值; RCP为相对制冷能力, 由磁熵变曲线的峰值与半峰宽数值相乘而得; 2) SS表示固相反应法; SG表示溶胶凝胶法; WM表示湿混法; BM表示球磨法.
    DownLoad: CSV
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Publishing process
  • Received Date:  15 January 2021
  • Accepted Date:  10 March 2021
  • Available Online:  31 July 2021
  • Published Online:  05 August 2021

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