RSS feeds
РусскийEnglish
Issue 12, 2025
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1979

 / 

November

←  →

Physics of our days


Electron theory of metals and geometry

 a,
a P.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

Modern electron theory of metals abounds in geometric terminology and, by using geometric ideas, provides clear descriptions of many complicated phenomena. Some problems in the theory of normal metals that can be interpreted geometrically are examined in this paper in a language accessible to many physicists. Particular attention is devoted to those phenomena and properties that are connected with qualitative (topological) changes in geometric figures such as Fermi surfaces, plane sections though such surfaces, ``belts'' on the Fermi surface, and so on. Graphical illustrations of these ideas are provided.

Fulltext pdf (2.5 MB)
Fulltext is also available at DOI: 10.1070/PU1979v022n11ABEH005648
PACS: 71.10.+x, 71.25.Pi
DOI: 10.1070/PU1979v022n11ABEH005648
URL: https://ufn.ru/en/articles/1979/11/d/
Citation: Kaganov M I, Lifshits I M "Electron theory of metals and geometry" Sov. Phys. Usp. 22 904–927 (1979)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Каганов М И, Лифшиц И М «Электронная теория металлов и геометрия» УФН 129 487–529 (1979); DOI: 10.3367/UFNr.0129.197911d.0487

Cited by (56) ↓ Similar articles (7)

  1. Derunova E, Gayles Ja et al SciPost Phys. Core 8 (4) (2025)
  2. Korovushkin M M J Low Temp Phys (2025)
  3. Tyurin Yu I, Larionov V V, Varlachev V A J. Surf. Investig. 19 (1) 27 (2025)
  4. Zhu J, Cookmeyer T, Das S S Phys. Rev. B 110 (5) (2024)
  5. Luckin W R B, Li Y et al Phys. Rev. Research 6 (1) (2024)
  6. de Vries F K, Slizovskiy S et al Nano Lett. 24 (2) 601 (2024)
  7. Aygar A M, Durnan O et al ACS Nano 18 (12) 9092 (2024)
  8. Kong 孔 Ju 君, Su 苏 L 磊 et al Chinese Phys. Lett. 41 (10) 107101 (2024)
  9. Linnartz J F, Kool A et al Npj Quantum Mater. 9 (1) (2024)
  10. Karlina A I, Balanovskiy A E et al Applied Sciences 14 (21) 9774 (2024)
  11. Luo Sh, Du F et al Phys. Rev. B 108 (19) (2023)
  12. Korovushkin M M Phys. Scr. 98 (12) 125922 (2023)
  13. Tan X L, Hagiwara K et al Ultramicroscopy 253 113820 (2023)
  14. Alexandradinata A, Glazman L Annu. Rev. Condens. Matter Phys. 14 (1) 261 (2023)
  15. Schwarze B V, Uhlarz M et al J. Phys.: Condens. Matter 34 (42) 425502 (2022)
  16. Davydov V N Philosophical Magazine 101 (7) 867 (2021)
  17. Pogorelov Yu G, Kochan D, Loktev V M Low Temperature Physics 47 (9) 754 (2021)
  18. Zhang J, Ok J M et al Phys. Rev. B 104 (16) (2021)
  19. Beaulieu S, Dong Sh et al Sci. Adv. 7 (17) (2021)
  20. Davydov V N RSC Adv. 10 (46) 27387 (2020)
  21. Bazaliy Ya B, Bakai O S et al Ukr. J. Phys. 64 (12) 1154 (2019)
  22. Davydov V N Proc. R. Soc. A. 475 (2226) 20190028 (2019)
  23. Andreev A  V, Spivak B  Z Phys. Rev. Lett. 120 (2) (2018)
  24. Nikolaev A V Phys. Rev. B 98 (22) (2018)
  25. Bianconi A, Poccia N et al Supercond. Sci. Technol. 28 (2) 024005 (2015)
  26. Zimbovskaya N A Uspekhi Fizicheskikh Nauk 181 (8) 793 (2011)
  27. Lin J Phys. Rev. B 82 (19) (2010)
  28. Sadykov N R, Skorkin N A Tech. Phys. Lett. 35 (11) 994 (2009)
  29. Sadykov N R, Skorkin N A Atmos Ocean Opt 22 (3) 284 (2009)
  30. Pokrovsky V L Uspekhi Fizicheskikh Nauk 179 (11) 1237 (2009)
  31. Sundareswari M, Rajagopalan M Physica B: Condensed Matter 403 (17) 2530 (2008)
  32. Fulde P, Thalmeier P, Zwicknagl G Solid State Physics Vol. Solid State Physics - Advances in Research and ApplicationsStrongly Correlated Electrons60 (2006) p. 1
  33. Chandra Sh N V, Polvani D A et al Physica B: Condensed Matter 358 (1-4) 14 (2005)
  34. Thalmeier P, Zwicknagl G Handbook On The Physics And Chemistry Of Rare Earths Vol. 34 (2004) p. 135
  35. Kosevich Yu A, Syrkin E S, Kossevich A M Progress In Surface Science 55 (1) 59 (1997)
  36. Proshin Yu N, Useinov N Kh Uspekhi Fizicheskikh Nauk 165 (1) 41 (1995)
  37. Blanter Ya M, Tognetti V, Varlamov A A Physics Letters A 193 (3) 325 (1994)
  38. Blanter Ya M, Kaganov M I et al Physics Reports 245 (4) 159 (1994)
  39. Golosov D I, Kaganov M I J. Phys.: Condens. Matter 5 (10) 1481 (1993)
  40. Polyanovsky V Phys. Rev. B 47 (4) 1985 (1993)
  41. Zwicknagl G, Pulst U Physica B: Condensed Matter 186-188 895 (1993)
  42. Vaks V G Computer Simulation in Materials Science Chapter 22 (1991) p. 423
  43. Kaganov M I, Gribkova Yu V Soviet Journal of Low Temperature Physics 17 (8) 473 (1991)
  44. Zak J Phys. Rev. Lett. 67 (18) 2565 (1991)
  45. Katsnelson M I, Trefilov A V Physica B: Condensed Matter 163 (1-3) 182 (1990)
  46. Zak J Physics Letters A 135 (6-7) 385 (1989)
  47. Vaks V G, Trefilov A V J. Phys. F: Met. Phys. 18 (2) 213 (1988)
  48. Jannussis A, Skuras E, Papatheou V Nuov Cim B 98 (2) 145 (1987)
  49. Zavaritsky N V Pramana - J. Phys. 28 (5) 489 (1987)
  50. Zak J Physics Letters A 117 (7) 367 (1986)
  51. Andrievskii V V, Ass E I Soviet Journal of Low Temperature Physics 12 (5) 307 (1986)
  52. Kaganov M I, Lisovskaya T Yu, Nurmagambetov A A Soviet Journal of Low Temperature Physics 12 (6) 336 (1986)
  53. Zakharov Yu V, Titov L S Solid State Communications 53 (5) 447 (1985)
  54. Zawaritsky N V Physica B+C 126 (1-3) 369 (1984)
  55. Ziesche P, Lehmann G, Eschrig H Ergebnisse in der Elektronentheorie der Metalle Chapter 1 (1983) p. 1
  56. Peschanskii V G, Yasemidis K Soviet Journal of Low Temperature Physics 6 (4) 260 (1980)
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions