RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1995

 / 

January

←  →

Reviews of topical problems


Magnetic breakdown with spin flip

 a,  b
a Kazan State University, ul. Lenina 18, Kazan, 420008, Russian Federation
b Physicotechnical Department, Branch of the M.V. Lomonosov Moscow State University, ul. Lva Tolstogo 42, Ulyanovsk, 427000, Russian Federation

A review is given of the theory of magnetic breakdown with consistent account for the spin degrees of freedom of conduction electrons. An analysis is made of the spectrum of conduction electrons in regions with anomalous approach of the orbits belonging to the different bands. The principal dynamic characteristic of magnetic breakdown in the form of a forth-rank s matrix is derived. It is shown that the spin-orbit coupling leads to a probability of spin flip magnetic breakdown. The main assumptions of the theory of coherent magnetic breakdown are summarised and analysed in the case of simple examples. The spectrum of conduction electrons under magnetic breakdown conditions is discussed. Applications of the theory to the galvanomagnetic effects, to the de Haas-van Alphen effect, and to the conduction-electron spin resonance are considered.

Fulltext pdf (1.5 MB)
Fulltext is also available at DOI: 10.1070/PU1995v038n01ABEH000064
PACS: 76.30.Pk, 72.15.Gd, 71.25.Hc (all)
DOI: 10.1070/PU1995v038n01ABEH000064
URL: https://ufn.ru/en/articles/1995/1/b/
A1995QH50400002
Citation: Proshin Yu N, Useinov N Kh "Magnetic breakdown with spin flip" Phys. Usp. 38 39–86 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Прошин Ю Н, Усеинов Н Х «Магнитный пробой с переворотом спина» УФН 165 41–87 (1995); DOI: 10.3367/UFNr.0165.199501b.0041

References (129) ↓ Cited by (4) Similar articles (20)

  1. Cohen M H, Falicov L M Phys. Rev. Lett. 7 231 (1961)
  2. Priestley M G Proc. R. Soc. London A Vol. 276 (1963) p. 256; Priestley M G, Falicov L M, Weisz G Phys. Rev. 131 617 (1963)
  3. Dhillon J S, Shoenberg D Philos. Trans. R. Soc. London A 248 1 (1955)
  4. Pippard A B Philos. Trans. R. Soc. London A 256 317 (1964)
  5. Stark R W, Falicov L M Prog. Low Temp. Phys. 5 235 (1967)
  6. Kaganov M I, Slutskin A A Elektrony Provodimosti (M.: Nauka, 1985) p. 101; Kaganov M I, Slutskin A A Phys. Rep. 98 187 (1983)
  7. Alekseevskii N E, Nizhankovskii V I Elektrony Provodimosti (M.: Nauka, 1985) p. 197
  8. Shenberg D Magnitnye Ostsillyatsii v Metallakh (M.: Mir, 1986); Shoenberg D Magnetic Oscillations In Metals (Cambridge: Cambridge University Press, 1984)
  9. Proshin Yu N Zh. Eksp. Teor. Fiz. 93 1356 (1987); Proshin Yu N Sov. Phys. JETP 66 770 (1987)
  10. Jafet J Solid State Phys. 14 1 (1963)
  11. Lifshits I M, Azbel’ M Ya, Kaganov M I Elektronnaya Teoriya Metallov (M.: Nauka, 1973)
  12. Kaganov M I, Lifshits I M Usp. Fiz. Nauk 129 487 (1979); Kaganov M I, Lifshitz I M Sov. Phys. Usp. 22 904 (1979)
  13. Abrikosov A A Osnovy Teorii Metallov (M.: Nauka, 1987); Abrikosov A A Fundamentals Of The Theory Of Metals (Amsterdam: North-Holland, 1988)
  14. Blount E I Phys. Rev. 126 1636 (1962)
  15. Tselfes W, Flouda E, Boukos N et al. Physica B 172 405 (1991)
  16. Stesmans A, Witters J Phys. Rev. B 23 3159 (1981)
  17. Kochelaev B I, Proshin Yu N Fiz. Tverd. Tela 27 265 (1985); Kochelaev B I, Proshin Yu N Sov. Phys. Solid State 27 161 (1985)
  18. Slutskin A A Zh. Eksp. Teor. Fiz. 58 1098 (1970); Slutskin A A Sov. Phys. JETP 31 589 (1970); Slutskin A A Pis’ma ZhETF 18 587 (1973); Slutskin A A JETP Lett. 18 346 (1973)
  19. Slutskin A A Zh. Eksp. Teor. Fiz. 65 2114 (1973); Slutskin Sov. Phys. JETP 38 1057 (1974)
  20. Slutskin A A, Kadigrobov A M FNT 4 536 (1978); Slutskin A A, Kadigrobov A M Sov. J. Low. Temp. Phys. 4 262 (1978)
  21. Stark R W, Friedberg C B J Low Temp Phys. 26 763 (1977)
  22. Gorelik L Yu, Kovtun E A FNT 19 395 (1993)
  23. Walker I R J Low Temp. Phys. 90 205 (1993)
  24. Lonzarich G G Electrons At Fermi Surfaces (Ed. M Springford) (Cambridge: Cambridge University Press, 1980), Chap. 6
  25. Kumin P R, Dyakina V P, Startsev V E, Cherepanov A N Fiz. Met. Metalloved. 12 39 (1990)
  26. McMullan G J, Pilgram D D, Marshall A A Phys. Rev. B 46 3789 (1992)
  27. Liu C T, Tsui D C, Shayegan M, Ismail K, Antoniadis D A, Smith H I Appl. Phys. Lett. 58 2945 (1991)
  28. Beton P H, Dellow M W, Main P C, et al. Phys. Rev. B 43 9980 (1991)
  29. Hu J, MacDonald A H Phys. Rev. B 46 12554 (1992)
  30. Behler S, Winzer K Z. Phys. B 82 355 (1991)
  31. Audouard A, Richard J, Dubois S, et al. Synth. Met. 56 2629 (1993); Henriques A B, Morgoon V N, de Souza P L, et al. Phys. Rev. B 49 11248 (1994)
  32. Williams J M, Schultz A J, Geiser U, et al. Science 252 1501 (1991)
  33. Sasaki T, Sato H, Toyota N Solid State Commun. 76 507 (1990)
  34. Sasaki T, Sato H, Toyota N Physica C 185 - 189 2687 (1991)
  35. Wosnitza J, Crabtree G W, Wang H H et al. Physical Phenomena At High Magnetic Fields (Reading, MA: Addison-Wesley, 1991) p. 1-11
  36. Kartsovnik M V, Kovalev A E, Kushch N D J. Physique I 3 1187 (1993)
  37. Sasaki T, Toyota N Synth Met. 56 2303 (1993)
  38. Uji S, Aoki H, Tokumoto M, et al. Phys. Rev. B 49 732 (1994)
  39. Caulfield J, et al. Synth. Met. 61 63 (1993)
  40. Uji S, Aoki H, Brooks J S, et al. Solid State Commun. 88 683 (1993)
  41. Kanoda K, Kato K, Kawamoto A, et al. Synth. Met. 56 2309 (1993)
  42. Kartsovnik M V, Laukhin V N, Pesotskii S I Usp. Fiz. Nauk 162 ((10)) 183 (1992); Kartsovnik M V, Laukhin V N, Pesotskii S I Sov. Phys. Usp. 35 (1992)
  43. Tamura M, Kuroda H, Uji S et al. J. Phys. Soc. Jpn. 63 615 (1994)
  44. Alekseevskii N E, Bazan C, Glinski M et al. J. Phys. E 12 648 (1979)
  45. Slutskin A A Zh. Eksp. Teor. Fiz. 53 767 (1967); Slutskin A A Sov. Phys. JETP 26 474 (1968)
  46. Pippard A B Proc. R. Soc. London A Vol. 270 (1962) p. 1
  47. Slutskin A A, Gorelik L Yu Solid State Commun. 46 601 (1983)
  48. Sandesara N B, Stark R W Phys. Rev. Lett. 53 1681 (1984)
  49. Slutskin A A Avtoref. dis. ... d-ra fiz.- mat. nauk (Khar’kov: FTINT, 1980)
  50. Pippard A Fizika Metallov. Ch. 1. Elektrony (M.: Mir, 1972) p. 129; Pippard A B Physics Of Metals Vol. 1 Electrons (Ed. J M Ziman) (Cambridge: Cambridge University Press, 1969)
  51. Chambers R G Proc. Phys. Soc. London Vol. 88 (1966) p. 701
  52. Chambers R G Proc. Phys. Soc. London Vol. 89 (1966) p. 695
  53. Chambers W G Phys. Rev. 140 A135 (1965)
  54. Falicov L M, Sievert P R Phys. Rev. 138 A88 (1965)
  55. Falicov L M, Pippard A B, Sievert P R Phys. Rev. 151 498 (1966)
  56. Falicov L M, Stachowiak H Phys. Rev. 147 505 (1966)
  57. Sowa E C, Falicov L M Phys. Rev. B 32 755 (1985)
  58. Freericks J K, Falicov L M Phys. Rev. B 39 5678 (1989)
  59. Bir G L, Pikus G E Simmetriya i Deformatsionnye Defekty v Poluprovodnikakh (M.: Nauka, 1975); Bir G L, Pikus G E Symmetry And Strain-Induced Effects In Semiconductors (New York: Wiley, 1975)
  60. Kaganov M I, Proshin Yu N Fiz. Tverd. Tela 28 1226 (1986); Kaganov M I, Proshin Yu N Sov. Phys. Solid State 28 689 (1986)
  61. Slutskin A A, Kadigrobov A M Pis’ma ZhETF 32 363 (1980); Slutskin A A, Kadigrobov A M JETP Lett. 32 338 (1980)
  62. Slutskin A A, Manzhelii E V FNT 19 86 (1993)
  63. Slutskin A A, Manzhelii E V FNT 19 824 (1993)
  64. Proshin Yu N, Useinov N Kh Phys. Status Solidi B 166 173 (1991)
  65. Proshin Yu N, Useinov N Kh Physica B 173 386 (1991)
  66. Proshin Yu N, Useinov N Kh Zh. Eksp. Teor. Fiz. 100 1088 (1991); Proshin Yu N, Useinov N Kh Sov. Phys. JETP 73 602 (1991)
  67. Proshin Yu N, Useinov N Kh Zh. Eksp. Teor. Fiz. 105 139 (1994); Proshin Yu N, Useinov N Kh Sov. Phys. JETP 78 73 (1994)
  68. Proshin Yu N Avtoref. diss. ... kand. fiz.- mat. nauk ((Kazan’: KGU, 1987)
  69. Proshin Yu N, Noskova T L XXIX soveshch. po fizike nizkikh temperatur. Tez.dokl. Ch. 2 (Kazan’, 1992) p. 353
  70. Proshin Yu N Program of Sixth Joint Magnetism and Magnetic Materials Intern. Conf., Albuquerque, NM, June, 1994 (1994) p. 131
  71. Proshin Yu N Magnetic Resonance And Related Phenomena Extended Abstracts Of Twenty-Eighth Ampere Congress, Kazan, Russia, August 1994 Vol. 1 (1994) p. 256
  72. Landau L D Zh. Eksp. Teor. Fiz. 30 1058 (1956); Landau L D Sov. Phys. JETP 3 920 (1956)
  73. Gorbovitskii B M, Perel’ V I Zh. Eksp. Teor. Fiz. 85 1812 (1983); Gorbovitskii B M, Perel’ V I Sov. Phys. JETP 58 1054 (1983)
  74. Lifshits E M, Pitaevskii L P Statisticheskaya Fizika. Ch. 2. Teoriya Kondensirovannogo Sostoyaniya (M.: Nauka, 1978); Lifshitz E M, Pitaevskii L P Statistical Physics Vol. 2 3rd edition (Oxford: Pergamon Press, 1980)
  75. Walker M B Phys. Rev. Lett. 33 406 (1974)
  76. Walker M B Can J. Phys. 53 165 (1975)
  77. Silsbee R H, Long J P Phys. Rev. B 27 5374 (1983)
  78. Zil’berman G E Zh. Eksp. Teor. Fiz. 30 1092 (1956); Zil’berman G E Sov. Phys. JETP 3 835 (1956); Zil’berman G E Zh. Eksp. Teor. Fiz. 32 296 (1957); Zil’berman G E Sov. Phys. JETP 5 208 (1957); Zil’berman G E Zh. Eksp. Teor. Fiz. 33 387 (1957); Zil’berman G E Sov. Phys. JETP 6 299 (1958)
  79. Freedman R, Fredkin D R Phys. Rev. B 11 4847 (1975)
  80. Nedorezov S S Avtoref. diss. ... d-ra. fiz.- mat. nauk ((Khar’kov: FTINT, 1985)
  81. Beuneu F J Phys. F 10 2875 (1980)
  82. Silsbee R H, Beuneu F Phys. Rev. B 27 2682 (1983)
  83. Roth L M Phys. Rev. 145 434 (1966)
  84. Landau L D, Lifshits E M Kvantovaya Mekhanika (M.: Nauka, 1974); Landau L D, Lifshitz E M Quantum Mechanics: Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
  85. Harrison W A Phys. Rev. 126 497 (1962)
  86. Reitz J R J Phys. Chem. Solids 25 53 (1964)
  87. Kaganov M I, Slutskin A A Magnitnyi Proboi (M.: Znanie, 1985)
  88. Gantmakher V F, Levinson I B Rasseyanie Nositelei Toka v Metallakh i Poluprovodnikakh (M.: Nauka, 1984); Gantmakher V F, Levinson Y B Carrier Scattering In Metals And Semiconductors (Amsterdam: North-Holland, 1987)
  89. de Graaf A M, Overhauser A W Phys. Rev. 180 701 (1969)
  90. Kreknell A, Uong K Poverkhnost’ Fermi (M.: Atomizdat, 1978); Cracknell A P, Wong K C Fermi Surface: Its Concept, Determination And Use In Physics Of Met Als (Oxford: Clarendon Press, 1973)
  91. Van Dyke J P, McClure J W, Doar J F Phys. Rev. B 1 2511 (1970)
  92. Kharrison U Teoriya Tverdogo Tela (M.: Mir, 1972); Harrison W A Solid State Theory (New York: McGraw-Hill, 1970); Kheine V, Koen M, Ueir D Teoriya Psevdopotentsiala (M.: Mir, 1973); Heine V Solid State Phys. 24 1 (1970); Cohen M L, Heine V Solid State Phys. 24 37 (1970); Heine V, Weaire D Solid State Phys. 24 249 (1970)
  93. Slutskin A A, Kadigrobov A M Fiz. Tverd. Tela 9 184 (1967); Slutskin A A, Kadigrobov A M Sov. Phys. Solid State 9 138 (1967)
  94. Belokolos E D Fiz. Tverd. Tela 19 767 (1977); Belokolos E D Sov. Phys. Solid State 19 444 (1977)
  95. Slutskin A A Pis’ma ZhETF 4 96 (1966); Slutskin A A JETP Lett. 4 65 (1966)
  96. Abramovits M, Stigan I M (Red.) Spravochnik Po Spetsial’nym Funktsiyam (M.: Nauka, 1979); Abramowitz M, Stegun I A (Eds) Handbook Of Mathematical Functions With Formulas, Graphs, And Mathematical Tables (New York: Wiley, 1972)
  97. Gurzhi R N, Kopeliovich A I Elektrony Provodimosti (M.: Nauka, 1985) p. 7
  98. Dyson F J Phys. Rev. 98 349 (1955)
  99. Azbel’ M Ya, Gerasimenko V I, Lifshits I M Zh. Eksp. Teor. Fiz. 31 357 (1956); Azbel’ M Ya, Gerasimenko V I, Lifshitz I M Sov. Phys. JETP 4 276 (1957)
  100. Cohen M H, Blount E I Philos. Mag. 5 115 (1960)
  101. Stark R W Phys. Rev. 135 A1698 (1964)
  102. Useinov N Kh Avtoref. diss. ... kand. fiz.- mat. nauk (Kazan’: KGU,, 1992)
  103. Lonzarich G G, Holtham P M Proc. R. Soc. London A 400 145 (1984)
  104. Pippard A B Proc. R. Soc. London A 287 165 (1965)
  105. O’Sullivan W J, Schirber J E Phys. Rev. 162 519 (1967)
  106. Buot F A, Li P L, Strom-Olsen J O J Low. Temp. Phys. 22 535 (1976)
  107. Lifshits I M, Kosevich A M Zh. Eksp. Teor. Fiz. 29 730 (1955); Lifshitz I M, Kosevich A M Sov. Phys. JETP 2 636 (1956)
  108. Kochkin A P Zh. Eksp. Teor. Fiz. 54 603 (1968); Kochkin A P Sov. Phys. JETP 27 324 (1968)
  109. Joseph A S, Gordon W L Phys. Rev. 126 489 (1962)
  110. Thorsen A C, Joseph A S, Valby L E Proc. of Ninth Intern. Conf. on Low Temperature Physics, Columbus, OH, 1964 (New York: Plenum Press, 1965) p. 867
  111. Vinter Zh Magnitnyi Rezonans v Metallakh (M.: Mir, 1976); Winter J Magnetic Resonance In Metals (Oxford: Clarendon Press, 1971)
  112. Plattsman F, Vol’f P Volny i Vzaimodeistviya v Plazme Tverdogo Tela (M.: Nauka, 1975); Platzman P M, Wolff P A Waves And Interactions In Solid State Plasma (Solid State Phys., Suppl. 13) (New York: Academic Press, 1973)
  113. Azbel’ M Ya, Gerasimenko V I, Lifshits I M Zh. Eksp. Teor. Fiz. 32 1212 (1957); Azbel’ M Ya, Gerasimenko V I, Lifshitz I M Sov. Phys. JETP 5 986 (1957)
  114. Azbel’ M Ya, Gerasimenko V I, Lifshits I M Zh. Eksp. Teor. Fiz. 35 691 (1958)
  115. Lifshitz I M, Azbel M Ya, Gerasimenko V I J. Phys. Chem. Solids 1 164 (1956)
  116. Kaplan J I, Glasser M L Phys. Rev. 183 408 (1969)
  117. Czerwonko J Phys. Status Solidi B 67 K15 (1975)
  118. Montgomery D S J Phys. F 11 711 (1981)
  119. Bloembergen N, Purcell E M, Pound R V Phys. Rev. 73 679 (1948)
  120. Dupree R, Holland B W Phys. Status Solidi 24 275 (1967)
  121. Moore R A J. Phys. F 5 2300 (1975)
  122. Silsbee R H, Beuneu F Phys. Rev. B 27 2682 (1983)
  123. Lubzens D, Shanabarger M R, Schultz S Phys. Rev. Lett. 29 1387 (1972)
  124. Notley R P, Sambles J R, Cousins J E Solid State Commun. 25 1125 (1978)
  125. Stanley D J, Walker M B Solid State Commun. 21 449 (1977)
  126. Rahman T S, Parlebas J C, Mills D L J. Phys. F 8 2511 (1978)
  127. Couch N R, Sambles J R, Stesmans A, Cousins J E J. Phys. F 12 2439 (1982)
  128. Zubarev D N Neravnovesnaya Statisticheskaya Termodinamika (M.: Nauka, 1971); Zubarev D N Nonequilibrium Statistical Thermodynamics (New York: Consultants Bureau, 1974)
  129. Oseroff S, Gehman B L, Schultz S Phys. Rev. B 15 1291 (1977)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions