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The Hall effect and its analogs

 a,  b,  b, c,  a, c,  b
a Institute for High Pressure Physics, Russian Academy of Sciences, Troitsk, Moscow, Russian Federation
b National Research Centre Kurchatov Institute, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation
c Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

We draw attention to the similarity between mutually related kinetic material phenomena that are odd in magnetic field and produce an electric current or heat flow perpendicular 1) to the magnetic field, 2) to the electric field, or to the temperature gradient. These phenomena include the Hall effect, the Righi-—Leduc effect in nonmagnetic metals, the anomalous Hall effect in magnets, the odd Senftleben—Beenakker effect in molecular gases and the phonon Hall effect in dielectrics. While these phenomena have much in common in terms of geometry, their formation mechanisms — dynamic and dissipative — are different. However, in all the cases the flow perpendicular to the magnetic field arises from the spin-orbit interaction of carriers with magnetic moments.

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Fulltext is also available at DOI: 10.3367/UFNe.0185.201505b.0479
Keywords: Hall effect, anomalous Hall effect, spin Hall effect, phonon Hall effect, Righi—Leduc effect, Senftleben—Beenakker effect
PACS: 34.10.+x, 72.15.Gd, 72.15.Jf, 72.20.My, 72.20.Pa (all)
DOI: 10.3367/UFNe.0185.201505b.0479
URL: https://ufn.ru/en/articles/2015/5/b/
Citation: Barabanov A F, Kagan Yu M, Maksimov L A, Mikheyenkov A V, Khabarova T V "The Hall effect and its analogs" Phys. Usp. 58 446–454 (2015)
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Received: 1st, March 2015, 17th, March 2015

:   ,   ,   ,   ,    « » 185 479–488 (2015); DOI: 10.3367/UFNr.0185.201505b.0479

References (86) ↓ Cited by (7) Similar articles (20)

  1. Hall E H Am. J. Math. 2 287 (1879)
  2. Hall E H Am. J. Sci. 3 19 200 (1880)
  3. Hall E H Fortschr. Phys. 1 920 (1880)
  4. Hall E H Phil. Mag. 5 9 225 (1880)
  5. Hall E H Am. J. Sci. 20 161 (1880)
  6. Hall E H Phil. Mag. 5 12 157 (1881)
  7. Hall E H Nature 25 46 (1881)
  8. Hall E H Am. J. Sci. 25 215 (1883)
  9. Hall E H Phil. Mag. 5 19 419 (1885)
  10. Hall E H Science 5 249 (1885)
  11. Hall E H Am. J. Sci. 36 237 (1889)
  12. Hall E H Proc. Am. Acad. Arts Sci. 50 67 (1914)
  13. Hall E H Proc. Natl. Acad. Sci. USA 3 163 (1917)
  14. Hall E H Proc. Natl. Acad. Sci. USA 9 41 (1923)
  15. Rowland H A Am. J. Math. 2 354 (1879)
  16. Hopkinson J Phil. Mag. 5 10 430 (1880)
  17. Rowland H Phil. Mag. 5 11 254 (1881)
  18. Landau L D, Lifshits E M, Pitaevskii L P Elektrodinamika Sploshnykh Sred (M.: Fizmatlit, 2005); Landau L D, Lifshitz E M, Pitaevskii L P Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  19. Luttinger J M Phys. Rev. 112 739 (1958)
  20. Kagan Yu M, Maksimov L A Zh. Eksp. Teor. Fiz. 51 1893 (1966); Kagan Yu M, Maksimov L A Sov. Phys. JETP 24 1272 (1967)
  21. Gurevich L E, Yassievich I N Zh. Eksp. Teor. Fiz. 47 1367 (1964); Gurevich L E, Yassievich I N Sov. Phys. JETP 20 922 (1965)
  22. Kagan Yu, Maksimov L A Phys. Rev. Lett. 100 145902 (2008)
  23. Maksimov L A, Khabarova T V Dokl. Ross. Akad. Nauk 442 749 (2012); Maksimov L A, Khabarova T V Dokl. Phys. 57 51 (2012)
  24. Gurevich L E, Yassievich I N Fiz. Tverd. Tela 4 2854 (1962); Gurevich L E, Yassievich I N Sov. Phys. Solid State 4 2091 (1963)
  25. Bronshtein I N, Semendyaev K A Spravochnik Po Matematike. Dlya Inzhenerov i Uchashchikhsya Vtuzov (M.: GITTL, 1953); Bronshtein I N, Semendyayev K A A Guide Book To Mathematics For Technologists And Engineers (Oxford: Pergamon Press, 1964)
  26. Barabanov A F, Mikheenkov A V, Maksimov L A Sverkhprovodimost’. Fizika, Khimiya, Tekhnika 4 3 (1991); Barabanov A F, Maksimov L A, Mikheyenkov A V Superconductivity Phys., Chem., Technol. 4 2 (1991)
  27. Ong N P Phys. Rev. B 43 193 (1991)
  28. Barabanov A F, Maksimov L A Fiz. Met. Metalloved. 29 471 (1970)
  29. Belemuk A M, Barabanov A F, Maksimov L A Zh. Eksp. Teor. Fiz. 129 493 (2006); Belemuk A M, Barabanov A F, Maksimov L A JETP 102 431 (2006)
  30. Belemuk A M, Barabanov A F, Maksimov L A Pis’ma ZhETF 86 374 (2007); Belemuk A M, Barabanov A F, Maksimov L A JETP Lett. 86 321 (2007)
  31. Barabanov A F, Mikheyenkov A V, Belemuk A M Phys. Lett. A 365 469 (2007)
  32. Barabanov A F, Maksimov L A, Belemuk A M J. Supercond. Nov. Magn. 26 2817 (2013)
  33. Kikoin I K Phys. Z. Sowjetunion 9 1 (1936)
  34. Kikoin I K Zh. Eksp. Teor. Fiz. 10 1242 (1940)
  35. Landau L D, Lifshits E M Kvantovaya Mekhanika: Nerelyativistskaya Teoriya (M.: Fizmatlit, 2002); Landau L D, Lifshitz E M Quantum Mechanics: Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
  36. Nagaosa N et al. Rev. Mod. Phys. 82 1539 (2010)
  37. D’yakonov M I, Perel’ V I Pis’ma ZhETF 13 657 (1971); D’yakonov M I, Perel’ V I JETP Lett. 13 467 (1971)
  38. Dyakonov M I, Perel V I Phys. Lett. A 35 459 (1971)
  39. Hirsch J E Phys. Rev. Lett. 83 1834 (1999)
  40. Kato Y K et al. Science 306 1910 (2004)
  41. Wunderlich J et al. Phys. Rev. Lett. 94 047204 (2005)
  42. Zhao H et al. Phys. Rev. Lett. 96 246601 (2006)
  43. Saitoh E et al. Appl. Phys. Lett. 88 182509 (2006)
  44. Valenzuela S O, Tinkham M Nature 442 176 (2006)
  45. Kimura T et al. Phys. Rev. Lett. 98 156601 (2007)
  46. Righi A Mem. Acc. Lincei 4 433 (1887)
  47. Leduc S A J. Phys. 2e Serie 6 378 (1887)
  48. Righi A Trans. Acc. Lincei 3 7 262 (1883)
  49. Righi A Mem. Acc. Sci. Bologna 4 5 115 (1883)
  50. Righi A Trans. Acc. Lincei. 3 8 331 (1884)
  51. Righi A Mem. Acc. Lincei. 3 19 545 (1884)
  52. Leduc S A Compt. Rend. 98 673 (1884)
  53. Leduc S A Lum. É 13 510 (1884)
  54. Leduc S A Compt. Rend. 102 358 (1886)
  55. Campbell L L Galvanomagnetic And Thermomagnetic Effects; The Hall And Allied Phenomena (London: Longmans, Green and Co., 1923)
  56. Lifshits E M, Pitaevskii L P Fizicheskaya Kinetika (M.: Fizmatlit, 2002); Pitaevskii L P, Lifshitz E M Physical Kinetics (Oxford: Pergamon Press, 1981)
  57. Senftleben H Phys. Z. 31 822 (1930)
  58. Senftleben H Phys. Z. 31 961 (1930)
  59. Beenakker J et al. Phys. Lett. 2 5 (1962)
  60. Hermans L J F et al. Phys. Lett. A 25 81 (1967)
  61. Gorelik L L, Nikolaevskii V G, Sinitsyn V V Pis’ma ZhETF 4 456 (1966); Gorelik L L, Nikolaevskii V G, Sinitsyn V V JETP Lett. 4 307 (1966)
  62. Maksimov L A, Khabarova T V Fiz. Tverd. Tela 50 1763 (2008); Maksimov L A, Khabarova T V Phys. Solid State 50 1836 (2008)
  63. Strohm C, Rikken G L J A, Wyder P Phys. Rev. Lett. 95 155901 (2005)
  64. Inyushkin A V, Taldenkov A N Pis’ma ZhETF 86 436 (2007); Inyushkin A V, Taldenkov A N JETP Lett. 86 379 (2007)
  65. Inyushkin A V, Taldenkov A N Zh. Eksp. Teor. Fiz. 138 862 (2010); Inyushkin A V, Taldenkov A N JETP 111 760 (2010)
  66. Jungwirth T, Niu Q, MacDonald A H Phys. Rev. Lett. 88 207208 (2002)
  67. Fang Z et al. Science 302 92 (2003)
  68. Haldane F D M Phys. Rev. Lett. 93 206602 (2004)
  69. Sheng L, Sheng D N, Ting C S Phys. Rev. Lett. 96 155901 (2006)
  70. Maksimov L A, Khabarova T V Dokl. Ross. Akad. Nauk 423 465 (2008); Maksimov L A, Khabarova T V Dokl. Phys. 53 611 (2008)
  71. Maksimov L A, Khabarova T V Fiz. Tverd. Tela 51 665 (2009); Maksimov L A, Khabarova T V Phys. Solid State 51 702 (2009)
  72. Landau L D, Lifshits E M Teoriya Uprugosti (M.: Fizmatlit, 2003); Landau L D, Lifshitz E M Theory Of Elasticity (Oxford: Pergamon Press, 1986)
  73. Maksimov L A, Khabarova T V Usp. Fiz. Nauk 180 503 (2010); Maksimov L A, Khabarova T V Phys. Usp. 53 481 (2010)
  74. Lifshits E M, Pitaevskii L P Statisticheskaya Fizika Vol. 2 (M.: Fizmatlit, 2004); Pitaevskii L P, Lifshitz E M Statistical Physics Vol. 2 (Oxford: Pergamon Press, 1980)
  75. Hardy R J Phys. Rev. 132 168 (1963)
  76. Fujimoto S Phys. Rev. Lett. 103 047203 (2009)
  77. Katsura H, Nagaosa N, Lee PA Phys. Rev. Lett. 104 066403 (2010)
  78. Onose Y et al. Science 329 297 (2010)
  79. Taguchi Y et al. Science 291 2573 (2001)
  80. Taguchi Y et al. J. Phys. Condens. Matter 16 S599 (2004)
  81. Machida Y et al. Phys. Rev. Lett. 98 057203 (2007)
  82. Martin I, Batista C D Phys. Rev. Lett. 101 156402 (2008)
  83. Neubauer A et al. Phys. Rev. Lett. 102 186602 (2009)
  84. Akagi Y, Motome Y J. Phys. Soc. Jpn. 79 083711 (2010)
  85. Kanazawa N et al. Phys. Rev. Lett. 106 156603 (2011)
  86. Ueland B G et al. Nature Commun. 3 1067 (2012)

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