Skip to main content

Anomalous Hall Effect (AHE) and Spin Hall Effect (SHE)

  • Chapter
  • First Online:
Transport Phenomena in Strongly Correlated Fermi Liquids

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 251))

  • 1371 Accesses

Abstract

In this chapter, we study the interesting spin-related transport phenomena that are widely observed in various \(d\)- and \(f\)-electron systems. For example, in the presence of the magnetization \(\mathbf{M}\), charge current is induced by an electric field \(\mathbf{E}\) in parallel to \(\mathbf{M}\times \mathbf{E}\). This phenomenon, which is called the anomalous Hall effect (AHE), has been studied for a long time, and recently attracted renewed interest.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. R. Karplus, J.M. Luttinger, Phys. Rev. 95, 1154 (1954)

    Article  ADS  MATH  Google Scholar 

  2. J.M. Luttinger, Phys. Rev. 112, 739 (1958)

    Article  MathSciNet  ADS  Google Scholar 

  3. J. Smit, Physica 24, 39 (1958)

    Article  ADS  Google Scholar 

  4. L. Berger, Phys. Rev. B 2, 4559 (1970)

    Article  ADS  Google Scholar 

  5. T. Kimura, Y. Otani, T. Sato, S. Takahashi, S. Maekawa, Phys. Rev. Lett. 98, 156601 (2007)

    Article  ADS  Google Scholar 

  6. E. Saitoh, M. Ueda, H. Miyajima, G. Tatara, Appl. Phys. Lett. 88, 182509 (2006)

    Article  ADS  Google Scholar 

  7. S. Murakami, N. Nagaosa, S.C. Zhang, Phys. Rev. B 69, 235206 (2004)

    Article  ADS  Google Scholar 

  8. J. Sinova, D. Culcer, Q. Niu, N.A. Sinitsyn, T. Jungwirth, A.H. MacDonald, Phys. Rev. Lett. 92, 126603 (2004)

    Article  ADS  Google Scholar 

  9. H. Kontani, T. Tanaka, D.S. Hirashima, K. Yamada, J. Inoue, Phys. Rev. Lett. 100, 096601 (2008)

    Article  ADS  Google Scholar 

  10. M. Kontani, D.S. Naito, K. Hirashima, Yamada, and J. Inoue. J. Phys. Soc. Jpn. 76, 103702 (2007)

    Article  ADS  Google Scholar 

  11. T. Tanaka, H. Kontani, M. Naito, T. Naito, D.S. Hirashima, K. Yamada, J. Inoue, Phys. Rev. B 77, 165117 (2008)

    Article  ADS  Google Scholar 

  12. G.Y. Guo, S. Murakami, T.-W. Chen, N. Nagaosa, Phys. Rev. Lett. 100, 096401 (2008)

    Article  ADS  Google Scholar 

  13. H. Kontani, K. Yamada, J. Phys. Soc. Jpn. 63, 2627 (1994)

    Article  ADS  Google Scholar 

  14. H. Kontani, K. Yamada, J. Phys. Soc. Jpn. 66, 2252 (1997)

    Article  ADS  Google Scholar 

  15. P. Streda, J. Phys. C: Solid State Phys. 15, L717 (1982)

    Article  ADS  Google Scholar 

  16. H. Kontani, T. Tanaka, K. Yamada, Phys. Rev. B 75, 184416 (2007)

    Article  ADS  Google Scholar 

  17. D. Thouless, M. Kohmoto, M. Nightingale, M. den Nijs, Phys. Rev. Lett. 49, 405 (1982)

    Article  ADS  Google Scholar 

  18. Y. Yao, L. Kleinman, A.H. MacDonald, J. Sinova, T. Jungwirth, D. Wang, E. Wang, Q. Niu, Phys. Rev. Lett. 92, 37204 (2004)

    Article  ADS  Google Scholar 

  19. Z. Fang et al., Science 302, 92 (2003)

    Article  ADS  Google Scholar 

  20. T. Miyasato, N. Abe, T. Fujii, A. Asamitsu, S. Onoda, Y. Onose, N. Nagaosa, Y. Tokura, Phys. Rev. Lett. 99, 086602 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hiroshi Kontani .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kontani, H. (2013). Anomalous Hall Effect (AHE) and Spin Hall Effect (SHE). In: Transport Phenomena in Strongly Correlated Fermi Liquids. Springer Tracts in Modern Physics, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35365-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35365-9_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35364-2

  • Online ISBN: 978-3-642-35365-9

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics