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Part of the book series: Springer Theses ((Springer Theses))

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Abstract

This book presents some results on anomalous Hall effect in itinerant ferromagnets and on topological Hall effect in itinerant helimagnets. In this first chapter, we explain basic concepts and former research which are necessary to understand the following chapters. First, I introduce a brief history of the two effects, and then move on to the detailed explanation on them. At last, the purpose of this book will be described.

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References

  1. E.H. Hall, Am. J. Math. 2, 287 (1879)

    Article  Google Scholar 

  2. C.L. Chien, C.R. Westgate (eds.), The Hall Effect and Its Applications (Plenum Press, New York, 1980)

    Google Scholar 

  3. E.H. Hall, Phil. Mag. 10, 301 (1880)

    Google Scholar 

  4. E.H. Hall, Phil. Mag. 12, 157 (1881)

    Google Scholar 

  5. A.W. Smith, R.W. Sears, Phys. Rev. 34, 1466 (1929)

    Article  ADS  Google Scholar 

  6. N. Nagaosa, J. Sinova, S. Onoda, A.H. MacDonald, N.P. Ong, Rev. Mod. Phys. 82, 1539 (2010)

    Article  ADS  Google Scholar 

  7. R.E. Prange, S.M. Girvin (eds.), The Quantum Hall Effect (Springer, Berlin, 1987)

    Google Scholar 

  8. E. Xiao, M.-C. Chang, Q. Niu, Rev. Mod. Phys. 82, 1959 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Y. Yao, L. Kleinman, A.H. MacDonald, J. Sinova, T. Jungwirth, D-S. Wang, E. Wang, and Q. Niu. Phys. Rev. Lett. 92, 037204 (2003)

    Article  ADS  Google Scholar 

  10. Z. Fang, N. Nagaosa, K.S. Takahashi, A. Asamitsu, R. Mathieu, T. Ogasawara, H. Yamada, M. Kawasaki, Y. Tokura, K. Terakura, Science 302, 92 (2003)

    Article  ADS  Google Scholar 

  11. W.-L. Lee, S. Watauchi, V.L. Miller, R.J. Cava, N.P. Ong, Science 303, 1647 (2004)

    Article  ADS  Google Scholar 

  12. P.A. Lee, N. Nagaosa, X.-G. Wen, Re. Mod. Phys. 78, 17 (2006)

    Article  ADS  Google Scholar 

  13. J. Ye, Y.B. Kim, A.J. Millis, B.I. Shraiman, P. Majumdar, Z. Tesanovic, Phys. Rev. Lett. 83, 3737 (1999)

    Article  ADS  Google Scholar 

  14. S. Onoda, N. Sugimoto, N. Nagaosa, Phys. Rev. Lett. 97, 126602 (2006)

    Article  ADS  Google Scholar 

  15. J. Weischenberg, F. Freimuth, J. Sinova, S. Blügel, Y. Mokrousov, Phys. Rev. Lett. 107, 106601 (2011)

    Article  ADS  Google Scholar 

  16. 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 

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

    Article  MathSciNet  ADS  Google Scholar 

  18. S. Onoda, N. Sugimoto, N. Nagaosa, Phy. Rev. B 77, 165103 (2008)

    Article  ADS  Google Scholar 

  19. X.-J. Liu, X. Liu, J. Sinova, Phys. Rev. B 84, 165304 (2011)

    Article  ADS  Google Scholar 

  20. S. Iguchi, N. Hanasaki, Y. Tokura, Phys. Rev. Lett. 99, 077202 (2007)

    Article  ADS  Google Scholar 

  21. K. Ueno, T. Fukumura, H. Toyosaki, M. Nakano, M. Kawasaki, Appl. Phys. Lett. 90, 072103 (2007)

    Article  ADS  Google Scholar 

  22. J.H. Cho, T.J. Hwang, D.H. Kim, Y.G. Joh, E.C. Kim, D.H. Kim, W.S. Yoon, H.C. Ri, J. Korean Phys, Soc. 48, 1400 (2006)

    Google Scholar 

  23. R. Ramaneti, J.C. Lodder, R. Jansen, Appl. Phys. Lett. 91, 012502 (2007)

    Article  ADS  Google Scholar 

  24. H. Toyosaki, T. Fukumura, Y. Yamada, K. Nakajima, T. Chikyow, T. Hasegawa, H. Koinuma, M. Kawasaki, Nat. Mater. 3, 221 (2004)

    Article  ADS  Google Scholar 

  25. J.S. Higgins, S.R. Shinde, S.B. Ogale, Venkatesan, and R.L. Greene. Phys. Rev. B 69, 073201 (2004)

    Article  ADS  Google Scholar 

  26. Y. Lyanda-Geller, S.H. Chun, M.B. Salamon, P.M. Goldbart, P.D. Han, Y. Tomioka, A. Asamitsu, Y. Tokura, Phys. Rev. B 63, 184426 (2001)

    Article  ADS  Google Scholar 

  27. M. Manyala, Y. Sidis, J.F. Ditusa, G. Aeppli, D.P. Young, Z. Fisk, Nat. Mater. 3, 255 (2004)

    Article  ADS  Google Scholar 

  28. M. Lee, Y. Onose, Y. Tokura, N.P. Ong, Phys. Rev. B 75, 172403 (2007)

    Article  ADS  Google Scholar 

  29. F. Matsukura, H. Ohno, A. Shen, Y. Sugawara, Phys. Rev. B 57, R2037 (1998)

    Article  ADS  Google Scholar 

  30. K.W. Edmonds, R.P. Campion, K.-Y. Wang, A.C. Neumann, B.L. Gallagher, C.T. Foxon, P.C. Main, J. Appl. Phys. 93, 6787 (2003)

    Article  ADS  Google Scholar 

  31. S.U. Yuldashev, H.C. Jeon, H.S. In, T.W. Kang, S.H. Lee, J.K. Furdyna, Phys. Rev. B 70, 193203 (2004)

    Article  ADS  Google Scholar 

  32. D. Chiba, Y. Nishitani, F. Matsukura, H. Ohno, Appl. Phys. Lett. 90, 122503 (2007)

    Article  ADS  Google Scholar 

  33. H. Ohno, H. Munekata, T. Penney, S. von Molnar, L.L. Chang, Phys. Rev. Lett. 68, 2664 (1992)

    Article  ADS  Google Scholar 

  34. A. Oiwa, A. Endo, S. Katsumoto, Y. Iye, H. Ohno, H. Munekata, Phys. Rev. B 59, 5826 (1999)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  36. T. Jungwirth, Q. Niu, A.H. MacDonald, Phys. Rev. Lett. 88, 207208 (2002)

    Article  ADS  Google Scholar 

  37. M. Onoda, N. Nagaosa, J. Phys. Soc. Jpn. 71, 19 (2002)

    Article  ADS  Google Scholar 

  38. M. Chang, Q. Niu, Phys. Rev. B 53, 7010 (1996)

    Article  ADS  Google Scholar 

  39. G. Sundaram, Q. Niu, Phys. Rev. B 59, 14915 (1999)

    Article  ADS  Google Scholar 

  40. J. Smit, Physica 21, 877 (1955)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  43. L. Berger, Phys. Rev. B 5, 1862 (1972)

    Article  ADS  Google Scholar 

  44. A. Crépieux, P. Bruno, Phys. Rev. B 64, 014416 (2001)

    Article  ADS  Google Scholar 

  45. A. Fert, O. Jaoul, Phys. Rev. Lett. 28, 303 (1972)

    Article  ADS  Google Scholar 

  46. A. Fert, A. Friederich, Phys. Rev. B 13, 397 (1976)

    Article  ADS  Google Scholar 

  47. S.K. Lyo, T. Holstein, Phys. Rev. Lett. 29, 423 (1972)

    Article  ADS  Google Scholar 

  48. P. Nozieres, C. Lewiner, J. Phys. (Paris) 34, 901 (1973)

    Article  Google Scholar 

  49. N.A. Synitsyn, A.H. MacDonald, T. Jungwirth, V.K. Dugaev, J. Sinova, Phys. Rev. B 75, 045315 (2007)

    Article  ADS  Google Scholar 

  50. S.A. Yang, H. Pan, Y. Tao, Q. Niu, Phys. Rev. B 83, 125122 (2011)

    Article  ADS  Google Scholar 

  51. Y. Tian, L. Ye, X. Jin, Phys. Rev. Lett. 103, 087206 (2009)

    Article  ADS  Google Scholar 

  52. K.M. Seemann, Y. Mokrousov, A. Aziz, J. Miguel, F. Kronast, W. Kuch, M.G. Blamire, A.T. Hindmarch, B.J. Hickey, I. Souza, C.H. Marrows, Phys. Rev. Lett. 104, 076402 (2010)

    Article  ADS  Google Scholar 

  53. P. Bruno, V.K. Dugaev, M. Taillefumier, Phys. Rev. Lett. 93, 096806 (2004)

    Article  ADS  Google Scholar 

  54. P. Matl, N.P. Ong, Y.F. Yan, Y.Q. Li, D. Studebaker, T. Baum, G. Doubinina, Phys. Rev. B 57, 10248 (1998)

    Article  ADS  Google Scholar 

  55. G.E. Volovik, J. Phys. C Solid State Phys. 20, L83 (1987)

    Article  ADS  Google Scholar 

  56. G. Tatara, H. Kawamura, J. Phys. Soc. Jpn. 71, 2613 (2002)

    Article  ADS  Google Scholar 

  57. Y. Taguchi, T. Sasaki, S. Awaji, Y. Iwasa, T. Tayama, T. Sakakibara, S. Iguchi, T. Ito, Y. Tokura, Phys. Rev. Lett. 90, 257202 (2003)

    Article  ADS  Google Scholar 

  58. H. Kawamura, Phys. Rev. Lett. 90, 047202 (2003)

    Article  ADS  Google Scholar 

  59. H. Kawamura, Phys. Rev. Lett. 68, 3785 (1992)

    Article  ADS  Google Scholar 

  60. H. Kawamura, Phys. Rev. Lett. 80, 5421 (1998)

    Article  ADS  Google Scholar 

  61. T. Taniguchi, K. Yamanaka, H. Sumioka, T. Yamazaki, Y. Tabata, and S. Kawarazaki, Phys. Rev. Lett. 93, 246605 (2004), (and references therein).

    Google Scholar 

  62. T. Kageyama, N. Aito, S. Iikubo, M. Sato, J. Phys. Soc. Jpn. 72, 1491 (2003)

    Article  ADS  Google Scholar 

  63. S.H. Chun, Y. Lyanda-Geller, M.B. Salamon, R. Suryanarayanan, G. Dhalenne, A. Revcolevschi, J. Appl. Phys. 90, 6307 (2001)

    Article  ADS  Google Scholar 

  64. K. Ohgushi, S. Murakami, N. Nagaosa, Phys. Rev. B 62, R6065 (2000)

    Article  ADS  Google Scholar 

  65. Z. Wang, P. Zhang, Phys. Rev. B 76, 064406 (2007)

    Article  ADS  Google Scholar 

  66. S. Onoda, N. Nagaosa, Phys. Rev. Lett. 90, 196602 (2003)

    Article  ADS  Google Scholar 

  67. Y. Taguchi, Y. Oohara, H. Yoshizawa, N. Nagaosa, Y. Tokura, Science 291, 2573 (2001)

    Article  ADS  Google Scholar 

  68. Y. Machida, S. Nakatsuji, Y. Maeno, T. Tayama, T. Sakakibara, S. Onoda, Phys. Rev. Lett. 98, 057203 (2007)

    Article  ADS  Google Scholar 

  69. Y. Akagi, Y. Motome, J. Phys. Soc. Jpn. 79, 083701 (2010)

    Article  Google Scholar 

  70. I. Martin, C.D. Batista, Phys. Rev. Lett. 101, 156402 (2008)

    Article  ADS  Google Scholar 

  71. H. Takatsu, S. Yonezawa, S. Fujimoto, Y. Maeno, Phys. Rev. Lett. 105, 137201 (2010)

    Article  ADS  Google Scholar 

  72. R. Shindou, N. Nagaosa, Phys. Rev. Lett. 87, 116801 (2001)

    Article  ADS  Google Scholar 

  73. A. Neubauer, C. Pfleiderer, B. Binz, A. Rosch, R. Ritz, P.G. Niklowitz, P. Böni, Phys. Rev. Lett. 102, 186602 (2009)

    Article  ADS  Google Scholar 

  74. M. Lee, W. Kang, Y. Onose, Y. Tokura, N.P. Ong, Phys. Rev. Lett. 102, 186601 (2009)

    Article  ADS  Google Scholar 

  75. N. Kanazawa, Y. Onose, T. Arima, D. Okuyama, K. Ohoyama, S. Wakimoto, K. Kakurai, S. Ishiwata, Y. Tokura, Phys. Rev. Lett. 106, 156603 (2011)

    Article  ADS  Google Scholar 

  76. N. Nagaosa, Y. Tokura, Phys. Scr. T146, 014020 (2012)

    Article  ADS  Google Scholar 

  77. S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubaueer, R. Georgii, P. Böni, Science 323, 915 (2009)

    Article  ADS  Google Scholar 

  78. W. Münzer, A. Neubauer, T. Adams, S. Mühlbauer, C. Franz, F. Jonietz, R. Georgii, P. Böni, B. Pedersen, M. Schmidt, A. Rosch, and C. Pfleiderer, Phys. Rev. B 81, 041203(R) (2010).

    Google Scholar 

  79. X.Z. Yu, Y. Onose, N. Kanazawa, J.H. Park, J.H. Han, Y. Matsui, N. Nagaosa, Y. Tokura, Nature 465, 901 (2010)

    Article  ADS  Google Scholar 

  80. X.Z. Yu, N. Kanazawa, Y. Onose, K. Kimoto, W.Z. Zhang, S. Ishiwata, Y. Matui, Y. Tokura, Nature Mater. 10, 106 (2010)

    Article  ADS  Google Scholar 

  81. M. Onoda, G. Tatara, N. Nagaosa, J. Phys. Soc. Jpn. 73, 2624 (2004)

    Article  ADS  MATH  Google Scholar 

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Correspondence to Yuki Shiomi .

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Shiomi, Y. (2013). Introduction. In: Anomalous and Topological Hall Effects in Itinerant Magnets. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54361-9_1

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