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

Issues

 / 

2011

 / 

August

←  →

Reviews of topical problems


Local geometry of the Fermi surface and its effect on the electronic characteristics of normal metals

 a, b
a Department of Physics and Electronics, University of Puerto Rico-Humacao, CUH Station, Humacao, Puerto Rico, USA
b Institute for Functional Nanomaterials, University of Puerto Rico, San Juan, Puerto Rico, USA

Fine features in the Fermi surface geometry, such as nearly cylindrical or nearly paraboloidal strips or local flattenings, are examined as regards their effect on the electronic, mainly galvanomagnetic, properties of metals. It is shown that under certain conditions, these features may significantly change the way a conventional normal metal or a layered structure with metallic conductivity responds to high-frequency external disturbances. All of the effects considered appear to be very sensitive to the disturbance propagation direction and/or to that of the external magnetic field. Experimental possibilities of observing the described effects are discussed.

Fulltext pdf (693 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0181.201108a.0793
PACS: 71.10.Ay, 75.47.−m, 76.40.+b (all)
DOI: 10.3367/UFNe.0181.201108a.0793
URL: https://ufn.ru/en/articles/2011/8/a/
000298410800001
2-s2.0-81255197295
2011PhyU...54..769Z
Citation: Zimbovskaya N A "Local geometry of the Fermi surface and its effect on the electronic characteristics of normal metals" Phys. Usp. 54 769–798 (2011)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 10th, September 2010, revised: 9th, January 2011, 11th, January 2011

Оригинал: Зимбовская Н А «Локальная геометрия поверхности Ферми и её влияние на наблюдаемые электронные характеристики нормальных металлов» УФН 181 793–826 (2011); DOI: 10.3367/UFNr.0181.201108a.0793

References (138) ↓ Cited by (3) Similar articles (20)

  1. Ziman J M Principles Of The Theory Of Solids (Cambridge: Univ. Press, 1964); Zaiman Dzh M Printsipy Teorii Tverdogo Tela (M.: Mir, 1974)
  2. Lifshits I M, Azbel’ M Ya, Kaganov M I Elektronnaya Teoriya Metallov (M.: Nauka, 1971); Lifshits I M, Azbel M Ya, Kaga nov M I Electron Theory Of Metals (New York: Consultants Bureau, 1973)
  3. Cracknell A P, Wong K C The Fermi Surface: Its Concept, Determination, And Use In The Physics Of Metals (Oxford: Clarendon Press, 1973); Kreknell A, Uong K Poverkhnost’ Fermi. Ponyatie Poverkhnosti Fermi, Ee Opredelenie i Ispol’zovanie v Fizike Metallov (M.: Atomizdat, 1978)
  4. Abrikosov A A Osnovy Teorii Metallov (M.: Nauka, 1987); Abrikosov A A Fundamentals Of The Theory Of Metals (Amsterdam: North-Holland, 1988)
  5. Shoenberg D Magnetic Oscillations In Metals (Cambridge: Cambridge Univ. Press, 1984)
  6. Wosnitza J Fermi Surfaces Of Low-Dimensional Organic Metals And Superconductors (Berlin: Springer, 1996)
  7. Singleton J Rep. Prog. Phys. 63 1111 (2000)
  8. Kartsovnik M V, Peschanskii V G FNT 31 249 (2005); Kartsovnik M V, Peschansky V G Low. Temp. Phys. 31 185 (2005)
  9. Hussey N E J. Phys. Condens. Matter 20 123201 (2008)
  10. Rourke P M C et al. New J. Phys. 12 105009 (2010)
  11. Hussey N E et al. Nature 425 814 (2003)
  12. Doiron-Leyraud N et al. Nature 447 565 (2007)
  13. Yelland E A et al. Phys. Rev. Lett. 100 047003 (2008)
  14. Bangura A F et al. Phys. Rev. Lett. 100 047004 (2008)
  15. Vignolle B et al. Nature 455 952 (2008)
  16. Bangura A F et al. Phys. Rev. B 82 140501(R) (2010)
  17. Helm T et al. Phys. Rev. Lett. 103 157002 (2009)
  18. Fowler C M et al. Phys. Rev. Lett. 68 534 (1992)
  19. Kido G, Katayama-Yoshida H, Takahashi T J. Phys. Chem. Solids 53 1555 (1992)
  20. Damascelli A, Hussain Z, Shen Z-X Rev. Mod. Phys. 75 473 (2003)
  21. Lee P A, Nagaosa N, Wen X-G Rev. Mod. Phys. 78 17 (2006)
  22. Kamihara Y et al. J. Am. Chem. Soc. 130 3296 (2008)
  23. Wen H-H et al. Europhys. Lett. 82 17009 (2008)
  24. Chen G F et al. Phys. Rev. Lett. 100 247002 (2008)
  25. Ding H et al. Europhys. Lett. 83 47001 (2008)
  26. Zabolotnyy V B et al. Nature 457 569 (2009)
  27. Evtushinsky D V et al. Phys. Rev. B 79 054517 (2009)
  28. Nekrasov I A, Pchelkina Z V, Sadovskii M V Pis’ma ZhETF 88 155 (2008); Nekrasov I A, Pchelkina Z V, Sadovskii M V JETP Lett. 88 144 (2008)
  29. Nekrasov I A, Pchelkina Z V, Sadovskii M V Pis’ma ZhETF 88 621 (2008); Nekrasov I A, Pchelkina Z V, Sadovskii M V JETP Lett. 88 543 (2008)
  30. Sadovskii M V Usp. Fiz. Nauk 178 1243 (2008); Sadovskii M V Phys. Usp. 51 1201 (2008)
  31. Kontorovich V M, Sapogova N A Pis’ma ZhETF 18 381 (1973); Kontorovich V M, Sapogova N A JETP Lett. 18 223 (1973)
  32. Avanesyan G T, Kaganov M I, Lisovskaya T Yu Zh. Eksp. Teor. Fiz. 75 1786 (1978); Avanesyan G T, Kaganov M I, Lisovskaya T Yu Sov. Phys. JETP 48 900 (1978)
  33. Kontorovich V M, Stepanova N A Zh. Eksp. Teor. Fiz. 76 642 (1979); Kontorovich V M, Stepanova N A Sov. Phys. JETP 49 321 (1979)
  34. Kaganov M I, Lifshits I M Usp. Fiz. Nauk 129 487 (1979); Kaganov M I, Lifshits I M Sov. Phys. Usp. 22 904 (1979)
  35. Kaganov M I, Gribkova Yu V FNT 17 907 (1991); Kaganov M I, Gribkova Yu V Sov. J. Low Temp. Phys. 17 473 (1991)
  36. Burma N G i dr. FNT 32 1507 (2006); Burma N G et al. Low. Temp. Phys. 32 1147 (2006)
  37. Avramenko Yu A i dr. FNT 35 919 (2009); Avramenko Yu A et al. J. Low. Temp. Phys. 35 724 (2009)
  38. Stepanova N A FNT 3 1415 (1977); Stepanova N A Sov. J. Low Temp. Phys. 3 680 (1977)
  39. Suslov I M Fiz. Tverd. Tela 23 1652 (1981); Suslov I M Sov. Phys. Solid State 23 1114 (1981)
  40. Zimbovskaya N A Lokal’naya Geometriya Poverkhnosti Fermi i Vysokochastotnye Effekty v Metallakh (Ekaterinburg: Izd-vo UrO RAN, 1996); Zimbovskaya N A Local Geometry Of The Fermi Surface And High Frequency Phenomena In Metals (New York: Springer, 2001)
  41. Peschanskii V G, Lekhtsier V S, Tada A Fiz. Met. Metalloved. 56 855 (1983)
  42. Peschanskii V G, Dasanaeka M, Tsibulina E V FNT 11 297 (1985); Peschanskii V G, Dasanaeka M, Tzibulina E V Sov. J. Low Temp. Phys. 11 118 (1985)
  43. Grigoriev P D Phys. Rev. B 67 144401 (2003)
  44. Carrington A, Fletcher J D, Harima H Phys. Rev. B 71 174505 (2005)
  45. Bergemann C et al. Phys. Rev. Lett. 84 2662 (2000)
  46. Bergemann C et al. Adv. Phys. 52 639 (2003)
  47. Luttinger L M Phys. Rev. 121 1251 (1961)
  48. Abrikosov A A, Gor’kov L P, Dzyaloshinskii I E Metody Kvantovoi Teorii Polya v Statisticheskoi Fizike (M.: Fizmatgiz, 1962); Abrikosov A A, Gorkov L P, Dzyaloshinski I E Methods Of Quantum Field Theory In Statistical Physics (Englewood Cliffs, N.J.: Prentice-Hall, 1963)
  49. Pines D, Nozières P The Theory Of Quantum Liquids (New York: W.A. Benjamin, 1966); Pains D, Noz’er F Teoriya Kvantovykh Zhidkostei (M.: Mir, 1967)
  50. Mazin I I, Cohen R E Ferroelectrics 194 263 (1997)
  51. Platzman P M, Wolff P A Waves And Interactions In Solid State Plasmas (New York: Academic Press, 1973)
  52. Platzman P M, Walsh W M (Jr.) Phys. Rev. Lett. 19 514 (1967)
  53. Platzman P M, Walsh W M (Jr.), Foo E-Ni Phys. Rev. 172 689 (1968)
  54. Zyryanov P S, Okulov V I, Silin V P Pis’ma ZhETF 8 489 (1968); Zyryanov P S, Okulov V I, Silin V P JETP Lett. 8 300 (1968); Zyryanov P S, Okulov V I, Silin V P Pis’ma ZhETF 9 371 (1969); Zyryanov P S, Okulov V I, Silin V P JETP Lett. 9 220 (1969)
  55. Zimbovskaya N A FNT 21 286 (1995); Zimbovskaya N A Low Temp. Phys. 21 217 (1995)
  56. Kirichenko O V, Peschansky V G, Stepanenko D I Phys. Rev. B 71 045304 (2005)
  57. Zimbovskaya N A Phys. Rev. B 76 075104 (2007)
  58. Bagaev V N, Okulov V I, Pamyatnykh E A Pis’ma ZhETF 27 156 (1978); Bagaev V N, Okulov V I, Pamyatnykh E A JETP Lett. 27 144 (1978)
  59. Testardi L R, Condon J H Phys. Rev. B 1 3928 (1970)
  60. Zimbovskaya N A Phys. Rev. B 71 024109 (2005)
  61. Silin V P Zh. Eksp. Teor. Fiz. 38 977 (1960); Silin V P Sov. Phys. JETP 11 703 (1960)
  62. Wasserman A, Springford M Adv. Phys. 45 471 (1996)
  63. Okulov V I, Pamyatnykh E A Phys. Status Solidi B 60 771 (1973)
  64. Silin V P Zh. Eksp. Teor. Fiz. 33 1227 (1957); Silin V P JETP 6 945 (1958)
  65. Allen P B Phys. Rev. B 13 1416 (1976)
  66. Zimbovskaya N A i dr. FNT 8 930 (1982); Zimbovskaya N A et al. Sov. J. Low. Temp. Phys. 8 468 (1982)
  67. Pippard A B Proc. R. Soc. Lond. A 191 385 (1947)
  68. Reuter G E H, Sondheimer E H Proc. R. Soc. Lond. A 195 336 (1948)
  69. Dingle R B Physica 19 311 (1953)
  70. Pippard A B Proc. R. Soc. Lond. A 224 273 (1954)
  71. Sondheimer E H Proc. R. Soc. Lond. A 224 260 (1954)
  72. Glasser M L Phys. Rev. 176 1110 (1968)
  73. Zimbovskaya N A Fiz. Met. Metalloved. 62 1095 (1986)
  74. Ustinov V V, Khusainov D T FNT 11 1156 (1985); Ustinov V V, Khusainov D T Sov. J. Low Temp. Phys. 11 617 (1985)
  75. Kaganov M I, Kontreras P Zh. Eksp. Teor. Fiz. 106 1814 (1994); Kaganov M I, Contreras P JETP 79 985 (1994)
  76. Latyshev A V, Yushkanov A A Fiz. Tverd. Tela 51 630 (2009); Latyshev A V, Yushkanov A A Phys. Solid State 51 662 (2009)
  77. Alabina Y F, Latyshev A V, Yushkanov A A J. Math. Phys. 50 043516 (2009)
  78. Zimbovskaya N A Zh. Eksp. Teor. Fiz. 113 2229 (1998); Zimbovskaya N A JETP 86 1220 (1998)
  79. Fal’kovskii L A Pis’ma ZhETF 11 222 (1970); Fal’kovskii L A JETP Lett. 11 138 (1970)
  80. Zimbovskaya N A J. Phys. Condens. Matter 18 8149 (2006)
  81. Azbel’ M Ya, Kaner E A Zh. Eksp. Teor. Fiz. 32 896 (1957); Azbel’ M Ya, Kaner E A Sov. Phys. JETP 5 730 (1957)
  82. Kobelev A V, Silin V P Tr. FIAN SSSR 158 125 (1985)
  83. Zimbovskaya N A Phys. Rev. B 74 035110 (2006)
  84. Baraff G A, Grimes C C, Platzman P M Phys. Rev. Lett. 22 590 (1969)
  85. Naberezhnykh V P, Dan’shin N K Zh. Eksp. Teor. Fiz. 56 1223 (1969); Naberezhnykh V P, Dan’shin N K Sov. Phys. JETP 29 658 (1969)
  86. Naberezhnykh V P, Mel’nik V L Fiz. Tverd. Tela 7 258 (1965); Naberezhnykh V P, Mel’nik V L Sov. Phys. Solid State 7 197 (1965)
  87. Lacueva G, Overhauser A W Phys. Rev. B 33 3765 (1986)
  88. Overhauser A W Adv. Phys. 27 343 (1978)
  89. Giuliani G F, Overhauser A W Phys. Rev. B 20 1328 (1979)
  90. Coulter P G, Datars W R Can. J. Phys. 63 159 (1985)
  91. Jensen E, Plummer E W Phys. Rev. Lett. 55 1912 (1985)
  92. Zimbovskaya N A, Okulov V I Pis’ma ZhETF 46 102 (1987); Zimbovskaya N A, Okulov V I JETP Lett. 46 125 (1987)
  93. Zimbovskaya N A, Gumbs G Phys. Rev. B 72 045112 (2005)
  94. Demishev S V et al. Phys. Rev. B 53 12794 (1996)
  95. Demishev S V i dr. Zh. Eksp. Teor. Fiz. 111 979 (1997); Demishev S V et al. JETP 84 540 (1997)
  96. Kaner È A, Skobov V G Adv. Phys. 17 605 (1968)
  97. Cheng Y C, Clarke J S, Mermin D Phys. Rev. Lett. 20 1486 (1968)
  98. Zimbovskaya N A FNT 20 421 (1994); Zimbovskaya N A Low Temp. Phys. 20 350 (1994)
  99. Ying S C, Quinn J J Phys. Rev. 180 193 (1969)
  100. Alodzhants G P Zh. Eksp. Teor. Fiz. 59 1429 (1970); Alodzhants G P Sov. Phys. JETP 32 780 (1971)
  101. Cheng Y C Phys. Rev. B 3 2987 (1971)
  102. Lavrova V V i dr. Zh. Eksp. Teor. Fiz. 64 1839 (1973); Lavrova V V et al. Sov. Phys. JETP 37 929 (1973)
  103. Medvedev S V i dr. Zh. Eksp. Teor. Fiz. 69 2267 (1975); Medvedev S V et al. Sov. Phys. JETP 42 1152 (1975)
  104. Falk D S, Gerson B, Carolan J F Phys. Rev. B 1 406 (1970)
  105. Zimbovskaya N A i dr. Fiz. Met. Metalloved. 58 851 (1984)
  106. Zimbovskaya N A, Okulov V I Fiz. Met. Metalloved. 61 230 (1986)
  107. Gantmakher V F, Kaner E A Zh. Eksp. Teor. Fiz. 48 1572 (1965); Gantmakher V F, Kaner É A Sov. Phys. JETP 21 1053 (1965)
  108. Zimbovskaya N A, Gumbs G Solid State Commun. 146 88 (2008)
  109. Kontorovich V M Usp. Fiz. Nauk 142 265 (1984); Kontorovich V M Sov. Phys. Usp. 27 134 (1984)
  110. Zimbovskaya N A FNT 22 1137 (1996); Zimbovskaya N A Low Temp. Phys. 22 869 (1996)
  111. Kirichenko O V, Peschanskii V G FNT 20 574 (1994); Kirichenko O V, Peschanskii V G J. Low. Temp. Phys. 20 453 (1994)
  112. Zimbovskaya N A Zh. Eksp. Teor. Fiz. 107 1672 (1995); Zimbovskaya N A JETP 80 932 (1995)
  113. Zimbovskaya N A, Birman J L J. Phys. Condens. Matter 12 3337 (2000)
  114. Kaner E A Zh. Eksp. Teor. Fiz. 43 216 (1962); Kaner É A Sov. Phys. JETP 16 154 (1963)
  115. Kaner E A, Fal’ko V L, Yampol’skii V A Zh. Eksp. Teor. Fiz. 71 2389 (1976); Kaner É A, Fal’ko V L, Yampol’skii V A Sov. Phys. JETP 44 1260 (1976)
  116. Willett R L, West K W, Pfeiffer L N Phys. Rev. Lett. 78 4478 (1997)
  117. Smet J H et al. Phys. Rev. Lett. 80 4538 (1998)
  118. Willett R L Adv. Phys. 46 447 (1997)
  119. Halperin B I, Lee P A, Read N Phys. Rev. B 47 7312 (1993)
  120. Ingebrigtsen K A J. Appl. Phys. 40 2681 (1969)
  121. Bierbaum P Appl. Phys. Lett. 21 595 (1972)
  122. Mirlin A D et al. Phys. Rev. Lett. 81 1070 (1998)
  123. von Oppen F, Stern A, Halperin B I Phys. Rev. Lett. 80 4494 (1998)
  124. Zimbovskaya N A, Birman J L Phys. Rev. B 60 2864 (1999)
  125. Lifshits I M, Kosevich A M Zh. Eksp. Teor. Fiz. 29 730 (1955); Lifhits I M, Kosevich A M Sov. Phys. JETP 2 636 (1956)
  126. Gvozdikov V M et al. Phys. Rev. B 68 155107 (2003)
  127. Gvozdikov V M et al. Phys. Rev. B 70 245114 (2004)
  128. Zimbovskaya N A, Birman J L Int. J. Mod. Phys. B 16 1767 (2002)
  129. Blanter Ya M, Kaganov M I, Posvyanskii D V Usp. Fiz. Nauk 165 213 (1995); Blanter Ya M, Kaganov M I, Posvyanskii D V Phys. Usp. 38 203 (1995)
  130. Zimbovskaya N A J. Phys. Condens. Matter 19 176227 (2007)
  131. Yamaji K J. Phys. Soc. Jpn. 58 1520 (1989)
  132. Pesotskii S I i dr. Zh. Eksp. Teor. Fiz. 121 504 (2002); Pesotskii S I et al. JETP 94 431 (2002)
  133. Zimbovskaya N A Solid State Commun. 138 559 (2006)
  134. Zhang C, Gerhardts R R Phys. Rev. B 41 12850 (1990)
  135. Groß J, Gerhardts R R Phys. Rev. B 66 155321 (2002)
  136. Zimbovskaya N A, Okulov V I, Pamyatnykh E A Fiz. Met. Metalloved. 54 224 (1982)
  137. Gordon A, Vagner I D, Wyder P Adv. Phys. 52 385 (2003)
  138. Lazarev B G, Kaner E A, Chebotarev L V FNT 3 808 (1977); Lazarev B G, Kaner E A, Chebotarev L V Sov. J. Low Temp. Phys. 3 394 (1977)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions