Issues

 / 

2010

 / 

June

  

Reviews of topical problems


Quasicrystals

 a,  b, a
a National University of Science and Technology ‘MISIS’, Leninskii prosp. 4, Moscow, 119049, Russian Federation
b National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation

We review the structure of quasicrystals and theis electronic spectra, lattice excitation spectra, physical properties, and applications. The aperiodic filling of space according to certain rules with several structural units or overlapping atomic clusters is discussed. Perfect tiling, random tiling, and icosahedral glass models, as well as phason strain are considered. The effect that the aperiodic long-range order and local atomic structure have on electronic and thermal transport and on the optical, magnetic, and other properties is examined.

Fulltext pdf (834 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0180.201006a.0561
PACS: 61.44.Fw, 71.23.Ft, 75.50.Lk (all)
DOI: 10.3367/UFNe.0180.201006a.0561
URL: https://ufn.ru/en/articles/2010/6/a/
000281644500001
2-s2.0-77958602812
Citation: Vekilov Yu Kh, Chernikov M A "Quasicrystals" Phys. Usp. 53 537–560 (2010)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Âåêèëîâ Þ Õ, ×åðíèêîâ Ì À «Êâàçèêðèñòàëëû» ÓÔÍ 180 561–586 (2010); DOI: 10.3367/UFNr.0180.201006a.0561

References (227) ↓ Cited by (57) Similar articles (20)

  1. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1976) p. 440; Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  2. Shechtman D et al. Phys. Rev. Lett. 53 1951 (1984)
  3. Levine D, Steinhardt P J Phys. Rev. Lett. 53 2477 (1984)
  4. Senechal M Quasicrystals And Geometry (Cambridge: Cambridge Univ. Press, 1996)
  5. Schrödinger E What Is Life? The Physical Aspect Of The Living Cell And Mind And Matter (Cambridge: Univ. Press, 1967); Shredinger E Chto Takoe Zhizn’? S Tochki Zreniya Fiziki (M.: Atomizdat, 1972)
  6. Kimura K et al. J. Solid State Chem. 133 302 (1997)
  7. Shoemaker D P, Shoemaker S V Introduction To Quasicrystals (Ed. M V Jarič) (Boston: Academic Press, 1988) p. 1
  8. de Jongh L J (Ed.) Physics And Chemistry Of Metal Cluster Compounds (Dordrecht: Kluwer Acad. Publ., 1994)
  9. Bradley A J, Goldschmidt H J J. Inst. Met. 65 403 (1939)
  10. Prevarskii A P Izv. AN SSSR Metally (4) 220 (1971)
  11. Tsai A-P, Inoue A, Masumoto T Jpn. J. Appl. Phys. 26 L1505 (1987)
  12. Hardy H K, Silcock J M J. Inst. Met. 84 423 (1955)
  13. Dubost V et al. Nature 324 48 (1986)
  14. Sastry G V S et al. Mater. Res. Bull. 13 1065 (1978)
  15. Padezhnova E M i dr. Izv. AN SSSR Metally (4) 204 (1982)
  16. Luo Z et al. Scripta Metall. 28 1513 (1993)
  17. Janot C, Mosseri R (Eds) Proc. of the 5th Intern. Conf. on Quasicrystals, 22 - 26 May 1995, Avignon, France (Singapore: World Scientific, 1995)
  18. Takeuchi S, Fujiwara T (Eds) Proc. of the 6th Intern. Conf. on Quasicrystals, 26 - 30 May 1997, Tokyo, Japan (Singapore: World Scientific, 1998)
  19. "Proc. of the 7th Intern. Conf. on Quasicrystals, 20 - 24 September 1999, Stuttgart, Germany" Mater. Sci. Eng. A 294-296 1-912 (2000)
  20. "Proc. of the 8th Intern. Conf. on Quasicrystals, 8 - 13 September 2002, Bangalore, India" J. Non-Cryst. Solids 334-335 (2004)
  21. "Proc. of the 9th Intern. Conf. on Quasicrystals, 22 - 26 May 2005, Ames, Iowa, USA" Philos. Mag. 86 (3-5) (2006); "Proc. of the 9th Intern. Conf. on Quasicrystals, 22 - 26 May 2005, Ames, Iowa, USA" Philos. Mag. 86 (4-6) (2006)
  22. "Quasicrystals: the Silver Jubilee" Philos. Mag. 88 (13-15) (2008)
  23. "Proc. of the 10th Intern. Conf. on Quasicrystals, 6 - 10 July 2008, Zurich, Switzerland" Z. Kristallogr. 223 (11-12) (2008); "Proc. of the 10th Intern. Conf. on Quasicrystals, 6 - 10 July 2008, Zurich, Switzerland" Z. Kristallogr. 224 (1-2) (2009)
  24. Stadnik Z M (Ed.) Physical Properties Of Quasicrystals (Berlin: Springer, 1999)
  25. Trebin H-R (Ed.) Quasicrystals: Structure And Physical Properties (Weinheim: Wiley-VCH, 2003)
  26. Suck J-B, Schreiber M, Häussler P (Eds) Quasicrystals (Berlin: Springer-Verlag, 2002)
  27. Janssen T, Chapuis G, de Boissieu M Aperiodic Crystals: From Modulated Phases To Quasicrystals (Oxford: Oxford Univ. Press, 2007)
  28. Fujiwara T, Ishii Y (Eds) Quasicrystals (Amsterdam: Elsevier Science, 2008)
  29. Steurer W, Deloudi S Crystallography Of Quasicrystals (New York: Springer, 2009)
  30. Ritsch S Ph.D. Thesis (Zürich: Eidgenössische Technische Hochschule, 1996)
  31. Janot C, Dubois J M J. Phys. F Met. Phys. 18 2303 (1988)
  32. Tsai A-P, Inoue A, Masumoto T Jpn. J. Appl. Phys. 27 L1587 (1988)
  33. Guryan S A et al. Phys. Rev. Lett. 62 2409 (1989)
  34. Kimura K, Takeuchi S Quasicrystals: The State Of The Art (Eds D P DiVincenzo, P J Steinhardt) (Singapore: World Scientific, 1991) p. 313
  35. Tsai A-P et al. Mater. Trans. JIM 31 98 (1990)
  36. Beeli C, Nissen H-U, Robadey J Philos. Mag. Lett. 63 87 (1991)
  37. Beeli C Ph.D. Thesis (Zürich: Eidgenössische Technische Hochschule, 1992)
  38. Berenson R, Birman J L Phys. Rev. B 34 8926 (1986)
  39. Kycia S W et al. Phys. Rev. B 48 3544 (1993)
  40. Härtwig J et al. J. Phys. D 34 A103 (2001)
  41. Drehman A J, Pelton A R, Noack M A J. Mater. Res. 1 741 (1986)
  42. Ramachandrarao P, Sastry G V S Pramana 25 L225 (1985)
  43. Lilienfeld D A et al. Phys. Rev. Lett. 55 1587 (1985)
  44. Follstaedt D M, Knapp J A J. Appl. Phys. 59 1756 (1986)
  45. Cassada W A et al. Phys. Rev. Lett. 56 2276 (1986)
  46. Budai J D, Aziz M J Phys. Rev. B 33 2876 (1986)
  47. Chen H S, Kortan A R, Parsey J M (Jr.) Phys. Rev. B 36 7681 (1987)
  48. Guyot P, Kramer P, de Boissieu M Rep. Prog. Phys. 54 1373 (1991)
  49. Tsai A P Physical Properties Of Quasicrystals (Ed. Z M Stadnik) (Berlin: Springer, 1999) p. 5
  50. Fisher I R et al. Mater. Sci. Eng. A 294-296 10 (2000)
  51. Ranganathan S, Chattopadhyay K Annu. Rev. Mater. Sci. 21 437 (1991)
  52. McAlister A J et al. Scr. Met. 21 103 (1987)
  53. Elser V, Henley S L Phys. Rev. Lett. 55 2883 (1985)
  54. Henley S L, Elser V Philos. Mag. 53 59 (1986)
  55. Tsai A P The Science Of Complex Alloy Phases (Eds P Turchi, T Massalski) (Pittsburgh: TMS Publ., 2005) p. 201
  56. Goldman A I, Kelton R F Rev. Mod. Phys. 65 213 (1993)
  57. Koskenmaki D C, Chen H S, Rao K V Phys. Rev. B 33 5328 (1986)
  58. Chen H S et al. Phys. Rev. B 35 9326 (1987)
  59. Penrose R Bull. Inst. Math. Appl. 10 266 (1974)
  60. de Bruijn N G Proc. K. Ned. Akad. Wet. A 84 39 (1981)
  61. Levitov L S Zh. Eksp. Teor. Fiz. 93 1832 (1987); Levitov L S Sov. Phys. JETP 66 1046 (1987)
  62. Gardner M Sci. Am. 236 (1) 110 (1977)
  63. Kalugin P A, Kitaev A Yu, Levitov L S Pis’ma ZhETF 41 119 (1985); Kalugin P A, Kitaev A Yu, Levitov L S Sov. JETP Lett. 41 145 (1985)
  64. Kalugin P A, Kitayev A Yu, Levitov L S J. Physique Lett. 46 601 (1985)
  65. Gratias D, Cahn J W Scripta Met. 20 1193 (1986)
  66. Kramer P, Neri R Acta Cryst. A 40 580 (1984)
  67. de Wolff P M Acta Cryst. A 30 777 (1974)
  68. Janner A, Janssen T Phys. Rev. B 15 643 (1977)
  69. Elser V Phys. Rev. B 32 4892 (1985)
  70. Elser V Acta Cryst. A 42 36 (1986)
  71. Henley S L Phys. Rev. B 34 797 (1986)
  72. Kramer P Acta Cryst. A 43 486 (1987)
  73. Shelekhov E V, Skakov Yu A Kristallogr. 35 1354 (1990)
  74. Korepin V E Zapiski Nauchnykh Seminarov LOMI 155 116 (1986)
  75. Stephens P W, Goldman A I Phys. Rev. Lett. 56 1168 (1986)
  76. Robertson J L, Moss S S Phys. Rev. Lett. 66 353 (1991)
  77. Chidambaram R et al. Quasicrystals And Incommensurate Structures In Condensed Matter (Eds D Romeu, V Castano, A Gomez) (Singapore: World Scientific, 1990) p. 330
  78. Manaila R et al. J. Phys. Condens. Matter 6 2307 (1994)
  79. Ishii Y J. Non-Cryst. Solids 117-118 840 (1990)
  80. Chidambaram R et al. Phys. Rev. B 48 3030 (1993)
  81. van Smaalen S, de Boer J L, Shen Y Phys. Rev. B 43 929 (1991)
  82. de Boissieu M, Janot C, Dubois J M J. Phys. Condens. Matter 2 2499 (1990)
  83. Audier M, Guyot P Mater. Trans. JIM Suppl. 29 427 (1988)
  84. Cahn J W, Gratias D, Mozer V J. Physique 49 1225 (1988)
  85. Gratias D, Cahn J W, Mozer V Phys. Rev. B 38 1643 (1988)
  86. Hiraga K et al. Philos. Mag. B 67 193 (1993)
  87. de Boissieu M et al. Phys. Rev. Lett. 72 3538 (1994)
  88. Yamaguchi T, Fujima N J. Non-Cryst. Solids 117-118 765 (1990)
  89. Rakshun Ya V Avtoref. diss.... kand. fiz.-mat. nauk (M.: MIFI, 2007)
  90. Gummelt P Geometriae Dedicata 62 1 (1996)
  91. Alexander S, McTague J Phys. Rev. Lett. 41 702 (1978)
  92. Mermin N D, Troian S M Phys. Rev. Lett. 54 1524 (1985)
  93. Smith A P, Ashcroft N W Phys. Rev. B 38 12942 (1988)
  94. Smith A P Phys. Rev. B 42 1189 (1990)
  95. Olenev D V, Korzhavyi P A, Vekilov Yu X Zh. Eksp. Teor. Fiz. 104 4130 (1993); Olenev D V, Korzhavii P A, Vekilov Yu Kh JETP 77 998 (1993)
  96. Olenev D V, Vekilov Yu X Pis’ma ZhETF 60 706 (1994); Olenev D V, Vekilov Yu Kh JETP Lett. 60 726 (1994)
  97. Kohmoto M, Kadanoff L P, Tang S Phys. Rev. Lett. 50 1870 (1983)
  98. Kohmoto M, Sutherland V, Tang S Phys. Rev. B 35 1020 (1987)
  99. Tsunetsugu H et al. J. Phys. Soc. Jpn. 55 1420 (1986)
  100. Tsunetsugu H et al. Phys. Rev. B 43 8879 (1991)
  101. Fujiwara T Physical Properties Of Quasicrystals (Ed. Z M Stadnik) (Berlin: Springer, 1999) p. 169
  102. Yamamoto S, Fujiwara T Phys. Rev. B 62 8841 (1995)
  103. Vekilov Yu Kh, Isaev E I, Arslanov S F Phys. Rev. B 51 14040 (2000)
  104. Vekilov Yu X, Isaev E I, Godonyuk A V Zh. Eksp. Teor. Fiz. 124 1121 (2003); Vekilov Yu Kh, Isaev E I, Godoniuk A V JETP 97 1005 (2003)
  105. Mizutani U J. Phys. Condens. Matter 10 4609 (1998)
  106. Mizutani U Materials Sci. Eng. 294-296 464 (2000)
  107. Mizutani U, Takeuchi T, Sato H J. Phys. Condens. Matter 14 R767 (2002)
  108. Bancel P A, Heiney P A Phys. Rev. B 33 7917 (1986)
  109. Friedel J Helv. Phys. Acta 61 538 (1988)
  110. Smith A P, Ashcroft N W Phys. Rev. Lett. 59 1365 (1987)
  111. Vaks V G, Kamyshenko V V, Samolyuk G D Phys. Lett. A 132 131 (1988)
  112. Fradkin M A Pis’ma ZhETF 49 612 (1989); Fradkin M A JETP Lett. 49 705 (1989)
  113. Davydov D N et al. Phys. Rev. Lett. 77 3173 (1996)
  114. Widmer R et al. Philos. Mag. 86 781 (2006)
  115. Okada J T et al. J. Phys. Soc. Jpn. 76 033707 (2007)
  116. Dolinšek J et al. Phys. Rev. B 62 8862 (2000)
  117. Kalugin P A, Kitaev A Yu, Levitov L S Zh. Eksp. Teor. Fiz. 91 692 (1986); Kalugin P A, Kitaev A Yu, Levitov L S JETP 64 410 (1986)
  118. Vekilov Yu Kh, Isaev E I Pis’ma ZhETF 75 703 (2002); Vekilov Yu Kh, Isaev E I JETP Lett. 75 583 (2003)
  119. Lu J P, Odagaki T, Birman J L Phys. Rev. B 33 4809 (1986)
  120. Kalugin P A et al. Phys. Rev. B 53 14145 (1996)
  121. Los J, Janssen T, Gahler F J. Physique I 3 1431 (1993)
  122. Goldman A I et al. Phys. Rev. B 43 8763 (1991)
  123. Goldman A I et al. Phys. Rev. B 45 10280 (1992)
  124. Quilichini M et al. J. Physique I 51 1785 (1990)
  125. Quilichini M et al. J. Physique II 2 125 (1992)
  126. de Boissieu M et al. J. Phys. Condens. Matter 5 4945 (1993)
  127. Boudard M et al. J. Phys. Condens. Matter 7 7299 (1995)
  128. Quilichini M Rev. Mod. Phys. 69 277 (1997)
  129. Shibata K et al. J. Phys. Condens. Matter 14 1847 (2002)
  130. de Boissieu M et al. Nature Mater. 6 977 (2007)
  131. Dugain F et al. Aperiodic’97: Proc. of the Intern. Conf. on Aperiodic Crystals, 1997, France (Eds M de Boissieu, J-L Verger-Gaugry, R Currat) (Singapore: World Scientific, 1997) p. 651
  132. Suck J-B J. Non-Cryst. Solids 153-154 573 (1993)
  133. Dugain F et al. Eur. Phys. J. B 7 513 (1999)
  134. Chernikov M A et al. Phys. Rev. Lett. 80 321 (1998)
  135. Chernikov M A Usp. Fiz. Nauk 175 437 (2005); Chernikov M A Phys. Usp. 48 411 (2005)
  136. Hafner J, Krajčí M, Mihalkovič M Phys. Rev. Lett. 76 2738 (1996)
  137. Poon S J Adv. Phys. 41 303 (1992)
  138. Rodmar M et al. Phys. Rev. B 60 10807 (1999)
  139. Rapp Ö Physical Properties Of Quasicrystals (Ed. Z M Stadnik) (Berlin: Springer, 1999) p. 127
  140. Rapp Ö, Srinivas V, Poon S J Phys. Rev. B 71 012202 (2005)
  141. Mooij J H Phys. Status Solidi A 17 521 (1973)
  142. Chernikov M A, Isaev E I, Vekilov Yu Kh Phys. Lett. A 373 2179 (2009)
  143. Gantmakher V F Usp. Fiz. Nauk 172 1283 (2002); Gantmakher V F Phys. Usp. 45 1165 (2002)
  144. Gantmakher V F Elektrony v Neuporyadochennykh Sredakh (M.: FIZMATLIT, 2005); Gantmakher V F Electrons And Disorder In Solids (Oxford: Clarendon Press, 2005)
  145. Janot S Int. J. Mod. Phys. B 8 2245 (1994)
  146. Burkov S E, Timusk T, Ashcroft N W J. Phys. Condens. Matter 4 9447 (1992)
  147. Burkov S E, Varlamov A A, Livanov D V Pis’ma ZhETF 62 361 (1995); Burkov S E, Varlamov A A, Livanov D V JETP Lett. 62 338 (1995)
  148. Burkov S E, Varlamov A A, Livanov D V Phys. Rev. B 53 11504 (1996)
  149. Vekilov Yu X, Isaev E I, Livanov D V Zh. Eksp. Teor. Fiz. 121 203 (2002); Vekilov Yu Kh, Isaev E I, Livanov D V JETP 94 172 (2002)
  150. Vekilov Yu Kh, Isaev E I, Johansson V Phys. Lett. A 352 524 (2006)
  151. Vekilov Yu Kh, Isaev E I, Johansson V Solid State Commun. 133 473 (2005)
  152. Klein T et al. Europhys. Lett. 13 129 (1990)
  153. Biggs V D, Poon S J, Munirathnam N R Phys. Rev. Lett. 65 2700 (1990)
  154. Lindqvist P et al. Phys. Rev. B 48 630 (1993)
  155. Pierce F S, Guo Q, Poon S J Phys. Rev. Lett. 73 2220 (1994)
  156. Chernikov M A et al. Phys. Rev. B 62 262 (2000)
  157. Kirihara K, Nagata T, Kimura K J. Alloys Comp. 342 469 (2002)
  158. Kirihara K, Kimura K J. Appl. Phys. 979 (2002)
  159. Giannò K Mater. Sci. Eng. A 294-296 715 (2000)
  160. Homes S S et al. Phys. Rev. Lett. 67 2694 (1991); Solid State Commun. 87 721 (1993)
  161. Basov D N et al. Phys. Rev. Lett. 73 1865 (1994)
  162. Burkov S E, Rashkeev S N Solid State Commun. 92 525 (1994)
  163. Bianchi A D et al. Phys. Rev. B 55 5730 (1997)
  164. Basov D N et al. Phys. Rev. Lett. 72 1937 (1994)
  165. Bianchi A D et al. Phys. Rev. B 58 3046 (1998)
  166. Ziman J M Electrons And Phonons (Oxford: Clarendn Press, 1960); Zaiman Dzh Elektrony i Fonony (M.: IL, 1962)
  167. Wong K M et al. Phys. Rev. B 35 2494 (1987)
  168. Graebner J E, Chen H S Phys. Rev. Lett. 58 1945 (1987)
  169. Graebner J E et al. Phys. Rev. Lett. 39 1480 (1977)
  170. Stadnik Z M et al. J. Phys. Condens. Matter 14 6883 (2002)
  171. Azhazha V et al. Phys. Lett. A 303 87 (2002)
  172. Azhazha V M i dr. Fizika Nizkikh Temperatur 31 629 (2005); Azhazha V M et al. Low Temp. Phys. 31 477 (2005)
  173. Karkut M G, Hake R R Phys. Rev. B 28 1396 (1983)
  174. Matsuo S et al. J. Phys. Condens. Matter 1 6893 (1989)
  175. Saito K, Matsuo S, Ishimasa T J. Phys. Soc. Jpn. 62 604 (1993)
  176. Lück R, Kek S J. Non-Cryst. Solids 153-154 329 (1993)
  177. Chernikov M A et al. Phys. Rev. B 48 3058 (1993)
  178. Hattori Y et al. J. Phys. Condens. Matter 7 2313 (1995)
  179. Fisher I R et al. Phys. Rev. B 59 308 (1999)
  180. Yokoyama Y, Inoue A, Masumoto T Mater. Trans. JIM 33 1012 (1992)
  181. Yokoyama Y et al. Jpn. J. Appl. Phys. 33 3488 (1994)
  182. Lin C R et al. Phys. Lett. A 196 365 (1995)
  183. Lyubutin I S, Lin’ Ch R, Lin’ S T Zh. Eksp. Teor. Fiz. 111 1449 (1997); Lyubutin I S, Lin Ch R, Lin S T JETP 84 800 (1997)
  184. Matsuo S et al. J. Phys. F 18 L175 (1988)
  185. Krajčí M, Hafner J Phys. Rev. B 78 224207 (2008)
  186. Rau D et al. Eur. Phys. J. B 46 281 (2005)
  187. Prejean J J et al. Phys. Rev. B 73 214205 (2006)
  188. Hippert F et al. Phys. Rev. B 68 134402 (2003)
  189. Lasjaunias J S et al. Phys. Rev. B 52 886 (1995)
  190. Canella V Amorphous Magnetism (Eds H O Hooper, M A de Graaf) (New York: Plenum Press, 1973)
  191. Ford P J, Mydosh J A Phys. Rev. B 14 2057 (1976)
  192. Satoh M et al. Mater. Sci. Eng. A 181-182 801 (1994)
  193. Chernikov M A et al. Phys. Rev. B 68 094202 (2003)
  194. Rau D et al. Phys. Rev. B 68 134204 (2003)
  195. Sebastian S E et al. Philos. Mag. 84 1029 (2004)
  196. Baberschke K et al. Phys. Rev. B 29 4999 (1984)
  197. Sato T J et al. Phys. Rev. B 61 476 (2000)
  198. Dolinšek J et al. Phys. Rev. B 64 224209 (2001)
  199. Lifshitz R Phys. Rev. Lett. 80 2717 (1998)
  200. Charrier B, Schmitt D J. Magn. Magn. Mater. 171 106 (1997)
  201. Charrier B, Ouladdiaf B, Schmitt D Phys. Rev. Lett. 78 4637 (1997)
  202. Islam Z et al. Phys. Rev. B 57 R11047 (1998)
  203. Vekilov Yu X i dr. Zh. Eksp. Teor. Fiz. 127 1279 (2005); Vekilov Yu Kh et al. JETP 100 1127 (2005)
  204. Peierls R Ann. Physik 395 1055 (1929)
  205. Berman R Thermal Conduction In Solids (Oxford: Claredon Press, 1976)
  206. Berman R, Brock J S F Proc. R. Soc. London 289 46 (1965)
  207. Freeman J J , Anderson A S Phys. Rev. B 34 5684 (1986)
  208. Anderson P W, Halperin V I, Varma S M Philos. Mag. 25 1 (1972)
  209. Phillips W A J. Low Temp. Phys. 7 351 (1972)
  210. Zaitlin M P, Anderson A S Phys. Rev. B 12 4475 (1975)
  211. Cahill D G, Pohl R O Solid State Commun. 70 927 (1989)
  212. Chernikov M A, Bianchi A, Ott H R Phys. Rev. B 51 153 (1995)
  213. Chernikov M A et al. Quasicrystals. Proc. of the 5th Intern. Conf., 1995, France (Eds S Janot, R Mosseri) (Singapore: World Scientific, 1995) p. 569
  214. Chernikov M A et al. Europhys. Lett. 35 431 (1996)
  215. Vernier N et al. Europhys. Lett. 22 187 (1993)
  216. Piche Lm Phys. Rev. Lett. 32 1426 (1974)
  217. Kuo Y K et al. Phys. Rev. B 72 054202 (2005)
  218. Edagawa K et al. Phys. Rev. Lett. 77 1071 (1996)
  219. Perrot A et al. Quasicrystals. Proc. of the 5th Intern. Conf., 1995, France (Eds S Janot, R Mosseri) (Singapore: World Scientific, 1995) p. 588
  220. Huttunen-Saarivirta E J. Alloys Comp. 363 154 (2004)
  221. Liu P, Hultin Stigenberg A, Nilsson J-O Scripta Metall. Mater. 31 249 (1994)
  222. Nilsson J-O, Liu P, Dzugutov M Quasicrystals: Symp., 30 November-2 December 1998, Boston, MA (Eds J-M Dubois et al.) (Warrendale, PA: Materials Research Society, 1999) p. 513
  223. Inoue A et al. Proc. of the 6th Intern. Conf. on Quasicrystals, 26 - 30 May 1997, Tokyo, Japan (Eds S Takeuchi, T Fujiwara) (Singapore: World Scientific, 1997) p. 723
  224. Steurer W, Sutter-Widmer D J. Phys. D 40 R229 (2007)
  225. Kaputkina N E et al. Philos. Mag. 88 2253 (2008)
  226. Zeng X et al. Nature 98 157 (2004)
  227. Bindi L et al. Science 324 1306 (2009)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions