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Landau and modern physics

 a, b
a L.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow Region, Russian Federation
b Department of Physics, Texas A&M University, College Station, Texas, USA

This article describes the history of the creation and further development of Landau’s famous works on phase transitions, diamagnetism of electron gas (Landau levels), and quantum transitions at a level crossing (the Landau — Zener phenomenon), and its role in modern physics.

This article is partially based on the text of my presentation given at the scientific-memorial session devoted to the 100th anniversary of the birth of L D Landau (1908 — 1968), held on 19 — 20 June 2008 in the Central House of Scientists, RAS, Moscow. The text of this article was created as a comment to the anniversary edition of the collected papers of L D Landau in 2008, but was not included in it for reasons independent of the author.

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Fulltext is also available at DOI: 10.3367/UFNe.0179.200911j.1237
PACS: 01.65.+g, 31.50.Gh, 64.60.−i, 71.70.Di (all)
DOI: 10.3367/UFNe.0179.200911j.1237
URL: https://ufn.ru/en/articles/2009/11/j/
000285142100009
2-s2.0-77249156913
2009PhyU...52.1169P
Citation: Pokrovsky V L "Landau and modern physics" Phys. Usp. 52 1169–1176 (2009)
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Оригинал: Покровский В Л «Ландау и современная физика» УФН 179 1237–1244 (2009); DOI: 10.3367/UFNr.0179.200911j.1237

L.D. Landau is author of Physics-Uspekhi

References (106) ↓ Cited by (9) Similar articles (20)

  1. Landau L D Zh. Eksp. Teor. Fiz. 7 19 (1937); Landau L Phys. Z. Sowjetunion 11 26 (1937)
  2. Landau L D Zh. Eksp. Teor. Fiz. 7 627 (1937); Landau L Phys. Z. Sowjetunion 11 545 (1937)
  3. Peierls R E Helv. Phys. Acta 7 (Suppl. II) 81 (1936)
  4. Lifshits E M Zh. Eksp. Teor. Fiz. 11 265 (1941)
  5. Izyumov Yu A, Syromyatnikov V N Fazovye Perekhody i Simmetriya Kristallov (M.: Nauka, 1984); Izyumov Yu A, Syromyatnikov V N Phase Transitions And Crystal Symmetry (Dordrecht: Kluwer Acad. Publ., 1990)
  6. Tolédano P, Dmitriev V Reconstructive Phase Transitions: In Crystals And Quasicrystals (Singapore: World Scientific, 1996)
  7. Shubnikov A V et al. Colored Symmetry (Oxford: Pergamon Press, 1964)
  8. Kotsev J N, Koptsik V A, Rustamov K A ""Chromomorphism" of colour groups and classification of phase transitions" In Group Theoretical Methods In Physics Vol. 3 (Eds M A Markov, V.I Man’ko, A E Shabad) (Chur: Harwood Acad. Publ., 1987)
  9. Andreev A F, Marchenko V I Usp. Fiz. Nauk 130 39 (1980); Andreev A F, Marchenko V I Sov. Phys. Usp. 23 21 (1980)
  10. Dzyaloshinsky I J. Phys. Chem. Solids 4 241 (1958)
  11. Borovik-Romanov A S Zh. Eksp. Teor. Fiz. 36 766 (1959); Borovik-Romanov A S Sov. Phys. JETP 9 539 (1959)
  12. Moriya T Phys. Rev. 120 91 (1960)
  13. Devonshire A F Philos. Mag. 40 1040 (1949); Devonshire A F Philos. Mag. 42 1065 (1951)
  14. Smith R C Smart Material Systems: Model Development (Frontiers In Applied Mathematics, Vol.32) (Philadelphia: Society for Industrial and Applied Mathematics, 2005)
  15. Ginzburg V L, Landau L D Zh. Eksp. Teor. Fiz. 20 1064 (1950); Ginzburg V L, Landau L D In Landau L D. Collected Papers (Oxford: Pergamon Press, 1965) p. 546
  16. Ginzburg V L, Pitaevskii L P Zh. Eksp. Teor. Fiz. 34 1240 (1958); Ginzburg V L, Pitaevskii L P Sov. Phys. JETP 7 858 (1958)
  17. Gross E P Nuovo Cimento X 20 454 (1961); Gross E P J. Math. Phys. 4 195 (1963)
  18. Pitaevskii L P Zh. Eksp. Teor. Fiz. 40 646 (1961); Pitaevskii L P Sov. Phys. JETP 13 451 (1961)
  19. de Gennes P G The Physics Of Liquid Crystals (Oxford: Clarendon Press, 1974)
  20. Kléman M, Lavrentovich O D Soft Matter Physics: An Introduction (New York: Springer, 2003)
  21. Brazovskii S A Zh. Eksp. Teor. Fiz. 68 175 (1975); Brazovskii S A Sov. Phys. JETP 41 85 (1975)
  22. Onsager L Phys. Rev. 65 117 (1944)
  23. Buckingham M J, Fairbank W M In Progress Of Low Temperature Physics Vol. 3 (Ed. C J Gorter) (Amsterdam: North-Holland, 1961) p. 80
  24. Bagatskii M I, Voronel’ A V, Gusak V G Zh. Eksp. Teor. Fiz. 43 728 (1962); Bagatskii M I, Voronel’ A V, Gusak V G Sov. Phys. JETP 16 517 (1963)
  25. Levanyuk A P Zh. Eksp. Teor. Fiz. 36 810 (1959); Levanyuk A P Sov. Phys. JETP 9 571 (1959)
  26. Ginzburg V L Fiz. Tverd. Tela 2 2031 (1960); Ginzburg V L Sov. Phys. Solid State 2 1824 (1961)
  27. Patashinskii A Z, Pokrovskii V L Fluktuatsionnaya Teoriya Fazovykh Perekhodov 2-e izd. (M.: Nauka, 1982); Patashinskii A Z, Pokrovskii V L Fluctuation Theory Of Phase Transitions (Oxford: Pergamon Press, 1979)
  28. Vaks V G, Larkin A I Zh. Eksp. Teor. Fiz. 49 975 (1965); Vaks V G, Larkin A I Sov. Phys. JETP 22 678 (1966)
  29. Kadanoff L P, Wegner F J Phys. Rev. B 4 3989 (1971)
  30. Patashinskii A Z, Pokrovskii V L Zh. Eksp. Teor. Fiz. 46 994 (1964); Patashinskii A Z, Pokrovskii V L Sov. Phys. JETP 19 677 (1964)
  31. Patashinskii A Z, Pokrovskii V L Zh. Eksp. Teor. Fiz. 50 439 (1966); Patashinskii A Z, Pokrovskii V L Sov. Phys. JETP 23 292 (1966)
  32. Kadanoff L P Physics 2 263 (1966)
  33. Widom B J. Chem. Phys. 43 3892 (1965)
  34. Domb C, Hunter D L Proc. Phys. Soc. London 86 1147 (1965)
  35. Fisher M E Physica 25 521 (1959)
  36. Domb C The Critical Point (London: Taylor & Francis, 1996)
  37. Wilson K G Phys. Rev. B 4 3174 (1971)
  38. Wilson K G, Fisher M E Phys. Rev. Lett. 28 240 (1972)
  39. Wilson K G Phys. Rev. Lett. 28 548 (1972)
  40. Gell-Mann M, Low F E Phys. Rev. 95 1300 (1954)
  41. Stückelberg E C G, Green T A Helv. Phys. Acta 24 153 (1951)
  42. Di Castro C, Jona-Lasinio G Phys. Lett. A 29 322 (1969)
  43. Larkin A I, Khmel’nitskii D E Zh. Eksp. Teor. Fiz. 56 2087 (1969); Larkin A I, Khmel’nitskii D E Sov. Phys. JETP 29 1123 (1969)
  44. Le Guillou J C, Zinn-Justin J Phys. Rev. B 21 3976 (1980)
  45. Lipatov L N Zh. Eksp. Teor. Fiz. 72 411 (1977); Lipatov L N Sov. Phys. JETP 45 216 (1977)
  46. Landau L D, Khalatnikov I M Dokl. Akad. Nauk SSSR 96 469 (1954)
  47. Suzuki M, Komatsubara T J. Phys. C 15 4559 (1982); Fossheim K Phys. Scripta 25 665 (1982)
  48. Pokrovskii V L, Khalatnikov I M Pis’ma ZhETF 9 255 (1969); Pokrovskii V L, Khalatnikov I M JETP Lett. 9 149 (1969)
  49. Ferrell R A, Menyhárd N, Schmidt H, Schwabl F, Szépfalusy P Phys. Rev. Lett. 18 891 (1967)
  50. Halperin B I, Hohenberg P C Phys. Rev. Lett. 19 700 (1967)
  51. Halperin B I, Hohenberg P C Phys. Rev. 177 952 (1969)
  52. Hohenberg P C, Halperin B I Rev. Mod. Phys. 49 435 (1977)
  53. Landau L D "Diamagnetismus der Metalle" Z. Phys. 64 629 (1930)
  54. Rabi I I "Das freie Electron im homogenen Magnetfeld nach der Diracschen Theorie" Z. Phys. 49 507 (1928)
  55. Fock V A "Bemerkung zur Quantelung des harmonischen Oszillators im Magnetfeld" Z. Phys. 47 446 (1928)
  56. Frenkel’ Ya I, Bronshtein M P "Kvantovanie svobodnykh elektronov v magnitnom pole" Zhurn. Russ. Fiz.-khim. Obshchestva 62 485 (1930)
  57. Bohr N Dissertation (Copenhagen, 1911)
  58. Van Leeuwen H J Dissertation (Leiden, 1919); Van Leeuwen H J J. Phys. Paris 2 361 (1921)
  59. Shubnikov L V, de Haas W J Leiden Commun. 207a (1930); Shubnikov L V, de Haas W J Proc. Netherlands R. Acad. Sci. 33 130 (1930); Shubnikov L V, de Haas W J Proc. Netherlands R. Acad. Sci. 33 163 (1930)
  60. De Haas W J, van Alphen P M "Note on the dependence of the susceptibility of diamagnetic metal on the field" Leiden Commun. 208d (1930)
  61. Shoenberg D Magnetic Oscillations In Metals (Cambridge: Cambridge Univ. Press, 1984); Shenberg D Magnitnye Ostsillyatsii v Metallakh (Pod red. M I Kaganova) (M.: Mir, 1986)
  62. Kaganov M I "Neprostaya istoriya" v Sb. Issledovaniya Po Istorii Fiziki i Mekhaniki 2006 (Otv. red. G M Idlis) (M.: Nauka, 2007) p. 148
  63. Landau L D "On the de Haas - van Alphen effect" Proc. R. Soc. London A 170 363 (1939); appendix to paper, Shoenberg D Proc. R. Soc. London A 170 341 (1939)
  64. Lifshits I M Doklad na sessii Akademii nauk Ukrainskoi SSR, 1951; Kaganov M I, Lifshits I M "Elektronnaya teoriya metallov i geometriya" Usp. Fiz. Nauk 129 487 (1979); Kaganov M I, Lifshits I M "Electron theory of metals and geometry" Sov. Phys. Usp. 22 904 (1979)
  65. Onsager L Philos. Mag. 43 1006 (1952)
  66. Lifshits I M, Kosevich A M Zh. Eksp. Teor. Fiz. 29 730 (1955); Lifshits I M, Kosevich A M Sov. Phys. JETP 2 636 (1956)
  67. Lifshits I M, Pogorelov A V Dokl. Akad. Nauk SSSR 96 1143 (1954)
  68. Gaidukov Yu P "Prilozhenie" v Kn. Lifshits I M, Azbel’ M Ya, Kaganov M I. Elektronnaya Teoriya Metallov (M.: Nauka, 1971)
  69. v. Klitzing K, Dorda G, Pepper M Phys. Rev. Lett. 45 494 (1980)
  70. Tsui D C, Stormer H L, Gossard A C Phys. Rev. Lett. 48 1559 (1982)
  71. Laughlin R B "Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations" Phys. Rev. Lett. 50 1395 (1983)
  72. Novoselov K S et al. "Electric field effect in atomically thin carbon films" Science 306 666 (2004); Geim A K, Novoselov K S "The rise of graphene" Nature Mater. 6 183 (2007); Morozov S V, Novoselov K S, Geim A K Usp. Fiz. Nauk 178 776 (2008); Morozov S V, Novoselov K S, Geim A K Phys. Usp. 51 744 (2008)
  73. Novoselov K S et al. "Two-dimensional gas of massless Dirac fermions in graphene" Nature 438 197 (2005)
  74. Landau L Phys. Z. Sowjetunion 2 46 (1932)
  75. Zener C Proc. R. Soc. London A 137 696 (1932)
  76. Stückelberg E C G Helv. Phys. Acta 5 369 (1932)
  77. Majorana E Nuovo Cimento 9 43 (1932)
  78. Nakamura H "Nonadiabatic transitions and chemical dynamics" In Current Developments In Atomic, Molecular, And Chemical Physics With Applications (Ed. M Mohan) (New York: Kluwer Acad./Plenum Publ., 2002) p. 71; Kuznetsov A M Charge Transfer In Physics, Chemistry, And Biology (Luxembourg: Gordon and Breach, 1995); May V, Kühn O Charge And Energy Transfer Dynamics In Molecular Systems 2nd ed. (Weinheim: Wiley-VCH, 2004)
  79. Warshel A "Role of the chlorophyll dimer in bacterial photosynthesis" Proc. Natl. Acad. Sci. USA 77 3105 (1980)
  80. Smirnov B M Atomnye Stolknoveniya i Elementarnye Protsessy v Plazme (M.: Atomizdat, 1968); Smirnov B M Physics Of Atoms And Ions (New York: Springer, 2003)
  81. Solov’ev E A Usp. Fiz. Nauk 157 437 (1989); Solov’ev E A Sov. Phys. Usp. 32 228 (1989)
  82. Grinchuk V A et al. J. Opt. Soc. Am. B 2 1805 (1985); Kazantsev A P, Surdutovich G I, Yakovlev V P Mechanical Action Of Light On Atoms (Singapore: World Scientific, 1990)
  83. Metcalf H J, van der Straten P Laser Cooling And Trapping (New York: Springer, 1999)
  84. Corwin K L "A circularly-polarized optical dipole trap and other developments in laser trapping of atoms" Ph.D. Thesis (Boulder, CO: Univ. of Colorado, 1999)
  85. Breuer H P, Dietz K, Holthaus M "Highly excited hydrogen atoms in strong microwave fields" Z. Phys. D 18 239 (1991)
  86. Pashkin Yu A et al. Nature 421 823 (2003)
  87. Shaji N et al. "Few Electron Quantum Dots in Si/SiGe" APS March Meeting, March 5 - 9, 2007, Abstract S33.007 (2007)
  88. Gatteschi D, Sessoli R, Villain J Molecular Nanomagnets (Oxford: Oxford Univ. Press, 2006)
  89. Jochim S et al. Science 302 2101 (2003); Zwierlein M W et al. Phys. Rev. Lett. 91 250401 (2003); Bourdel T et al. Phys. Rev. Lett. 93 050401 (2004); Donley E A et al. Nature 417 529 (2002); Strecker K E et al. Nature 417 150 (2002)
  90. Mies F H, Tiesinga E, Julienne P S Phys. Rev. A 61 022721 (2000); Pazy E, Vardi A, Band Y B Phys. Rev. Lett. 93 120409 (2004); Chwedeńczuk J et al. Phys. Rev. Lett. 93 260403 (2004)
  91. Dykhne A M Zh. Eksp. Teor. Fiz. 41 1324 (1961); Dykhne A M Sov. Phys. JETP 14 941 (1962)
  92. Demkov Yu N, Osherov V I Zh. Eksp. Teor. Fiz. 53 1589 (1967); Demkov Yu N, Osherov V I Sov. Phys. JETP 26 916 (1968)
  93. Demkov Yu N, Ostrovsky V N J. Phys. B 28 403 (1995); Demkov Yu N, Ostrovsky V N J. Phys. B 34 2419 (2001)
  94. Carroll C E, Hioe F T J. Phys. A 19 1151 (1986); Hioe F T J. Opt. Soc. Am. B 4 1327 (1987)
  95. Sinitsyn N A Phys. Rev. B 66 205303 (2002)
  96. Brundobler S, Elser V J. Phys. A 26 1211 (1993)
  97. Shytov A V Phys. Rev. A 70 052708 (2004)
  98. Volkov M V, Ostrovsky V N J. Phys. B 38 907 (2005)
  99. Dobrescu B E, Sinitsyn N A J. Phys. B 39 1253 (2006)
  100. Ao P, Rammer J Phys. Rev. B 43 5397 (1991)
  101. Kayanuma Y J. Phys. Soc. Jpn. 54 2037 (1985)
  102. Pokrovsky V L, Sinitsyn N A Phys. Rev. B 67 144303 (2003)
  103. Pokrovsky V L, Sun D Phys. Rev. B 76 024310 (2007)
  104. Dobrescu B E, Pokrovsky V L Phys. Lett. A 350 154 (2006)
  105. Sun D, Abanov Ar, Pokrovsky V L Europhys. Lett. 83 16003 (2008)
  106. Gurarie V Phys. Rev. A 80 023626 (2009)
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