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Competition between superconductivity and magnetism in ferromagnet/superconductor heterostructures

 a,  b,  c
a Mikheev Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, S Kovalevskoi str. 18, Ekaterinburg, 620108, Russian Federation
b Kazan State University, ul. Lenina 18, Kazan, 420008, Russian Federation
c Vostok Branch, Kazan State Technical University, ul. Engelsa 127a, Chistopol, 422950, Russian Federation

The mutual influence of superconductivity and magnetism in F/S systems, i.e. systems of alternating ferromagnetic (F) and superconducting (S) layers, is comprehensively reviewed. For systems with ferromagnetic metal (FM) layers, a theory of the proximity effect in the dirty limit is constructed based on the Usadel equations. For an FM/S bilayer and an FM/S superlattice, a boundary-value problem involving finite FM/S boundary transparency and the diffusion and wave modes of quasi-particle motion is formulated; and the critical temperature Tc is calculated as a function of FM- and S-layer thicknesses. A detailed analysis of a large amount of experimental data amply confirms the proposed theory. It is shown that the superconducting state of an FM/S system is a superposition of two pairing mechanisms, Bardin-Cooper-Schrieffer’s in S layers and Larkin-Ovchinnikov-Fulde-Ferrell’s in FM ones. The competition between ferromagnetic and antiferromagnetic spontaneous moment orientations in FM layers is explored for the 0- and π-phase superconductivity in FM/S systems. For FI/S structures, where FI is a ferromagnetic insulator, a model for exchange interactions is proposed, which, along with direct exchange inside FI layers, includes indirect Ruderman-Kittel-Kasuya-Yosida exchange between localized spins via S-layer conduction electrons. Within this framework, possible mutual accommodation scenarios for superconducting and magnetic order parameters are found, the corresponding phase diagrams are plotted, and experimental results are explained. The results of the theory of the Josephson effect for S/F/S junctions are presented and the application of the theory of spin-dependent transport to F/S/F junctions is discussed. Application aspects of the subject are examined.

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Fulltext is also available at DOI: 10.1070/PU2002v045n02ABEH001025
PACS: 74.50.+r, 74.62.−c, 74.80.Dm, 74.80.Fp (all)
DOI: 10.1070/PU2002v045n02ABEH001025
URL: https://ufn.ru/en/articles/2002/2/a/
000176344900001
Citation: Izyumov Yu A, Proshin Yu N, Khusainov M G "Competition between superconductivity and magnetism in ferromagnet/superconductor heterostructures" Phys. Usp. 45 109–148 (2002)
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Оригинал: Изюмов Ю А, Прошин Ю Н, Хусаинов М Г «Конкуренция сверхпроводимости и магнетизма в гетероструктурах ферромагнетик/сверхпроводник» УФН 172 113–154 (2002); DOI: 10.3367/UFNr.0172.200202a.0113

References (176) ↓ Cited by (231) Similar articles (20)

  1. Ginzburg V L Zh. Eksp. Teor. Fiz. 31 202 (1956) [Sov. Phys. JETP 4 153 (1957)]; Zharkov G F Zh. Eksp. Teor. Fiz. 34 412 (1958) [Sov. Phys. JETP 7 278 (1958)]; 37 1784 (1959) [Sov. Phys. JETP 10 1257 (1959)]
  2. Anderson P W, Suhl H Phys. Rev. 116 898 (1959)
  3. White R M Quantum Theory of Magnetism (Berlin: Springer-Verlag, 1983) [Translated into Russian (Moscow: Mir, 1985)]
  4. Bulaevskii L N, Rusinov A I, Kuli M Solid State Commun. 30 59 (1979); J. Low Temp. Phys. 39 256 (1980)
  5. Bulaevskii L N et al. Solid State Commun. 44 1247 (1982); Phys. Rev. B 28 1370 (1983)
  6. Bulaevskii L N, Panjukov S V J. Low Temp. Phys. 52 137 (1983)
  7. Buzdin A I et al. Usp. Fiz. Nauk 144 597 (1984) [Sov. Phys. Usp. 27 927 (1984)]
  8. Bernhard C et al. Phys. Rev. B 59 14099 (1999)
  9. Pickett W E, Weht R, Shick A B Phys. Rev. Lett. 83 3713 (1999)
  10. Shimahara H, Hata S Phys. Rev. B 62 14541 (2000)
  11. Chmaissem O et al. Phys. Rev. B 61 6401 (2000)
  12. Lynn J W et al. Phys. Rev. B 61 R14964 (2000)
  13. Eisaki H et al. Phys. Rev. B 50 647 (1994)
  14. Huang Q et al. Phys. Rev. B 51 3701 (1995)
  15. Cho B K et al. Phys. Rev. B 52 3676 (1995)
  16. Abrikosov A A, Gor’kov L P Zh. Eksp. Teor. Fiz. 39 1781 (1960) [Sov. Phys. JETP 12 1243 (1961)]
  17. Baltensperger W Physica (Suppl.) 24S 153 (1958)
  18. Sarma G J. Phys. Chem. Solids 24 1029 (1963)
  19. Chandrasekhar B S Appl. Phys. Lett. 1 7 (1962)
  20. Clogston A M Phys. Rev. Lett. 9 266 (1962)
  21. Larkin A I, Ovchinnikov Yu N Zh. Eksp. Teor. Fiz. 47 1136 (1964) [Sov. Phys. JETP 20 762 (1965)]
  22. Fulde P, Ferrell R A Phys. Rev. 135 A550 (1964)
  23. Saint-James D, Sarma G, Thomas E J Type II Superconductivity (Oxford: Pergamon Press, 1969) [Translated into Russian (Moscow: Mir, 1970)]
  24. Aslamazov L G Zh. Eksp. Teor. Fiz. 55 1477 (1968) [Sov. Phys. JETP 28 832 (1968)]
  25. Takada S Prog. Theor. Phys. 43 27 (1970)
  26. de Gennes P G Rev. Mod. Phys. 36 225 (1964)
  27. Khusainov M G Pis’ma Zh. Eksp. Teor. Fiz. 53 554 (1991) [JETP Lett. 53 579 (1991)]
  28. Khusainov M G Sverkhprovodimost: Fiz., Khim., Tekh. 5 1789 (1992)
  29. Jin B Y, Ketterson J B Adv. Phys. 38 189 (1989)
  30. Hauser J J, Theuerer H C, Werthamer N R Phys. Rev. 142 118 (1966)
  31. Wong H K et al. J. Low Temp. Phys. 63 307 (1986)
  32. Homma H et al. Phys. Rev. B 33 3562 (1986)
  33. Moodera J S, Meservey R, Tedrow P M J. Magn. Magn. Mater. 54-57 769 (1986)
  34. Mattson J E et al. Phys. Rev. Lett. 68 3252 (1992)
  35. Kawaguchi K, Sohma M Phys. Rev. B 46 14722 (1992)
  36. Koorevaar P et al. Phys. Rev. B 49 441 (1994)
  37. Strunk C et al. Phys. Rev. B 49 4053 (1994)
  38. Verbanck G et al. Physica C 235-240 3295 (1994)
  39. Koorevaar P, Coehoorn R, Aarts J Physica C 248 61 (1995)
  40. Jiang J S et al. Phys. Rev. Lett. 74 314 (1995)
  41. Jiang J S et al. Phys. Rev. B 54 6119 (1996)
  42. Mühge Th et al. Phys. Rev. Lett. 77 1857 (1996)
  43. Obi Y et al. Czech. J. Phys. 46 721 (1996)
  44. Aarts J et al. Phys. Rev. B 56 2779 (1997)
  45. Mühge Th et al. Phys. Rev. B 55 8945 (1997)
  46. Mattson J E et al. Phys. Rev. B 55 70 (1997)
  47. Mattson J E et al. J. Vac. Sci. Technol. A 15 1774 (1997)
  48. Chien C L et al. J. Appl. Phys. 81 5358 (1997)
  49. Verbanck G et al. Phys. Rev. B 57 6029 (1998)
  50. Mühge Th et al. Physica C 296 325 (1998)
  51. Garif’yanov N N et al. Eur. Phys. J. B 1 405 (1998)
  52. Mühge Th et al. Phys. Rev. B 57 5071 (1998)
  53. Obi Y et al. Physica C 317-318 149 (1999)
  54. Attanasio C et al. Phys. Rev. B 57 6056 (1998)
  55. Attanasio C et al. Phys. Rev. B 57 14411 (1998)
  56. Lazar L et al. Phys. Rev. B 61 3711 (2000)
  57. Schöck M, Sürgers C, Löhneysen H V Eur. Phys. J. B 14 1 (2000)
  58. Lee S F et al. J. Magn. Magn. Mater. 209 231 (2000)
  59. Ogrin F Y et al. Phys. Rev. B 62 6021 (2000)
  60. Tagirov L R et al. J. Magn. Magn. Mater. 240 577 (2002)
  61. Radovi Z et al. Phys. Rev. B 44 759 (1991)
  62. Buzdin A I, Vuîichich B, Kupriyanov M Yu Zh. Eksp. Teor. Fiz. 101 231 (1992) [Sov. Phys. JETP 74 124 (1992)]
  63. Bulaevskiî L N, Kuziî V V, Sobyanin A A Pis’ma Zh. Eksp. Teor. Fiz. 25 314 (1977) [JETP Lett. 25 290 (1977)]
  64. Proshin Yu N, Khusainov M G Pis’ma Zh. Eksp. Teor. Fiz. 66 527 (1997) [JETP Lett. 66 562 (1997)]
  65. Khusainov M G, Proshin Yu N Phys. Rev. B 56 14283 (1997); 62 6832 (2000)
  66. Proshin Yu N, Khusainov M G Zh. Eksp. Teor. Fiz. 113 1708 (1998); 116 1882 (1999) [JETP 86 930 (1998); 89 1021 (1999)]
  67. Tagirov L R Physica C 307 145 (1998)
  68. Izyumov Yu A, Proshin Yu N, Khusainov M G Pis’ma Zh. Eksp. Teor. Fiz. 71 202 (2000) [JETP Lett. 71 138 (2000)]
  69. Khusainov M G, Izyumov Yu A, Proshin Yu N Physica B 284-288 503 (2000)
  70. Usadel K D Phys. Rev. Lett. 25 507 (1970)
  71. Eilenberger G Z. Phys. 214 195 (1968)
  72. Tedrow P M, Meservey R Phys. Rep. 238 173 (1994)
  73. Tedrow P M, Tkaczyk J E, Kumar A Phys. Rev. Lett. 56 1746 (1986)
  74. Hao X, Moodera J S, Meservey R Phys. Rev. Lett. 67 1342 (1991)
  75. Moodera J S et al. Phys. Rev. Lett. 61 637 (1988)
  76. Tokuyasu T, Sauls J A, Rainer D Phys. Rev. B 38 8823 (1988)
  77. Roesler G M et al. Proc. SPIE 2157 285 (1994)
  78. Khusainov M G Zh. Eksp. Teor. Fiz. 109 524 (1996) [JETP 82 278 (1996)]
  79. Khusainov M G Zh. Eksp. Teor. Fiz. 110 966 (1996) [JETP 83 533 (1996)]
  80. Kochelaev B I, Tagirov L R, Khusainov M G Zh. Eksp. Teor. Fiz. 76 578 (1979) [Sov. Phys. JETP 49 233 (1979)]
  81. Hornreich R M, Luban M, Shtrikman S Phys. Rev. Lett. 35 1678 (1975)
  82. Abrikosov A A, Gor’kov L P, Dzyaloshinskiî I E Metody Kvantovoî Teorii Polya v Statisticheskoî Fizike (Quantum Field Theoretical Methods in Statistical Physics, Moscow: Fizmatgiz, 1962) [Translated into English (Oxford: Pergamon Press, 1965)]
  83. Abrikosov A A, Gor’kov L P Zh. Eksp. Teor. Fiz. 35 1158 (1958) [Sov. Phys. JETP 8 1090 (1959)]; 36 319 (1959) [Sov. Phys. JETP 9 215 (1959)]
  84. Kupriyanov M Yu, Lukichev V F Zh. Eksp. Teor. Fiz. 94 (6) 139 (1988) [Sov. Phys. JETP 67 1163 (1988)]
  85. Radovi Z et al. Phys. Rev. B 38 2388 (1988)
  86. Gantmakher V F, Levinson I B Rasseyanie Nositeleî Toka v Metallakh i Poluprovodnikakh (Carrier Scattering in Metals and Semiconductors, Moscow: Nauka, 1984) p. 218 [Translated into English (Amsterdam: North-Holland, 1987)]
  87. Khusainov M G Pis’ma Zh. Eksp. Teor. Fiz. 61 947 (1995) [JETP Lett. 61 972 (1995)]
  88. Khusainov M G, Izyumov Yu A, Proshin Yu N Pis’ma Zh. Eksp. Teor. Fiz. 73 386 (2001) [JETP Lett. 73 344 (2001)]
  89. Kittel Ch Introduction to Solid State Physics (New York: Wiley, 1976) [Translated into Russian (Moscow: Nauka, 1978)]
  90. Buzdin A I, Vedyayev A V, Ryzhanova N V Europhys. Lett. 48 686 (1999)
  91. Tagirov L R Phys. Rev. Lett. 83 2058 (1999)
  92. Clinton T W, Johnson M Appl. Phys. Lett. 70 1170 (1997)
  93. Oh S, Youm D, Beasley M R Appl. Phys. Lett. 71 2376 (1997)
  94. Baladié I et al. Phys. Rev. B 63 054518 (2001)
  95. McLaughlin A C et al. Phys. Rev. B 60 7512 (1999)
  96. Edwards D M et al. Phys. Rev. Lett. 67 493 (1991)
  97. Sipr O, Gyorffy B L J. Phys.: Condens. Mat. 7 5239 (1995)
  98. Sá de Melo C A R Phys. Rev. B 62 12303 (2000)
  99. Parkin S S P Phys. Rev. Lett. 67 3598 (1991)
  100. Bergeret F S, Efetov K B, Larkin A I Phys. Rev. B 62 11872 (2000)
  101. Buzdin A Phys. Rev. B 62 11377 (2000)
  102. Koshina E A, Krivoruchko V N J. Low Temp. Phys. 26 115 (2000)
  103. Demler E A, Arnold G B, Beasley M R Phys. Rev. B 55 15174 (1997)
  104. Oh S et al. Phys. Rev. B 63 052501 (2001)
  105. Weber H W et al. Phys. Rev. B 44 7585 (1991)
  106. Stearns M B Phys. Rev. B 8 4383 (1973)
  107. Yousuf M, Sahu P Ch, Rajan K G Phys. Rev. B 34 8086 (1986)
  108. Kasuya T, in Magnetism Vol. 2B (Eds G T Rado, H Suhl, New York: Acad. Press, 1966) p. 215
  109. Proshin Yu N, Izyumov Yu A, Khusainov M G Izv. Ross. Akad. Nauk Ser. Fiz 65 841 (2001)
  110. Kuboya K, Takanaka K Phys. Rev. B 57 6022 (1998)
  111. Takahashi S, Tachiki M Phys. Rev. B 33 4620 (1986)
  112. Lodder A, Koperdraad R T W Physica C 212 81 (1993)
  113. de Gennes P G Phys. Lett. 23 10 (1966)
  114. Maki K, in Superconductivity Vol. 2 (Ed. R D Parks, New York: M. Dekker, 1969) p. 1035
  115. Millis A, Rainer D, Sauls J A Phys. Rev. B 38 4504 (1988)
  116. Tokuyasu T, Sauls J A, Rainer D Phys. Rev. B 38 8823 (1988)
  117. Kuli M L, Endres M Phys. Rev. B 62 11846 (2000)
  118. Buzdin A I, Bulaevskiî L N, Panyukov S V Pis’ma Zh. Eksp. Teor. Fiz. 35 147 (1982) [JETP Lett. 35 178 (1982)]
  119. Buzdin A I, Kupriyanov M Yu Pis’ma Zh. Eksp. Teor. Fiz. 53 308 (1991) [JETP Lett. 53 321 (1991)]
  120. Proki V, Buzdin A I, Dobrosavljevi-Gruji L Phys. Rev. B 59 587 (1999)
  121. Andreev A V, Buzdin A I, Osgood R M Phys. Rev. B 43 10124 (1991)
  122. Ryazanov V V et al. Phys. Rev. Lett. 86 2427 (2001)
  123. Ryazanov V V et al., cond-mat/0103240
  124. Ioffe L B et al. Nature 398 679 (1999)
  125. Blatter G, Geshkenbein V B, Ioffe L, cond-mat/9912163
  126. Kuli M L, Kuli I M Phys. Rev. B 63 104503 (2001)
  127. Bulaevskii L N et al. Phys. Rev. B 28 1370 (1983)
  128. Bergeret F S, Volkov A F, Efetov K B Phys. Rev. Lett. 86 3140 (2001)
  129. Prinz G A Phys. Today 48 (4) 58 (1995)
  130. Johnson M J. Magn. Magn. Mater. 156 321 (1996)
  131. Golubov A A Physica C 326-327 46 (1999)
  132. Golubov A, Tafuri F Phys. Rev. B 62 15200 (2000)
  133. Takahashi S, Imamura H, Maekawa S Phys. Rev. Lett. 82 3911 (1999)
  134. Zheng Z et al. Phys. Rev. B 62 14326 (2000)
  135. Moodera J S et al. Phys. Rev. Lett. 74 3273 (1995)
  136. Vas’ko V A et al. Phys. Rev. Lett. 78 1134 (1997)
  137. Dong Z W et al. Appl. Phys. Lett. 71 1718 (1997)
  138. Yeh N-C et al. Phys. Rev. B 60 10522 (1999)
  139. Geers J M E et al., cond-mat/0101138; submitted to Phys. Rev. B
  140. Abrikosov A A Osnovy Teorii Metallov (Fundamentals of the Theory of Metals, Moscow: Nauka, 1987) [Translated into English (Amsterdam: North-Holland, 1988)]
  141. Andreev A F Zh. Eksp. Teor. Fiz. 46 1823 (1964) [Sov. Phys. JETP 19 1228 (1965)]
  142. Kashiwaya S et al. Phys. Rev. B 60 3572 (1999)
  143. Hu C-R Phys. Rev. Lett. 72 1526 (1994)
  144. Zhu J-X, Friedman B, Ting C S Phys. Rev. B 59 9558 (1999)
  145. uti I, Valls O T Phys. Rev. B 61 1555 (2000)
  146. Furusaki A, Tsukada M Phys. Rev. B 43 10164 (1991)
  147. Andreev A F Zh. Eksp. Teor. Fiz. 49 655 (1966) [Sov. Phys. JETP 22 455 (1966)]
  148. Kuplevakhskiî S V, Fal’ko I I Fiz. Met. Metalloved. 71 668 (1991)
  149. de Jong M J M, Beenakker C W J Phys. Rev. Lett. 74 1657 (1995)
  150. Kuplevakhskiî S V, Fal’ko I I Pis’ma Zh. Eksp. Teor. Fiz. 52 957 (1990) [JETP Lett. 52 340 (1990)]
  151. Ziki R, Dobrosavljevi-Gruji L, Radovi Z Phys. Rev. B 59 14644 (1999)
  152. Kashiwaya S et al. Phys. Rev. B 51 1350 (1995)
  153. Hu C-R Phys. Rev. B 57 1266 (1998)
  154. Eschrig M Phys. Rev. B 61 9061 (2000)
  155. Fogelström M Phys. Rev. B 62 11812 (2000)
  156. Tanaka Y, Kashiwaya S Physica C 274 357 (1997)
  157. Veretennikov A V et al. Physica B 284-288 495 (2000)
  158. Sillanpaa M A et al., cond-mat/0102367; Europhys. Lett. 56 590 (2001)
  159. Sonin E B, cond-mat/0102102; submitted to Phys. Rev. B
  160. Bulaevskii L N et al. Phys. Rev. B 63 012502 (2001)
  161. Melin R Europhys. Lett. 51 202 (2000)
  162. Roussev R, Millis A J Phys. Rev. B 63 140504 (2001)
  163. Blagoev K B, Engelbrecht J R, Bedell K S Phys. Rev. Lett. 82 133 (1999)
  164. Karchev N I et al. Phys. Rev. Lett. 86 846 (2001)
  165. Saxena S S et al. Nature 406 587 (2000)
  166. Houzet M, Buzdin A Phys. Rev. B 63 184521 (2001)
  167. Bergeret F S, Volkov A F, Efetov K B Phys. Rev. Lett. 86 4096 (2001)
  168. Krivoruchko V N, Koshina E A, cond-mat/0104251
  169. Zhu Yu, Sun Qing-feng, Lin Tsung-han, cond-mat/0104103
  170. Ziki R, Dobrosavljevi- L, Radovi Z Phys. Rev. B 64 012501 (2001)
  171. Balestrino G et al. Phys. Rev. B 64 020506(R, 2001)
  172. Kim S-K et al. Phys. Rev. B 64 052406 (2001)
  173. Aumentado J, Chandrasekhar V Phys. Rev. B 64 054505 (2001)
  174. Izquierdo J et al. Phys. Rev. B 64 060404(R, 2001)
  175. Geers J M E et al. Phys. Rev. B 64 094506 (2001)
  176. Bergeret F S, Volkov A F, Efetov K B Phys. Rev. B 64 134506 (2001)

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