Abstract
Isothermal magnetization data in the critical region of the ferromagnetic transition for Co-doped SnO2-based diluted magnetic semiconductor were measured and analyzed in terms of the modified Arrott plot method and, independently by the Kouvel–Fisher method. The critical exponents β,γ, and δ, corresponding to spontaneous magnetization, initial susceptibility and isothermal magnetization, respectively, were determined and the values are found to be comparable to the mean-field model. The critical exponent values are found to be consistent with the Widom scaling relation and the universal scaling hypothesis. The temperature variation of the effective critical exponent is found to show the characteristic behavior of a disordered system.
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Dietl, T.: A ten-year perspective on dilute magnetic semiconductors and oxides. Nat. Mater. 9, 965–974 (2010)
Park, W.K., Ortega-Hertogs, R.J., Moodera, J.S., Punnoose, A., Seehra, M.S.: Semiconducting and ferromagnetic behavior of sputtered Co-doped TiO2 thin films above room temperature. J. Appl. Phys. 91, 8093 (2002)
Coey, J.M.D., Venkatesan, M., Fitzgerald, C.B.: Donor impurity band exchange in dilute ferromagnetic oxides. Nat. Mater. 4, 173 (2005)
Song, C., Geng, K.W., Zeng, F., Wang, X.B., Shen, Y.X., Pan, F., Xie, Y.N., Liu, T., Zhou, H.T., Fan, Z.: Giant magnetic moment in an anomalous ferromagnetic insulator: Co-doped ZnO. Phys. Rev. B 73(2), 024405 (2006)
Ogale, S.B., Choudhary, R.J., Buban, J.P., Lofland, S.E., Shinde, S.R., Kale, S.N., Kulkarni, V.N., Higgins, J., Lanci, C., Simpson, J.R., Browning, N.D., Sarma, S.D., Drew, H.D., Greene, R.L., Venkatesan, T.: High temperature ferromagnetism with a giant magnetic moment in transparent Co-doped SnO2. Phys. Rev. Lett. 91, 077205 (2003)
Matsumoto, Y., Murakami, M., Shono, T., Hasegawa, T., Fukumura, T., Kawasaki, M., Ahmet, P., Chikyow, T., Koshihara, S.-y, Koinuma, H.: Room-temperature ferromagnetism in transparent transition metal-doped titanium dioxide. Science 291, 854 (2001)
Kharel, P., Sudakar, C., Sahana, M.B., Lawes, G., Suryanarayanan, R., Naik, R., Naik, V.M.: Room temperature ferromagnetism in Cr-doped In2O3 on high vacuum annealing of thin films and bulk samples. J. Appl. Phys. 101, 09H117 (2007)
Chopra, K.L., Major, S., Pandya, D.K.: Transparent conductors—a status review. Thin Solid Films 102, 1–46 (1983)
Kravets, V.G., Poperenko, L.V.: Magnetic ordering effects in the Raman spectra of Sn1−x Co x O2. J. Appl. Phys. 103, 083904 (2008)
Mohanty, S., Ravi, S.: Ferromagnetism and bound magnetic polaron behavior in bulk Sn1−x Co x O2. Solid State Commun. 150, 739 (2010)
Bouaine, A., Brihi, N., Schmerber, G., Ulhaq-Bouillet, C., Colis, S., Dinia, A.: Structural, optical, and magnetic properties of Co-doped SnO2 powders synthesized by the coprecipitation technique. J. Phys. Chem. C 7, 111 (2007)
Hays, J., Punnoose, A., Baldner, R., Engelhard, M.H., Peloquin, J., Reddy, K.M.: Relationship between the structural and magnetic properties of Co-doped SnO2 nanoparticles. Phys. Rev. B 72, 075203 (2005)
Gopinadhan, K.C., Kashyap, S.K., Pandya, D., Chaudhary, S.: Evidence of carrier mediated room temperature ferromagnetism in transparent semiconducting Sn1−x Co x O2−δ thin films. J. Phys. Condens. Matter 20, 125208 (2008)
Punnoose, A., Hays, J., Gopal, V., Shutthanandan, V.: Room-temperature ferromagnetism in chemically synthesized Sn1−x Co x O2 powders. Appl. Phys. Lett. 85, 1559 (2004)
Cabrera, A.F., Navarro, A.M.M., Torres, C.E.R.G., Sanchez, F.H.: Mechanosynthesis of Fe-doped SnO2 nanoparticles. Physica B 398, 215 (2007)
Mohanty, S., Ravi, S.: Magnetic properties of Sn1−x Ni x O2-based diluted magnetic semiconductors. Solid State Commun. 150, 1570 (2010)
Coey, J.M.D., Douvalis, A.P., Fitzgerald, C.B., Venkatesan, M.: Ferromagnetism in Fe-doped SnO2 thin films. Appl. Phys. Lett. 84, 1332 (2003)
Hong, N.H., Sakai, J., Huong, N.T., Poirot, N., Ruyter, A.: Role of defects in tuning ferromagnetism in diluted magnetic oxide thin films. Phys. Rev. B 72(4), 045336 (2005)
Hong, N.H., Ruyter, A., Prellier, W., Sakai, J., Huong, N.T.: Magnetism in Ni-doped SnO2 thin films. J. Phys. Condens. Matter 17, 6533 (2005)
Mohanty, S., Ravi, S.: Ferromagnetism in mechanically milled Sn1−x Co x O2 (x=0 to 0.10) compounds. J. Supercond. Nov. Magn. (2011)
Dietl, T., Haury, A., Merle d’Aubigna, Y.: Free carrier-induced ferromagnetism in structures of diluted magnetic semiconductors. Phys. Rev. B, Condens. Matter 55(6), R3347–R3350 (1997)
Lin, H.-T., Chin, T.-S., Shih, J.-C., Lin, S.-H., Hong, T.-M., Huang, R.-T., Chen, F.-R., Kai, J.-J.: Enhancement of ferromagnetic properties in Zn1−x Co x O by additional Cu doping. Appl. Phys. Lett. 85, 621 (2004)
Wolff, P.A., Bhatt, R.N., Durst, A.C.: Polaronpolaron interactions in diluted magnetic semiconductors. J. Appl. Phys. 79, 5196 (1996)
Kaminski, A., Sarma, S.D.: Polaron percolation in diluted magnetic semiconductors. Phys. Rev. Lett. 88, 247202 (2002)
Venkatesan, M., Fitzgerald, C.B., Lunney, J.G., Coey, J.M.D.: Anisotropic ferromagnetism in substituted zinc oxide. Phys. Rev. Lett. 93(17), 177206 (2004)
Wang, X.L., Dai, Z.X., Zeng, Z.: Search for ferromagnetism in SnO2 doped with transition metals (V, Mn, Fe, and Co). J. Phys. Condens. Matter 20, 045214 (2008)
Tiwari, A., Bhosle, V.M., Ramachandran, S., Sudhakar, N., Narayan, J., Budak, S., Gupta, A.: Ferromagnetism in Co doped CeO2: observation of a giant magnetic moment with a high Curie temperature. Appl. Phys. Lett. 88, 142511 (2006)
Stanley, H.E.: Introduction to Phase Transition and Critical Phenomena. Oxford University Press, London (1971)
Kaul, S.N.: Static critical phenomena in ferromagnets with quenched disorder. J. Magn. Magn. Mater. 53, 5 (1985)
Fisher, M.E.: Renormalization of critical exponents by hidden variables. Phys. Rev. 176, 257 (1968)
Fukuma, Y., Tanaka, K., Asada, H., Koyanagi, T.: Long-range ferromagnetic interaction in Ge1−x Mn x Te with high x. J. Magn. Magn. Mater. 310, e723–e725 (2007)
Priour, D.J., Jr., Sarma, S.D.: Critical behavior of diluted magnetic semiconductors: Apparent violation and eventual restoration of the Harris criterion for all regimes of disorder. Phys. Rev. B 81, 224403 (2010)
Hamedoun, M., Masrour, R., Bouslykhane, K., Hourmatallah, A., Benzakour, N., Benyoussef, A.: Phase diagrams of nanoparticles of diluted magnetic semiconductors. Moroc. J. Condens. Matter 10, 31 (2008)
Arrott, A.: Criterion for ferromagnetism from observations of magnetic isotherms. Phys. Rev. 108(6), 1394 (1957)
Banerjee, S.K.: On a generalised approach to first and second order magnetic transition. Phys. Lett. 12, 16 (1964)
Widom, B.: Equation of state in the neighborhood of the critical point. J. Chem. Phys. 43, 3898 (1965)
Arrott, A., Noakes, J.E.: Approximate equation of state for nickel near its critical temperature. Phys. Rev. Lett. 19(14), 786 (1967)
Kim, D., Zink, B.L., Hellman, F., Coey, J.M.D.: Critical behavior of La0.75Sr0.25MnO3. Phys. Rev. B 65(21), 214424 (2002)
Samantaray, B., Ravi, S., Perumal, A.: Critical behavior studies in ferromagnetic (Nd,K)–Mn–O compounds. J. Magn. Magn. Mater. 322, 3391 (2010)
Kouvel, J.S., Fisher, M.E.: Detailed magnetic behavior of nickel near its curie point. Phys. Rev. A 136, 1626 (1964)
Padmanabhan, B., Bhat, H.L., Elizabeth, S., Rößler, S., Rößler, U.K., Dörr, K., Müller, K.H.: Critical properties in single crystals of Pr1−x Pb x MnO3. Phys. Rev. B 75, 024419 (2007)
Harris, J.L., Shand, P.M., Shapoval, L.V., VanWaardhuizen, A., Strauss, L.H.: Magnetic behavior of the II–V-diluted magnetic semiconductor Cd1−x Mn x Sb. J. Magn. Magn. Mater. 321, 1072 (2009)
Flores, A.G., Raposo, V., Iniguez, J., Garcia-Beneytez, J.M., Arcas, J., Vazquez, M.: Suceptibility characterization of phase transition in Ti0.2Fe2.8O4 ferrite. Phys. Status Solidi A 191, 555 (2002)
Berzhanskii, V.N., Ivanov, V.I.: Critical relaxation of uniform precession of magnetization in cubic ferrimagnets. Phys. Status Solidi, B Basic Res. 151, 259 (1989)
Haug, M., Fahnle, M., Kronmuller, H.: The magnetic phase transition in ordered and disordered ferrimagnets. J. Magn. Magn. Mater. 69, 163 (1987)
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The authors are thankful to Department of Science and Technology, New Delhi (Sanction No. SR/S2/CMP-0078/2010(G)) and Board of Research in Nuclear Sources, Mumbai (Sanction no. 2010/37P/10/BRNS) for financial support.
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Mohanty, S., Ravi, S. Critical Behavior of Ferromagnetic Transition in SnO2-Based Diluted Magnetic Semiconductor. J Supercond Nov Magn 26, 157–164 (2013). https://doi.org/10.1007/s10948-012-1697-8
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DOI: https://doi.org/10.1007/s10948-012-1697-8