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1998

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Reviews of topical problems


Topological phenomena in normal metals

 a,  b
a V.A. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russian Federation
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

Galvanomagnetic phenomena in metals in strong magnetic fields, associated with the Fermi surface geometry are considered. Using three-dimensional topology theorems, a full classification of all possibilities is made. For non-closed general-position electron orbits, special topological characteristics are introduced for the conductivity tensor at B \rightarrow 0.

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Fulltext is also available at DOI: 10.1070/PU1998v041n03ABEH000373
PACS: 02.40.Vh, 72.15.Gd (all)
DOI: 10.1070/PU1998v041n03ABEH000373
URL: https://ufn.ru/en/articles/1998/3/a/
000073306100001
Citation: Novikov S P, Mal’tsev A Ya "Topological phenomena in normal metals" Phys. Usp. 41 231–239 (1998)
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Оригинал: Новиков С П, Мальцев А Я «Топологические явления в нормальных металлах» УФН 168 249–258 (1998); DOI: 10.3367/UFNr.0168.199803a.0249

References (28) ↓ Cited by (40) Similar articles (20)

  1. Lifshitz I M, Azbel’ M Ya, Kaganov M I Zh. Eksp. Teor. Fiz. 31 63 (1956) [Sov. Phys. JETP 4 41 (1957)]
  2. Lifshitz I M, Peschanskiî V G Zh. Eksp. Teor. Fiz. 35 1251 (1958) [Sov. Phys. JETP 8 875 (1959)]
  3. Lifshitz I M, Peschanskiî V G Zh. Eksp. Teor. Fiz. 38 188 (1960) [Sov. Phys. JETP 11 137 (1960)]
  4. Alekseevskiî N E, Gaidukov Yu P Zh. Eksp. Teor. Fiz. 35 554 (1958) [Sov. Phys. JETP 8 383 (1959)]
  5. Alekseevskiî N E, Gaidukov Yu P Zh. Eksp. Teor. Fiz. 36 447 (1959) [Sov. Phys. JETP 9 311 (1959)]
  6. Alekseevskiî N E, Gaidukov Yu P Zh. Eksp. Teor. Fiz. 37 672 (1959) [Sov. Phys. JETP 10 481 (1960)]
  7. Gaidukov Yu P Zh. Eksp. Teor. Fiz. 37 1281 (1959) [Sov. Phys. JETP 10 913 (1960)]
  8. Lifshitz I M, Kaganov M I Usp. Fiz. Nauk 69 419 (1959) [Sov. Phys. Usp. 2 831 (1960)]
  9. Lifshitz I M, Kaganov M I Usp. Fiz. Nauk 78 411 (1962) [Sov. Phys. Usp. 5 411 (1962)]
  10. Lifshitz I M, Azbel’ M Ya, Kaganov M I Elektronnaya Teoriya Metallov (Electron Theory of Metals, Moscow: Nauka, 1971) [Translated into English (New York: Consultants Bureau, 1973)]
  11. Abrikosov A AOsnovy Teorii Metallov (Fundamentals of the Theory of Metals, Moscow: Nauka, 1987) [Translated into English (Amsterdam: North-Holland, 1998)]
  12. Novikov S P Usp. Matem. Nauk 37 3 (1982) [Russian Math. Surveys 37 (1982)]
  13. Novikov S P Trudy MIAN 166 201 (1984) [Proc. Steklov Inst. Math. 1 (1986)]
  14. Novikov S P Topological Methods in Mathematics (Proc. Conference dedicated to the 60th birthday of J. Milnor, June 15-22, 1991, S.U.N.Y: Stony Brook, 1993)
  15. Novikov S P Proc. Conf. of Geometry (December 15-26, 1993, Tel Aviv: Tel Aviv University, 1995)
  16. Zorich A V Usp. Matem. Nauk 39 235 (1984) [Russian Math. Surveys]
  17. Dynnikov I A Usp. Matem. Nauk 47 161 (1992) [Russian Math. Surveys 51 (3) 172-173 (1992)]
  18. Dynnikov I A Usp. Matem. Nauk 48 179 (1993) [Russian Math. Surveys 48 (2) 173-174 (1993)]
  19. Dynnikov I A Mat. Zametki53 57 (1993) [Math. Notes 53 (5) 495-501 (1993)]
  20. Dynnikov I A "Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples", in Solitons, Geometry, and Topology: On the Crossroad (Advances in the Mathematical Sciences, 33; American Mathematical Society Translations, 0065-9290, Ser. 2, Vol. 179, Eds V M Buchstaber, S P Novikov, Providence, R.I.: American Mathematical Society, 1997)
  21. Dynnikov I A Surfaces in 3-Torus: Geometry of plane sections (Proc. of ECM2, BuDA, 1996)
  22. Dynnikov I A, Dissertation for the degree of Candidate of Physical and Mathematical Sciences (Moscow: Izd. MGU, 1996)
  23. Tsarev S P Private communication (1992-1993)
  24. Novikov S P, Mal’tsev A Ya Pis’ma Zh. Eksp. Teor. Fiz. 63 809 (1996) [JETP Lett. 63 855 (1996)]
  25. Pippard A B Philos. Trans. R. Soc. London Ser. A 250 325 (1957)
  26. Dynnikov I A, Mal’tsev A Ya Zh. Eksp. Teor. Fiz. 112 371 (1997) [JETP 85 205 (1997)]
  27. Mal’tsev A Ya Zh. Eksp. Teor. Fiz. 112 1710 (1997) [JETP 85 934 (1997)]
  28. Cohen M H, Falicov L M Phys. Rev. Lett. 7 231 (1961)

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