On the Nature of Ferromagnetism in Oxide Semiconductors Doped with 3D Elements

A. A. Achkeev   ; I. R. Vakhitov   ; R. I. Khaibullin

Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 11-25

Résumé

The origin and mechanisms of ferromagnetism in the new class of magnetic materials, oxide-diluted magnetic semiconductors (O-DMS), are examined in the framework of the Stoner–Anderson model. Within the Green function formalism, a condition (the Stoner criterion) for nucleation of ferromagnetism is obtained for itinerant electrons in the narrow defect (vacancy) band, and an additional contribution caused by the interaction with 3d magnetic ions is derived. The “trigger” character of the transition to the ferromagnetic state in O-DMS is discussed in its dependence on the type and concentration of 3d magnetic impurity dopant. The results of the calculations are compared with the experimental data for the spontaneous magnetic moment in semiconducting titanium dioxide (TiO$_2$) doped with 3d magnetic ions and containing various concentrations of oxygen vacancies.

Détail

Keywords: oxide-diluted magnetic semiconductors, oxygen vacancies, narrow defect bands, Stoner criterion.
Mots-clés : ferromagnetism

Bibliographie

[1] Matsumoto Y., Murakami M., Shono T., Hasegawa T., Fukumura T., Kawasaki M., Ahmet P., Chikyow T., Koshihara S., Koinuma H., “Room-temperature ferromagnetism in transparent transition metal-doped titanium dioxide”, Science, 291 (2001), 854–856 | DOI

[2] Ueda K., Tabata H., Kawai T., “Magnetic and electric properties of transition-metal-doped ZnO films”, Appl. Phys. Lett, 79 (2001), 988–990 | DOI

[3] Janisch R., Gopal P., Spaldin N. A., “Transition metal-doped TiO$_2$ and ZnO — present status of the field”, J. Phys.: Cond. Matter, 17 (2005), R657–R689 | DOI

[4] Chambers S. A., “Ferromagnetism in doped thin-film oxide and nitride semiconductors and dielectrics”, Surf. Sci. Rep., 61 (2006), 345–381 | DOI

[5] Khaibullin R. I., Tagirov L. R., Rameev B. Z., Ibragimov Sh.Z., Yildiz F., Aktas B., “High Curie-temperature ferromagnetism in cobalt-implanted single-crystalline rutile”, J. Phys.: Cond. Matter, 16 (2004), L443–L449 | DOI

[6] Shutthanandan V., Thevuthasan S., Heald S. M., Droubay T., Engelhard M. H., Kaspar T. C., McCready D. E., Saraf L., Chambers S. A., Mun B. S., Hamdan N., Nachimuthu P., Taylor B., Sears R. P., Sinkovic B., “Room-temperature ferromagnetism in ion-implanted Co-doped TiO$_2$(110) rutile”, Appl. Phys. Lett., 84 (2004), 4466–4468 | DOI

[7] Coey J. M. D., Douvalis A. P., Fitzgerald C. B., Venkatesan M., “Ferromagnetism in Fe doped SnO$_2$ thin films”, Appl. Phys. Lett., 84 (2004), 1332–1334 | DOI

[8] Kim J. Y., Park J. H., Park B. G., Noh H. J., Oh S. J., Yang J. S., Kim D. H., Bu S. D., Noh T. W., Lin H. J., Hsieh H. H., Chen C. T., “Ferromagnetism induced by clustered Co in Co-doped anatase TiO2 thin films”, Phys. Rev. Lett., 90 (2003), 017401-1–017401-4 | DOI

[9] Kim D. H., Yang J. S., Kim Y. S., Kim D. W., Noh T. W., Bu S. D., Kim Y. W., Park Y. D., Pearton S. J., Jo Y., Park J. G., “Superparamagnetism in Co-ion-implanted anatase TiO2 thin films and effects of postannealing”, Appl. Phys. Lett., 83 (2003), 4574–4576 | DOI

[10] Khin Y., Lu J., Stampe P. A., Kennedi R. J., “Crystallographically orientated fcc-Co nanocrystals in rutile TiO$_2$ thin films”, Appl. Phys. Lett., 88 (2006), 112512-1–112512-3 | DOI

[11] Khaibullin R. I., Ibragimov Sh. Z., Tagirov L. R., Popok V. N., Khaibullin I. B., “Formation of anisotropic ferromagnetic response in rutile (TiO$_2$) implanted with cobalt ions”, Nucl. Instrum. Meth. Phys. Res. B, 257 (2007), 369–373 | DOI

[12] Khaibullin R. I., Tagirov L. R., Ibragimov Sh. Z., Valeev V. F., Nuzhdin V. I., Osin Yu. N., Achkeev A. A., Faizrakhmanov I. A., Cherkashin N. A., “Ferromagnetizm i dve magnitnye fazy v rutile (TiO$_2$), implantirovannom ionami kobalta”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 149:3 (2007), 31–41

[13] Achkeev A. A., Khaibullin R. I., Tagirov L. R., Mackova A., Hnatowicz V., Cherkashin N., “Osobennosti glubinnykh profilei raspredeleniya implantirovannykh ionov kobalta v rutile TiO$_2$”, Fizika tverdogo tela, 53:3 (2011), 508–517

[14] Coey J. M. D., Venkatesan M., Fitzgerald C. B., “Donor impurity band exchange in dilute ferromagnetic oxides”, Nature Materials, 4 (2005), 173–179 | DOI

[15] Dietl T., “A ten-year perspective on dilute magnetic semiconductors and oxides”, Nature Materials, 9 (2010), 965–974 | DOI

[16] Coey J. M. D., Stamenov P., Gunning R. D., Venkatesan M., Paul K., “Ferromagnetism in defect-ridden oxides and related materials”, New J. Phys., 12 (2010), 11–14 | DOI

[17] Kikoin K., “Ferromagnetic ordering in dilute magnetic dielectrics with and without free carriers”, J. Magn. Magn. Mater., 321 (2009), 702–705 | DOI

[18] Kikoin K., Fleurov V., “Superexchange in dilute magnetic dielectrics: Application to (Ti, Co)O$_2$”, Phys. Rev. B, 74 (2006), 174407–174415 | DOI

[19] Korbecka A., Majewski J. A., “On the origin of room-temperature ferromagnetism in wide-gap semiconductors”, Low Temp. Phys., 35:1 (2009), 53–57 | DOI

[20] Chambers S. A., “Ferromagnetism in doped thin-film oxide and nitride semiconductors and dielectrics”, Surf. Sci. Rep., 61 (2006), 345–381 | DOI

[21] Yoon S. D., Chen Y., Yang A., Goodrich T. L., Zuo X., Ziemer K., Vittoria C., Harris V. G., “Magnetic semiconducting anatase TiO$_{2-\sigma}$ grown on (100) LaAlO$_3$ having magnetic order up to 880 K”, J. Magn. Magn. Mater., 309 (2007), 171–175 | DOI

[22] Malati M. A., Wong W. K., “Doping TiO$_2$ for solar energy applications”, Surf. Technol., 22:4 (1984), 305–322 | DOI

[23] Breckenridge R. G., Hosler W. R., “Electrical properties of titanium dioxide semiconductors”, Phys. Rev., 91:4 (1953), 793–802 | DOI

[24] Vonsovskii S. V., Magnetizm, Nauka, M., 1971, 1032 pp.

[25] Hubbard J., “Electron correlation in narrow energy bands”, Proc. Roy. Soc. Lond. A, 276:1365 (1963), 238–257 | DOI

[26] Hubbard J., “Electron correlation in narrow energy bands”, Proc. Roy. Soc. Lond. A, 281 (1964), 401–419 | DOI

[27] Anderson P. W., “Localized magnetic states in metals”, Phys. Rev., 124:1 (1961), 41–53 | DOI | MR

[28] Smith D. A., “A model for electron correlations in hybrid bands”, J. Phys. S (Proc. Phys. Soc.), 21 (1968), 1263–1278 | DOI

[29] Kuzmin E. V., Petrakovskii G. A., Zavadskii E. A., Fizika magnitouporyadochennykh veschestv, Nauka, Novosibirsk, 1976, 287 pp.

[30] Kim D. J., “Ferromagnetism in Dilute Alloys”, Phys. Rev., 149:2 (1966), 434–439 | DOI

[31] Hong N. H., Sakai J., Prellier W., Hassini A., Ruyter A., Gervais F., “Ferromagnetism in transition-metal-doped TiO$_2$ thin films”, Phys. Rev. B, 70 (2004), 195204-1–195204-6 | DOI

[32] Duhalde S., Torres R. C. E., Vignolo M. F., Golmar F., Chillote C., Cabrera A. F., Sanchez F. H., “Ferromagnetism in doped TiO$_2$ thin films prepared by PLD”, J. Phys.: Conf. Series, 59 (2007), 479–482 | DOI

[33] Orlov A. F., Kulemanov I. V., Parkhomenko Yu. N., Perov N. S., Semisalova A. S., “Razrabotka ferromagnitnykh poluprovodnikov dlya primeneniya v spinovoi elektronike: sostoyanie i perspektivy”, Materialy elektronnoi tekhniki, 2011, no. 3, 4–12

[34] Kaspar T. C., Heald S. M., Wang C. M., Bryan J. D., Droubay T., Shutthanandan V., Thevuthasan S., McCready D. E., Kellock A. J., Gamelin D. R., Chambers S. A., “Negligible magnetism in excellent structural quality Cr$_x$Ti$_{1-x}$O${_2}$ anatase: contrast with high T$_c$ ferromagnetism in structurally defective Cr$_x$Ti$_{1-x}$O$_2$”, Phys. Rev. Lett., 95:21 (2005), 217203–217206 | DOI

[35] Xu J. P., Lin Y. B., Lu Z. H., Liu X. C., Lu Z. L., Wang J. F., Zou W. Q., Lv L. Y., Zhang F. M., “Enhanced ferromagnetism in Mn-doped TiO$_2$ films during the structural phase transition”, Sol. State Commun., 140 (2006), 514–518 | DOI

[36] Orlov A. F., Balagurov L. A., Konstantinova A. S., Perov N. S., Yarkin D. G., “Giant magnetic moments in dilute magnetic semiconductors”, J. Magn. Magn. Mater, 320:6 (2008), 895–897 | DOI

[37] Hou D. L., Meng H. J., Jia L. Y., Ye X. J., Zhou H. J., Li X. L., “Oxygen vacancy enhanced the room temperature ferromagnetism in Ni-doped TiO$_2$ thin films”, Phys. Lett. A, 364 (2007), 318–322 | DOI

[38] Wang Y. X., Hui Liua, Li Z. Q., Zhang X. X., Zheng R. K., Ringer S. P., “Role of structural defects on ferromagnetism in amorphous Cr-doped TiO$_2$ films”, Appl. Phys. Lett., 89:4 (2006), 042511–042513 | DOI

[39] Xu J. P., Wang J. F., Lin Y. B., Liu X. C., Lu Z. L., Lu Z. H., Lv L. Y., Zhang F. M., Du Y. W., “Effect of annealing ambient on the ferromagnetism of Mn-doped anatase TiO$_2$ films”, J. Phys. D: Appl. Phys., 40:16 (2007), 4757–4760 | DOI

[40] Kim K. J., Park Y. R., Ahn G. Y., Kim Ch. S., Park J. Y., “Ferromagnetic properties of anatase Ti$_{1-x}$Fe$_x$O$_{2-\sigma}$ thin films”, J. Appl. Phys., 99 (2006), 08M120-1–08M120-3 | DOI

[41] Han G. C., Luo P., Guo Z. B., Fiaz Un Nahar, Tay M., Wu Y. H., Wang S. J., “Co-doped TiO$_2$ epitaxial thin films grown by sputtering”, Thin Solid Films, 505:1–2 (2006), 137–140 | DOI

[42] Cho J. H., Hwang T. J., Joh Y. G., Kim E. C., Kim D. H., Lee K. J., Park H. W., Ri H.C., Kim J. P., Cho C. R., “Room-temperature ferromagnetism in highly-resistive Ni-doped TiO$_2$”, Appl. Phys. Lett., 88:9 (2006), 092505-1–092505-3 | DOI

[43] Abragam A., Blini B., Elektronnyi paramagnitnyi rezonans perekhodnykh ionov, v. 1, Mir, M., 1972, 651 pp.

[44] Sundaresan A., Rao C. N. R., “Ferromagnetism as a universal feature of nanoparticles”, Nanotoday, 4 (2009), 096–106 | DOI

[45] Khaibullin R. I., Bazarov V. V., Osin Yu. N., Ibragimov Sh. Z., Tagirov L. R., “Vliyanie kislorodnykh vakansii na ferromagnetizm magnitorazbavlennykh oksidnykh poluprovodnikov”, Nanofizika i nanoelektronika, Materialy XIII Simpoziuma (16–20 marta 2009 g.), v. 1, Izd. tsentr IFM RAN, N. Novgorod, 2009, 90