Skip to main content

Domain Wall Formation in Ferromagnetic Layers: An Ab Initio Study

  • Chapter
  • 1096 Accesses

Part of the Advances in Solid State Physics book series (ASSP,volume 46)

Abstract

Domain walls are an inherent feature of ferromagnetic (FM) films consisting of layers with different magnetic orientations. Since FM films are used in electrical devices the question of the influence of domain walls on, e.g., the magnetoresistance has attracted much interest. Besides discussing the resistance contribution of domain walls, it is appropriate to study different types of domain walls and their energy of formation. The behaviour of domain walls is usually discussed within model calculations. In the present paper it is done within an ab initio Green’s function technique for layered systems, i.e., the fully relativistic, spin-polarized screened Korringa-Kohn Rostoker method. Results are presented for fcc Co layers covered by two semi-infinite fcc Pt(001) bulk systems or by bulk fcc Co(001), respectively. The resistance, which is caused by the different types of domain walls is discussed within a Kubo-Greenwood approach considering Co(001)/Co24/Co(001) as an example.

Keywords

  • Domain Wall
  • Sheet Resistance
  • Total Magnetic Moment
  • Bulk System
  • Magnetic Orientation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-540-38235-5_20
  • Chapter length: 12 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   189.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-38235-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   249.99
Price excludes VAT (USA)
Hardcover Book
USD   249.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Maekawa, T. Shinjo (Eds.): Spin dependent transport in magnetic nanostructures, Advances in Condensed Matter Science (Taylor & Francis 2002)

    Google Scholar 

  2. F. Jorgensen (Ed.): The complete handbook of magnetic recording (TAB Books, New York 1996)

    Google Scholar 

  3. A. Hubert, R. Schaefer (Eds.): Magnetic domains (Springer, New York 1998)

    Google Scholar 

  4. A. D. Kent, U. Rüdiger, S. Parkin: Domain wall resistivity in epitaxial thin film microstructures, J. Phys.: Condens. Matt. 13, R461 (2001)

    CrossRef  ADS  Google Scholar 

  5. L. Berger: Analysis of measured transport properties of domain walls in magnetic nanowires and films, Phys. Rev. B 73, 014407 (2006)

    CrossRef  ADS  Google Scholar 

  6. J. F. Gregg, W. Allen, K. Ounadjela, M. Viret, M. Hehn, S. M. Thompson, J. M. D. Coey: Giant magnetoresistive effects in a single element magetnic thin film, Phys. Rev. Lett. 77, 1580 (1996)

    CrossRef  ADS  Google Scholar 

  7. G. Dumpich, T. P. Krome, B. Hausmanns: Magnetresistance of a single Co wire, J. Magn. Magn. Mater. 248, 241 (2002)

    CrossRef  ADS  Google Scholar 

  8. P. M. Levy, S. Zhang: Resistivity due to domain wall scattering, Phys. Rev. Lett. 79, 5110 (1997)

    CrossRef  ADS  Google Scholar 

  9. R. Wieser, U. Nowak, K. D. Usadel: Domain wall mobility in nanowires: transverse versus vortex walls, Phys. Rev. B 69, 64401 (2004)

    CrossRef  ADS  Google Scholar 

  10. M. Bolte, G. Meier, C. Bayer: Spin-wave eigenmodes of Landau domain patterns, Phys. Rev. B 73, 052406 (2006)

    CrossRef  ADS  Google Scholar 

  11. J. Schwitalla, B. L. Györffy, L. Szunyogh: Electronic theory of bloch walls in ferromagnets, Phys. Rev. B 63, 104423 (2001)

    CrossRef  ADS  Google Scholar 

  12. S. Gallego, P. Weinberger, L. Szunyoggh, P. M. Levy, C. Sommers: Ab initio description of domain walls in permalloy: Energy of formation and resistivities, Phys. Rev. B 68, 054406 (2003)

    CrossRef  ADS  Google Scholar 

  13. R. Kubo: Statistical-mechanical theory of irreversible processes I. general theory and simple application to magnetic and conduction problems, J. Phys. Soc. Jpn. 12, 570 (1957)

    CrossRef  ADS  MathSciNet  Google Scholar 

  14. P. Weinberger, L. Szunyogh: Perpendicular magnetism in magnetic multilayer systems, Comp. Mater. Sci. 17, 414 (2000)

    CrossRef  Google Scholar 

  15. L. Szunyogh, B. újfalussy, P. Weinberger: Magnetic anisotropy of iron multilayers on Au(001): first-principles calculations in terms of the fully relativistic spin-polarized screened KKR method, Phys. Rev. B 51, 9552 (1995)

    CrossRef  ADS  Google Scholar 

  16. P. Weinberger: Ab initio theory of electric transport in solid systems with reduced dimensions, Physics Reports 377, 281 (2003)

    MATH  CrossRef  ADS  Google Scholar 

  17. H. J. F. Jansen: Magnetic anisotropy in density-functional thoery, Phys. Rev. B 59, 4699 (1999)

    CrossRef  ADS  Google Scholar 

  18. S. Hashimoto, Y. Ochiai: Co/Pt and Co/Pd multilayers as magneto-optical recording materials, J. Magn. Magn. Mater. 88, 211 (1990)

    CrossRef  ADS  Google Scholar 

  19. H. C. Herper: Calculated employing WIEN97 within the generalized gradient approximation, private communication

    Google Scholar 

  20. H. C. Herper, P. Weinberger, L. Szunyogh, C. Sommers: Interlayer exchange coupling and perpendicular electric transport in Fe/Si/Fe trilayers, Phys. Rev. B 66, 064426 (2002)

    CrossRef  ADS  Google Scholar 

  21. H. C. Herper: Domain wall resistance in Co layers: An ab initio study, to be published in Phys. Rev. B

    Google Scholar 

  22. P. Weinberger, L. Szunyogh, C. Blaas, C. Sommers: Perpendicular transport in Fe/Ge model heterostructures, Phys. Rev. B 64, 184429 (2001)

    CrossRef  ADS  Google Scholar 

  23. H. C. Herper, P. Weinberger, A. Vernes, L. Szunyogh, C. Sommers: Electric transport in Fe/ZnSe/Fe heterostructures, Phys. Rev. B 64, 184442 (2001)

    CrossRef  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Herper, H.C. (2008). Domain Wall Formation in Ferromagnetic Layers: An Ab Initio Study. In: Advances in Solid State Physics. Advances in Solid State Physics, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38235-5_20

Download citation