najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2020-11-5-565-571najo-398Research ArticleCHEMISTRY AND MATERIALS SCIENCEХИМИЯ И НАУКА О МАТЕРИАЛАХSpin-glass transition in porous spheres BiFeO3DmitrievA. V.

91, Pervomaiskaya Str., Ekaterinburg, 620990

dmitriev@ihim.uran.ruVladimirovaE. V.

91, Pervomaiskaya Str., Ekaterinburg, 620990

SemkinM. A.

48, Kuibyshev Str., Ekaterinburg

KorolevA. V.

18, S. Kovalevskaya Str., Ekaterinburg, 620108

Institute of Solid State Chemistry, UB RASRussian FederationUral Federal University, Department of MagnetismRussian FederationM.N. Mikheev Institute of Metal Physics UB RASRussian Federation202029072025115565–571Copyright © Dmitriev A.V., Vladimirova E.V., Semkin M.A., Korolev A.V., 20252025Dmitriev A.V., Vladimirova E.V., Semkin M.A., Korolev A.V.Dmitriev A.V., Vladimirova E.V., Semkin M.A., Korolev A.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/398

Magnetic properties of porous spheres BiFeO3 have been studied at temperatures ranging from 2 to 300 K. A transition to cluster spin glass state has been detected in the region of about 100 K. The presence of the transition is confirmed by nonlinear variation of coercive force and the appearance of exchange displacement of magnetic hysteresis loops at temperature below 100 K. Temperature dependence of magnetization for zero-field cooled regime exhibit a maximum at some temperature Tm. The function Tm(H) (H is magneic field) changes in accordance with Almeida–Thouless line. The performed measurements of the frequency dependence of AC susceptibility confirm the behavior of spin glass with spin freezing temperature Tf = 116 K. The critical index zν = 2.5 agrees well with the mean-field theory zν = 2.0.

bismuth ferritemagnetic propertiesporous spheresAlmeida–Thouless linespin cluster glassThis work was supported by a research program at the Institute of Solid State Chemistry. The authors are grateful to Dr. Maria V. Lukashova (OOO “Tescan”, Saint Petersburg, Russia) for scanning microscopy and 3D FIB-SEM tomography.ReferencesCatalan G., Scott J.F. Physics and applications of bismuth ferrite. Adv. Materials, 2009, 21, P. 2463–2485.Catalan G., Scott J.F. Physics and applications of bismuth ferrite. Adv. Materials, 2009, 21, P. 2463–2485.Pyatakov A.P., Zvezdin A.K. Magnetoelectric and multiferroic media. Uspekhi fizicheskikh nauk, 2012, 182, P. 593–620. (in Russian)Pyatakov A.P., Zvezdin A.K. Magnetoelectric and multiferroic media. Uspekhi fizicheskikh nauk, 2012, 182, P. 593–620. (in Russian)Tae-Jin Park, Papaefthymiou G.C., et al. Size-dependent magnetic properties of single-crystalline multiferroic BiFeO3nanoparticles. Nano Lett., 2007, 7 (3), P. 766–772.Tae-Jin Park, Papaefthymiou G.C., et al. Size-dependent magnetic properties of single-crystalline multiferroic BiFeO3nanoparticles. Nano Lett., 2007, 7 (3), P. 766–772.Ederer C., Spaldin N.A. Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite. Phys. Rev. B, 2005, 71, 060401.Ederer C., Spaldin N.A. Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite. Phys. Rev. B, 2005, 71, 060401.Carranza-Celis D., Cardona-Rodr´ıguez A., et. al. Control of Multiferroic properties in BiFeO3 nanoparticles. Scientific Reports, 2019, 9, 3182.Carranza-Celis D., Cardona-Rodr´ıguez A., et. al. Control of Multiferroic properties in BiFeO3 nanoparticles. Scientific Reports, 2019, 9, 3182.Sando D., Barthel´ eemy A., Bibes M. BiFeO´ 3 epitaxial thin films and devices: past, present and future. J. Phys.: Condens. Matter, 2014, 26, 473201.Sando D., Barthel´ eemy A., Bibes M. BiFeO´ 3 epitaxial thin films and devices: past, present and future. J. Phys.: Condens. Matter, 2014, 26, 473201.Sining Dong, Yiping Yao, et al. Dynamic properties of spin cluster glass and the exchange bias effect in BiFeO3 nanocrystals. Nanotechnology, 2011, 22, 385701.Sining Dong, Yiping Yao, et al. Dynamic properties of spin cluster glass and the exchange bias effect in BiFeO3 nanocrystals. Nanotechnology, 2011, 22, 385701.Manoj Singh K., Prellier W., et al. Spin-glass transition in single-crystal BiFeO3. Phys. Rev. B, 2008, 77, 144403.Manoj Singh K., Prellier W., et al. Spin-glass transition in single-crystal BiFeO3. Phys. Rev. B, 2008, 77, 144403.Fengzhen Huang, Xingyu Xu, et al. The exchange bias behavior of BiFeO3 nanoparticles with natural core-shell structure. Scientific Reports, 2018, 8, 2311.Fengzhen Huang, Xingyu Xu, et al. The exchange bias behavior of BiFeO3 nanoparticles with natural core-shell structure. Scientific Reports, 2018, 8, 2311.Cazayous M., Gallais Y., et al. Possible Observation of Cycloidal Electromagnons in BiFeO3. Phys. Rev. Lett., 2008, 101, 037601.Cazayous M., Gallais Y., et al. Possible Observation of Cycloidal Electromagnons in BiFeO3. Phys. Rev. Lett., 2008, 101, 037601.Jarrier R., Marti X., et. al. Surface phase transitions in BiFeO3 below room temperature. Phys. Rev. B, 2012, 85, 184104.Jarrier R., Marti X., et. al. Surface phase transitions in BiFeO3 below room temperature. Phys. Rev. B, 2012, 85, 184104.Goswami S., Bhattacharya D. Magnetic transition at ∼150 K in nanoscale BiFeO3. Journal of Alloys and Compounds, 2018, 783, P. 277–282.Goswami S., Bhattacharya D. Magnetic transition at ∼150 K in nanoscale BiFeO3. Journal of Alloys and Compounds, 2018, 783, P. 277–282.Lomanova N.A., Tomkovich M.V., et al. Magnetic properties of Bi1−xCaxFeO3−δ nanocrystals. J. Nanopart. Res., 2018, 20 (17), P. 12–17.Lomanova N.A., Tomkovich M.V., et al. Magnetic properties of Bi1−xCaxFeO3−δ nanocrystals. J. Nanopart. Res., 2018, 20 (17), P. 12–17.Komogortsev S.V., Fel’k V.A., Li O.A. The magnetic dipole–dipole interaction effect on the magnetic hysteresis at zero temperature in nanoparticles randomly dispersed within a plane. Journal of Magnetism and Magnetic Materials, 2019, 473 (1), P. 410–415.Komogortsev S.V., Fel’k V.A., Li O.A. The magnetic dipole–dipole interaction effect on the magnetic hysteresis at zero temperature in nanoparticles randomly dispersed within a plane. Journal of Magnetism and Magnetic Materials, 2019, 473 (1), P. 410–415.Guilherme H.F. Melo, Joro P.F. Santos, et al. Correlation between electrospinning parameters and magnetic properties of BiFeO3 nanofibers Electrospinning, 2017, 1, P. 73–86.Guilherme H.F. Melo, Joro P.F. Santos, et al. Correlation between electrospinning parameters and magnetic properties of BiFeO3 nanofibers Electrospinning, 2017, 1, P. 73–86.Lei Wu, Wenbo Sui, et al. One-dimensional BiFeO3 Nanotubes: Preparation, Characterization, Improved Magnetic Behaviors, and Prospects. Applied Surface Science, 2016, 384, P. 368–375.Lei Wu, Wenbo Sui, et al. One-dimensional BiFeO3 Nanotubes: Preparation, Characterization, Improved Magnetic Behaviors, and Prospects. Applied Surface Science, 2016, 384, P. 368–375.Dmitriev A.V., Vladimirova A.V., et al. Hollow spheres of BiFeO3: Synthesis and properties. Journal of Alloys and Compounds, 2018, 743, P. 654–657.Dmitriev A.V., Vladimirova A.V., et al. Hollow spheres of BiFeO3: Synthesis and properties. Journal of Alloys and Compounds, 2018, 743, P. 654–657.Dmitriev A.V., Vladimirova A.V., et al. Synthesis of hollow spheres of BiFeO3 from nitrate solutions with tartaric acid: Morphology and magnetic properties. Journal of Alloys and Compounds, 2019, 777, P. 586–592.Dmitriev A.V., Vladimirova A.V., et al. Synthesis of hollow spheres of BiFeO3 from nitrate solutions with tartaric acid: Morphology and magnetic properties. Journal of Alloys and Compounds, 2019, 777, P. 586–592.Dmitriev A.V., Vladimirova A.V., et al. Self-Assembly of Hollow Bismuth Ferrite Spheres from Nitrate Solutions. Journal of Electronicmaterials, 2019, 48 (8), P. 4959–4969.Dmitriev A.V., Vladimirova A.V., et al. Self-Assembly of Hollow Bismuth Ferrite Spheres from Nitrate Solutions. Journal of Electronicmaterials, 2019, 48 (8), P. 4959–4969.Klug H.P., Alexander L.E. X-ray Diffraction Procedures for Polycrystalline and Amorphous Materials. Wiley-Interscience, New York, 1974, 992 p.Klug H.P., Alexander L.E. X-ray Diffraction Procedures for Polycrystalline and Amorphous Materials. Wiley-Interscience, New York, 1974, 992 p.Selbach S.M., Tybell T., Mari-Ann Einarsrud, Tor Grande. Size-Dependent Properties of Multiferroic BiFeO3 Nanoparticles. Chem. Mater., 2007, 19, P. 6478–6484.Selbach S.M., Tybell T., Mari-Ann Einarsrud, Tor Grande. Size-Dependent Properties of Multiferroic BiFeO3 Nanoparticles. Chem. Mater., 2007, 19, P. 6478–6484.Nakamura S., Soeya S., Ikeda N., Tanaka M. Spin-glass behavior in amorphous BiFeOs. J. Appl. Phys., 1993, 74, P. 5652–5657.Nakamura S., Soeya S., Ikeda N., Tanaka M. Spin-glass behavior in amorphous BiFeOs. J. Appl. Phys., 1993, 74, P. 5652–5657.Martinez B., Obradors X., et al. Low Temperature Surface Spin-Glass Transition in γ-Fe2O3 Nanoparticles. Phys. Rev. Lett., 1998, 80, P. 181–183.Martinez B., Obradors X., et al. Low Temperature Surface Spin-Glass Transition in γ-Fe2O3 Nanoparticles. Phys. Rev. Lett., 1998, 80, P. 181–183.Manoj K. Singh, Ram S Katiyar, Prellier W., Scott J.F. The Almeida–Thouless line in BiFeO3: is bismuth ferrite a mean field spin glass? J. Phys.: Condens. Matter, 2009, 21, 042202.Manoj K. Singh, Ram S Katiyar, Prellier W., Scott J.F. The Almeida–Thouless line in BiFeO3: is bismuth ferrite a mean field spin glass? J. Phys.: Condens. Matter, 2009, 21, 042202.Mydosh J.A. Disordered magnetism and spin glasses. J. Magn. Magn. Mater., 1996, 158, P. 606–610.Mydosh J.A. Disordered magnetism and spin glasses. J. Magn. Magn. Mater., 1996, 158, P. 606–610.Bedanta S., Kleemann W. Supermagnetism. J. Phys. D: Appl. Phys., 2009, 42, 013001.Bedanta S., Kleemann W. Supermagnetism. J. Phys. D: Appl. Phys., 2009, 42, 013001.Mukadam M.D., Yusuf S.M., et al. Dynamics of spin clusters in amorphous Fe2O3. Phys. Rev. B, 2005, 72, 174408.Mukadam M.D., Yusuf S.M., et al. Dynamics of spin clusters in amorphous Fe2O3. Phys. Rev. B, 2005, 72, 174408.Tholence J.L. On the frequency dependence of the transition temperature in spin glasses. Solid State Commun., 1993, 88, P. 917–921.Tholence J.L. On the frequency dependence of the transition temperature in spin glasses. Solid State Commun., 1993, 88, P. 917–921.Hohenberg P.C., Halperin B.I. Theory of Dynamic Critical Phenomena. Rev. Mod. Phys., 1977, 49, P. 435–479.Hohenberg P.C., Halperin B.I. Theory of Dynamic Critical Phenomena. Rev. Mod. Phys., 1977, 49, P. 435–479.Pimenov A., Mukhin A.A., et al. Possible evidence for electromagnons in multiferroicmanganites. Nat. Phys., 2006, 2, P. 97–100.Pimenov A., Mukhin A.A., et al. Possible evidence for electromagnons in multiferroicmanganites. Nat. Phys., 2006, 2, P. 97–100.

The authors declare that there are no conflicts of interest present.