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Local-Moment Ferromagnets pp 131–145Cite as

Exchange Interactions and Magnetic Percolation in Diluted Magnetic Semiconductors

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Part of the book series: Lecture Notes in Physics ((LNP,volume 678))

Abstract

We propose a theory that combines first-principles evaluations of interatomic exchange interactions with a classical Heisenberg model and Monte Carlo simulations. Exchange interactions are determined using the magnetic force theorem and the one-electron Green functions. The magnetic properties of diluted magnetic semiconductors are dominated by short ranged interatomic exchange interactions that have a strong directional dependence. We show that critical temperatures of a broad range of diluted magnetic semiconductors, involving Mn-doped GaAs and GaN as well as Cr-doped ZnTe, are reproduced with a good accuracy only when the magnetic atoms are randomly positioned on the Ga (Zn) sites, whereas an ordered structure of the magnetic atoms results in critical temperatures that are too high. This suggests that the ordering of diluted magnetic semiconductors is heavily influenced by magnetic percolation, and that the measured critical temperatures should be very sensitive to details of the sample preparation, in agreement with observations.

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References

  1. A.I. Liechtenstein, M.I. Katsnelson, V.P. Antropov, V.A. Gubanov: J. Magn. Magn. Mat. 67, 65 (1987)

    Article  ADS  Google Scholar 

  2. V.P. Antropov, B.N. Harmon, A.N. Smirnov: J. Magn. Magn. Mater. 200, 148 (1999)

    Article  ADS  Google Scholar 

  3. P.H. Dederichs, S. Blügel, R. Zeller, H. Akai: Phys. Rev. Lett. 53, 2512 (1984)

    Article  ADS  Google Scholar 

  4. S.V. Halilov, H. Eschrig, A.Y. Perlov, P.M. Oppeneer: Phys. Rev. B 58, 293 (1998)

    Article  ADS  Google Scholar 

  5. L.M. Sandratskii: J. Phys.: Condens. Matter 3, 8565 (1991)

    Article  ADS  Google Scholar 

  6. L.M. Sandratskii, P. Bruno: Phys. Rev. B 66, 134435 (2002). See also Sandratskii's contribution in this volume

    Article  ADS  Google Scholar 

  7. J. Kudrnovský, I. Turek, V. Drchal, F. Máca, P. Weinberger, P. Bruno: Phys. Rev. B 69, 115208 (2004)

    Article  ADS  Google Scholar 

  8. M. Pajda, J. Kudrnovský, I. Turek, V. Drchal, P. Bruno: Phys. Rev. B 64, 174402 (2001)

    Article  ADS  Google Scholar 

  9. I. Turek, J. Kudrnovský, G. Bihlmayer, S. Blügel: J. Phys.: Condens. Matter 15, 2771 (2003); I. Turek, J. Kudrnovský, M. Diviš, P. Franek, G. Bihlmayer, S. Blügel: Phys. Rev. B 68, 224431, (2003)

    Article  ADS  Google Scholar 

  10. M. Pajda, J. Kudrnovský, I. Turek, V. Drchal, P. Bruno: Phys. Rev. Lett. 85, 5424 (2000)

    Article  ADS  Google Scholar 

  11. I. Turek, V. Drchal, J. Kudrnovský, M. Šob, P. Weinberger: Electronic Structure of Disordered Alloys, Surfaces and Interfaces, (Kluwer, Boston, 1997); I. Turek, J. Kudrnovský, V. Drchal: In Electronic Structure and Physical Properties of Solids, ed. H. Dreyssé, Lecture Notes in Physics 535, (Springer, Berlin, 2000), pp 349--378

    Google Scholar 

  12. P. Bruno, J. Kudrnovský, V. Drchal, I. Turek: Phys. Rev. Lett. 76, 4254 (1996); J. Kudrnovský, V. Drchal, I. Turek, P. Bruno, P. Dederichs, P. Weinberger: In Electronic Structure and Physical Properties of Solids, ed. H. Dreyssé, Lecture Notes in Physics 535, (Springer, Berlin, 2000), pp 313--346

    Article  ADS  Google Scholar 

  13. J.A. Blackman, R.J. Elliott: J. Phys C 2, 1670 (1969)

    Article  ADS  Google Scholar 

  14. T. Dietl, H. Ohno, F. Matsukara: Phys. Rev. B 63, 195205 (2001)

    Article  ADS  Google Scholar 

  15. P.J. de Gennes: J. Phys. Radium 23, 630 (1962)

    Article  Google Scholar 

  16. P.M. Levy, S. Maekawa, P. Bruno: Phys. Rev. B 58, 5588 (1998)

    Article  ADS  Google Scholar 

  17. G. Bouzerar, P. Bruno: Phys. Rev. B 66, 014410 (2002)

    Article  ADS  Google Scholar 

  18. G. Bouzerar, J. Kudrnovský, L. Bergqvist, P. Bruno: Phys. Rev. B 68, 205311 (2003)

    Article  ADS  Google Scholar 

  19. L. Bergqvist, P.A. Korzhavyi, B. Sanyal, S. Mirbt, I.A. Abrikosov, L. Nordström, E.A. Smirnova, P. Mohn, P. Svedlindh, O. Eriksson: Phys. Rev. B 67, 205201 (2003)

    Article  ADS  Google Scholar 

  20. J.M. Ziman: Models of Disorder, (Cambridge University Press, Cambridge, 1979)

    Google Scholar 

  21. A. Kaminski and S. Das Sarma: Phys. Rev. B 68, 235210 (2003)

    Article  ADS  Google Scholar 

  22. J. Kudrnovský, V. Drchal, C. Blaas, P. Weinberger, I. Turek, P. Bruno: Phys. Rev. B 62, 15084 (2000)

    Article  ADS  Google Scholar 

  23. D.P. Landau, K. Binder: A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, 2000)

    MATH  Google Scholar 

  24. L. Bergqvist, O. Eriksson, J. Kudrnovský, V. Drchal, P. Korzhavyi, I. Turek: Phys. Rev. Lett. 93, 137202 (2004); G. Bouzerar, T. Ziman, J. Kudrnovský: Europhys. Lett. 69, 812 (2005)

    Article  ADS  Google Scholar 

  25. H. Ohno: Science 281, 951 (1998); T. Hayashi, Y. Hashimoto, S. Katsumoto, Y. Iye: Appl. Phys. Lett. 78, 3271 (2001); K.W. Edmonds, K.Y. Wang, R.P. Campion, A.C. Neumann, N.R.S. Farley, B.L. Gallagher, C.T. Foxon: Appl. Phys. Lett. 81, 4991 (2002)

    Article  ADS  Google Scholar 

  26. M.L. Reed, N.A. El-Masry, H.H. Stadelmaier, M.E. Ritums, N.J. Reed, C.A. Parker, J.C. Roberts, S.M. Bedair: Appl. Phys. Lett. 79, 3473 (2001); M. Zajac, J. Gosk, M. Kaminska, A. Twardowski, T. Szysko, S. Podsiadlo: Appl. Phys. Lett. 79, 2432 (2001)

    Article  ADS  Google Scholar 

  27. H. Saito, V. Zayets, S. Yamagata, K. Ando: Phys. Rev. Lett. 90, 207202 (2003)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Physics Academy of Science of the Czech Republic, Prague, Czech Republic

    J. Kudrnovský & V. Drchal

  2. Department of Physics, Uppsala University, Uppsala, Sweden

    L. Bergqvist & O. Eriksson

  3. Institute of Physics of Materials Academy of Science of the Czech Republic, Brno, Czech Republic

    I. Turek

  4. Department of Electronic Structures, Charles University, Prague, Czech Republic

    I. Turek

  5. Institut Laue – Langevin, Grenoble, France

    G. Bouzerar

Authors
  1. J. Kudrnovský
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  2. L. Bergqvist
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  3. O. Eriksson
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  4. V. Drchal
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  5. I. Turek
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  6. G. Bouzerar
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Markus Donath Wolfgang Nolting

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Kudrnovský, J., Bergqvist, L., Eriksson, O., Drchal, V., Turek, I., Bouzerar, G. Exchange Interactions and Magnetic Percolation in Diluted Magnetic Semiconductors. In: Donath, M., Nolting, W. (eds) Local-Moment Ferromagnets. Lecture Notes in Physics, vol 678. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11417255_9

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  • DOI: https://doi.org/10.1007/11417255_9

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  • Print ISBN: 978-3-540-27286-1

  • Online ISBN: 978-3-540-31516-2

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