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First-Principles Simulation of Magnetic Exchange Force Microscopy on Fe/W(001)

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Noncontact Atomic Force Microscopy

Part of the book series: NanoScience and Technology ((NANO))

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Abstract

Based on density functional theory, we analyze the contrast mechanisms in magnetic exchange force microscopy (MExFM) and present first-principles calculations of the magnetic exchange force between an iron tip and an Fe monolayer on W(001), which is a model system of a two-dimensional antiferromagnet. Our study reveals that a single Fe atom is not an adequate tip model and we use Fe pyramids of five and 14 atoms. We find that the magnetic exchange forces on the tip atoms in the nearest layer from the apex atom are non-negligible and can be opposite to that on the apex atom. In addition, the apex atom interacts not only with the surface atoms underneath but also with the nearest-neighbors in the surface. We show that structural relaxations of tip and sample due to their interaction depend sensitively on the magnetic alignment of the two systems. As a result, the onset of significant magnetic exchange forces is shifted toward larger tip–sample separations which facilitates their detection in MExFM.

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References

  1. I.S. Osborne, Science 294, 1483 (2001)

    Article  CAS  Google Scholar 

  2. M.R. Freeman, B.C. Choi, Science 294, 1484 (2001)

    Article  CAS  Google Scholar 

  3. S. Heinze, M. Bode, A. Kubetzka, O. Pietzsch, X. Nie, S. Blügel, R. Wiesendanger, Science 288, 1805 (2000)

    Article  CAS  Google Scholar 

  4. D. Wortmann, S. Heinze, P. Kurz, G. Bihlmayer, S. Blügel, Phys. Rev. Lett. 86(18), 4132 (2001)

    Article  CAS  Google Scholar 

  5. H. Yang, A.R. Smith, M. Prikhodko, W.R.L. Lambrecht, Phys. Rev. Lett. 89, 226101 (2002)

    Article  CAS  Google Scholar 

  6. A. Kubetzka, P. Ferriani, M. Bode, S. Heinze, G. Bihlmayer, K. von Bergmann, O. Pietzsch, S. Blügel, R. Wiesendanger, Phys. Rev. Lett. 94, 087204 (2005)

    Article  CAS  Google Scholar 

  7. M. Bode, Rep. Prog. Phys. 66, 523 (2003)

    Article  CAS  Google Scholar 

  8. C.L. Gao, U. Schlickum, W. Wulfhekel, J. Kirschner, Phys. Rev. Lett. 98, 107203 (2007)

    Article  CAS  Google Scholar 

  9. C.L. Gao, A. Ernst, A. Winkelmann, J. Henk, W. Wulfhekel, P. Bruno, J. Kirschner, Phys. Rev. Lett. 100, 237203 (2008)

    Article  CAS  Google Scholar 

  10. R. Wiesendanger, D. Bürgler, G. Tarrach, A. Wadas, D. Brodbeck, G.G. Güntherodt, H.-J. Güntherodt, R.J. Gambino, R. Ruf, J. Vac. Sci. Technol. B 9, 519 (1990)

    Article  Google Scholar 

  11. R. Pérez, M.C. Payne, I. Stich, K. Terakura, Phys. Rev. Lett. 78, 678 (1997)

    Article  Google Scholar 

  12. R. Pérez, I. Štich, M.C. Payne, K. Terakura, Phys. Rev. B 58, 10835 (1998)

    Article  Google Scholar 

  13. V. Caciuc, H. Hölscher, S. Blügel, H. Fuchs, Phys. Rev. Lett. 96, 016101 (2006)

    Article  CAS  Google Scholar 

  14. Y. Sugimoto, P. Pou, M. Abe, P. Jelinek, R. Perez, S. Morita, O. Custance, Nature 446, 64 (2007)

    Article  CAS  Google Scholar 

  15. N. Atodiresei, V. Caciuc, S. Blügel, H. Hölscher, Phys. Rev. B 77, 153408 (2008)

    Article  CAS  Google Scholar 

  16. V. Caciuc, H. Hölscher, D. Weiner, H. Fuchs, A. Schirmeisen, Phys. Rev. B. 77, 045411 (2008)

    Article  CAS  Google Scholar 

  17. H. Ness, F. Gautier, Phys. Rev. B 52, 7352 (1995)

    Article  CAS  Google Scholar 

  18. K. Nakamura, H. Hasegawa, T. Oguchi, K. Sueoka, K. Hayakawa, K. Mukasa, Phys. Rev. B 56, 3218 (1997)

    Article  CAS  Google Scholar 

  19. K. Nakamura, T. Oguchi, H. Hasegawa, K. Sueoka, K. Hayakawa, K. Mukasa, Appl. Surf. Sci. 142, 433 (1999)

    Article  CAS  Google Scholar 

  20. A.S. Foster, A.L. Shluger, Surf. Sci. 490, 211 (2001)

    Article  CAS  Google Scholar 

  21. H. Momida, T. Oguchi, J. Phys. Soc. Jpn. 72, 588 (2003)

    Article  CAS  Google Scholar 

  22. H. Momida, T. Oguchi, Surf. Sci. 590, 42 (2005)

    Article  CAS  Google Scholar 

  23. H. Hosoi, K. Sueoka, K. Hayakawa, K. Mukasa, Appl. Surf. Sci. 157, 218 (2000)

    Article  CAS  Google Scholar 

  24. H. Hosoi, K. Sueoka, K. Mukasa, Nanotechnology 15, 505 (2004)

    Article  CAS  Google Scholar 

  25. H. Hölscher, S.M. Langkat, A. Schwarz, R. Wiesendanger, Appl. Phys. Lett. 81, 4428 (2002)

    Article  CAS  Google Scholar 

  26. S.M. Langkat, H. Hölscher, A. Schwarz, R. Wiesendanger, Surf. Sci. 527, 12 (2003)

    Article  CAS  Google Scholar 

  27. R. Hoffmann, M.A. Lantz, H.J. Hug, P.J.A. van Schendel, P. Kappenberger, S. Martin, A. Baratoff, H.J. Güntherodt, Phys. Rev. B 67, 085402 (2003)

    Article  CAS  Google Scholar 

  28. M. Schmid, J. Mannhart, F.J. Giessibl, Phys. Rev. B 77, 045402 (2008)

    Article  CAS  Google Scholar 

  29. U. Kaiser, A. Schwarz, R. Wiesendanger, Nature 446, 522 (2007)

    Article  CAS  Google Scholar 

  30. U. Kaiser, A. Schwarz, R. Wiesendanger, Phys. Rev. B 77, 153408 (2008)

    Article  CAS  Google Scholar 

  31. R. Schmidt, C. Lazo, H. Hölscher, U.H. Pi, V. Caciuc, A. Schwarz, R. Wiesendanger, S. Heinze, submitted

    Google Scholar 

  32. A. Schwarz, U. Kaiser, R. Schmidt, R. Wiesendanger, in Magnetic Exchange Force Microscopy: Experiment, eds. by S. Morita, F.-J. Giessibl, R. Wiesendanger. NC-AFM, vol II

    Google Scholar 

  33. J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77(18), 3865 (1996)

    Article  CAS  Google Scholar 

  34. G.K.H. Madsen, P. Blaha, K. Schwarz, E. Sjöstedt, L. Nordström, Phys. Rev. B 64(19), 195134 (2001)

    Article  CAS  Google Scholar 

  35. F.J. Giessibl, Phys. Rev. B 1997, 16010 (1997)

    Article  Google Scholar 

  36. U. Dürig, Appl. Phys. Lett. 75, 433 (1999)

    Article  Google Scholar 

  37. N. Sasaki, H. Aizawa, M. Tsukada, Appl. Surf. Sci. 157, 367 (2000)

    Article  CAS  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Applied Physics, University of Hamburg, Jungiusstrasse 11, 20355, Hamburg, Japan

    Cesar Lazo & Stefan Heinze

  2. Institute für Mikrostrukturtechnik, Forschungszentrum Karlsruhe, 76061, Karlsruhe, Germany

    Hendrik Hölscher

  3. Institut für Festkörperforschung (IFF), Foschungszentrum Jülich, Jülich, 52425, Japan

    Vasile Caciuc

Authors
  1. Cesar Lazo
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  2. Hendrik Hölscher
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  3. Vasile Caciuc
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  4. Stefan Heinze
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Corresponding author

Correspondence to Cesar Lazo .

Editor information

Editors and Affiliations

  1. Graduate School of Engineering, Dept. of Electrical, Electronic and, Osaka University, Yamada-Oka 2-1, Suita, 565-0871, Japan

    Seizo Morita

  2. Institut für Experimentelle und, Angewandte Physik, Universität Regensburg, Universitätsstr. 31, Regensburg, 93053, Germany

    Franz J. Giessibl

  3. FB Physik, Inst. Angewandte Physik, Universität Hamburg, Jungiusstr. 11, Hamburg, 20355, Germany

    Roland Wiesendanger

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Lazo, C., Hölscher, H., Caciuc, V., Heinze, S. (2009). First-Principles Simulation of Magnetic Exchange Force Microscopy on Fe/W(001). In: Morita, S., Giessibl, F., Wiesendanger, R. (eds) Noncontact Atomic Force Microscopy. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01495-6_14

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