Issues

 / 

1998

 / 

March

  

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.

Fulltext pdf (279 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (42) ↓ Similar articles (20)

  1. Maltsev A Ya Proc. Steklov Inst. Math. 325 (1) 163 (2024)
  2. Mal’tsev A Ya Žurnal èksperimentalʹnoj I Teoretičeskoj Fiziki 166 (3) (2024)
  3. Maltsev A Ya, Novikov S P Journal of Mathematical Physics 65 (7) (2024)
  4. Mal’tsev A Ya Žurnal èksperimentalʹnoj I Teoretičeskoj Fiziki 164 (5) 817 (2023)
  5. Maltsev A Ya J. Exp. Theor. Phys. 137 (5) 706 (2023)
  6. Dynnikov I A, Mal’tsev A Ya, Novikov S P Uspekhi Matematicheskikh Nauk 77 (6(468)) 109 (2022)
  7. Dynnikov I A, Mal’tsev A Ya, Novikov S P Russian Math. Surveys 77 (6) 1061 (2022)
  8. Maltsev A Ya J. Exp. Theor. Phys. 135 (6) 927 (2022)
  9. Dynnikov I A, Maltsev A Ya, Novikov S P J. Exp. Theor. Phys. 135 (2) 240 (2022)
  10. Maltsev A Ya J. Exp. Theor. Phys. 133 (5) 599 (2021)
  11. Dynnikov I, Maltsev A J. Exp. Theor. Phys. 133 (6) 711 (2021)
  12. Maltsev A Ya J. Exp. Theor. Phys. 131 (6) 988 (2020)
  13. De Leo R, Maltsev A Y Acta Appl Math 162 (1) 47 (2019)
  14. Leo R D Advanced Mathematical Methods in Biosciences and Applications STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health Chapter 3 (2019) p. 53
  15. Maltsev A Ya J. Exp. Theor. Phys. 129 (1) 116 (2019)
  16. Mal’tsev A Ya, Novikov S P Uspekhi Matematicheskikh Nauk 74 (1(445)) 149 (2019)
  17. Maltsev A Ya, Novikov S P Proc. Steklov Inst. Math. 302 (1) 279 (2018)
  18. Maltsev A Ya J. Exp. Theor. Phys. 127 (6) 1087 (2018)
  19. Maltsev A Ya J. Exp. Theor. Phys. 125 (5) 896 (2017)
  20. Maltsev A Ya J. Exp. Theor. Phys. 124 (5) 805 (2017)
  21. Heikkilä T T, Volovik G E New J. Phys. 17 (9) 093019 (2015)
  22. Bianconi A, Poccia N et al Supercond. Sci. Technol. 28 (2) 024005 (2015)
  23. Grushin V V, Dobrokhotov S Yu Math Notes 87 (3-4) 521 (2010)
  24. Novikov S P Visions in Mathematics Chapter 15 (2010) p. 406
  25. Belov V V, Dobrokhotov S Yu, Tudorovskiy T Ya J Eng Math 55 (1-4) 183 (2006)
  26. Maltsev A Ya, Novikov S P Springer Series In Solid-State Sciences Vol. Topology in Condensed MatterTopology, Quasiperiodic Functions, and the Transport Phenomena150 Chapter 3 (2006) p. 31
  27. Kosevich A M Springer Series In Solid-State Sciences Vol. Topology in Condensed MatterTopology in the Electron Theory of Metals150 Chapter 2 (2006) p. 3
  28. Kartsovnı̆k M V, Peschansky V G Low Temperature Physics 31 (3) 185 (2005)
  29. Dynnikov I A, Dynnikov I A i dr Usp. Mat. Nauk 60 (1) 3 (2005)
  30. De Leo R Physica B: Condensed Matter 362 (1-4) 62 (2005)
  31. Maltsev A Ya Journal of Mathematical Physics 45 (3) 1128 (2004)
  32. Teufel S, Panati G Multiscale Methods in Quantum Mechanics Chapter 17 (2004) p. 207
  33. Maltsev A Ya, Novikov S P Journal Of Statistical Physics 115 (1-2) 31 (2004)
  34. Kosevich A M Low Temperature Physics 30 (2) 97 (2004)
  35. De Leo R SIAM J. Appl. Dyn. Syst. 2 (4) 517 (2003)
  36. BRÜNING J, DEMIDOV V V, GEYLER V A Int. J. Nanosci. 02 (06) 603 (2003)
  37. Bryuning I, Bruning J i dr Teor. Mat. Fiz. 131 (2) 304 (2002)
  38. Brüning J, Dobrokhotov S Yu, Pankrashkin K V Theoretical And Mathematical Physics 131 (2) 704 (2002)
  39. Peschansky V G, Atalla R Low Temperature Physics 27 (12) 1018 (2001)
  40. De Leo R, De Leo R Usp. Mat. Nauk 55 (1) 181 (2000)
  41. Novikov S P, Novikov S P i dr Usp. Mat. Nauk 54 (5) 147 (1999)
  42. Usp. Mat. Nauk 54 (1) 5 (1999)

© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions