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Vortex motion and resistivity of type-ll superconductors in a magnetic field

 a,
a Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

The review analyzes the physical mechanisms of energy dissipation in type-II superconducting alloys in the mixed state. A very simple microscopic theory is presented for the dissipative processes in alloys with paramagnetic impurities. The main premises of the microscopic theory are described and its results are presented for the resistivity in the case of ordinary alloys (without paramagnetic impurities) in weak magnetic fields smaller than the upper critical field, at the low temperatures and at temperatures close to critical, and also in the case of strong magnetic fields, on the order of the upper critical field, in the entire temperature interval. The theory is compared with experiment.

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Fulltext is also available at DOI: 10.1070/PU1975v018n07ABEH004891
PACS: 74.40.-j, 74.20.Gh, 74.30.Hp
DOI: 10.1070/PU1975v018n07ABEH004891
URL: https://ufn.ru/en/articles/1975/7/b/
Citation: Gor’kov L P, Kopnin N B "Vortex motion and resistivity of type-ll superconductors in a magnetic field" Sov. Phys. Usp. 18 496–513 (1975)
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Оригинал: Горьков Л П, Копнин Н Б «Движение вихрей и электросопротивление сверхпроводников второго рода в магнитном поле» УФН 116 413–448 (1975); DOI: 10.3367/UFNr.0116.197507b.0413

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  17. Punyamoorty V, Malusare A et al Phys. Rev. Research 3 (3) (2021)
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  21. Smith M, Andreev A V et al Phys. Rev. B 102 (18) (2020)
  22. Petukhova O E, Popov M R et al Physica C: Superconductivity And Its Applications 578 1353738 (2020)
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  24. Pompeo N, Alimenti A et al J. Phys.: Conf. Ser. 1559 012055 (2020)
  25. Menezes R M, Neto J F S et al Phys. Rev. B 100 (1) (2019)
  26. Ronseaux P, Othmen R et al 126 (16) (2019)
  27. Liang Q, Liu T et al Phys. Rev. B 100 (21) (2019)
  28. Heikkilä T T, Silaev M et al Progress In Surface Science 94 100540 (2019)
  29. Rabinovich D  S, Bobkova I  V et al Phys. Rev. Lett. 123 (20) (2019)
  30. Bartolomé E, Vallés F et al Phys. Rev. B 100 (5) (2019)
  31. Wu Ch, Sun W SIAM J. Numer. Anal. 56 1291 (2018)
  32. Kennes D M, Millis A J Phys. Rev. B 96 (6) (2017)
  33. Vargunin A, Silaev M A Phys. Rev. B 96 (21) (2017)
  34. Graber V, Andersson N, Hogg M Int. J. Mod. Phys. D 26 1730015 (2017)
  35. Duarte E C S, Sardella E et al J. Phys.: Condens. Matter 29 405605 (2017)
  36. Checchin M, Martinello M et al Supercond. Sci. Technol. 30 034003 (2017)
  37. Kato Yu, Chung Ch-K J. Phys. Soc. Jpn. 85 033703 (2016)
  38. Silaev M, Vargunin A Phys. Rev. B 94 (22) (2016)
  39. Gusakov M  E, Dommes V  A Phys. Rev. D 94 (8) (2016)
  40. Madan I, Kusar P et al Phys. Rev. B 93 (22) (2016)
  41. Dutta P, Chattopadhyay S et al Supercond. Sci. Technol. 28 115004 (2015)
  42. Bezuglyi E V 41 602 (2015)
  43. Bespalov A A, Mel’nikov A S, Buzdin A I Phys. Rev. B 89 (5) (2014)
  44. Bespalov A A, Mel’nikov A S, Buzdin A I Physica C: Superconductivity And Its Applications 503 98 (2014)
  45. Shahbasyan K M, Shahbasyan M K, Sedrakian A D Astrophysics 57 105 (2014)
  46. Zolochevskii I V 40 867 (2014)
  47. Shahabasyan K M, Shahabasyan M K, Sedrakian A D J. Phys.: Conf. Ser. 496 012018 (2014)
  48. Arahata E, Kato Y J Low Temp Phys 175 346 (2014)
  49. Bespalov A A, Mel’nikov A S Supercond. Sci. Technol. 26 085014 (2013)
  50. Shahabasyan K M, Shahabasyan M K, Sedrakian A D Astrophysics 56 255 (2013)
  51. Baranov V V, Balanov A G, Kabanov V V Phys. Rev. B 87 (17) (2013)
  52. Mihailovic D, Mertelj T et al J. Phys.: Condens. Matter 25 404206 (2013)
  53. Baranov V V, Balanov A G, Kabanov V V J. Phys.: Conf. Ser. 400 022005 (2012)
  54. Clem J R, Kogan V G Phys. Rev. B 86 (17) (2012)
  55. Bespalov A A, Mel’nikov A S Phys. Rev. B 85 (17) (2012)
  56. Baranov V V, Balanov A G, Kabanov V V Acta Phys. Pol. A 121 1038 (2012)
  57. Lu-Dac M, Kabanov V V Journal Of Physics And Chemistry Of Solids 72 403 (2011)
  58. Zolochevskii I V 37 979 (2011)
  59. Démery V, Dean D S Eur. Phys. J. E 32 377 (2010)
  60. Zolochevskii I V 36 1042 (2010)
  61. Pogosov W V Phys. Rev. B 81 (18) (2010)
  62. Lu-Dac M, Kabanov V V Physica C: Superconductivity 470 942 (2010)
  63. Lu-Dac M, Kabanov V V Phys. Rev. B 79 (18) (2009)
  64. Kabanov V V, Mamin R F, Shaposhnikova T S J. Exp. Theor. Phys. 108 286 (2009)
  65. Eschrig M, Sauls J A New J. Phys. 11 075009 (2009)
  66. Hernández A D, Domínguez D Phys. Rev. B 77 (22) (2008)
  67. Skoryk M A, Kalenyuk A A et al Supercond. Sci. Technol. 21 035007 (2008)
  68. Lu-Dac M, Kabanov V V J. Phys.: Conf. Ser. 129 012050 (2008)
  69. Kim S, Burkardt J et al Phys. Rev. B 76 (2) (2007)
  70. Kudasov Yu B, Philippov A V Instrum Exp Tech 50 806 (2007)
  71. Kes P H Materials Science and Technology 1 (2006)
  72. Ignatjev V K 31 1027 (2005)
  73. Milošević M V, Peeters F M Phys. Rev. Lett. 94 (22) (2005)
  74. Amin K M, Kogan V G, Pokrovsky V L Phys. Rev. B 71 (2) (2005)
  75. Pan V M, Luzhbin D A et al 31 254 (2005)
  76. Berezin V A, Tulin V A Phys. Solid State 46 1398 (2004)
  77. Vodolazov D Y, Maksimov I L, Brandt E H Physica C: Superconductivity 384 211 (2003)
  78. Kosse A I, Kuzovlev Yu E et al Jetp Lett. 78 379 (2003)
  79. Eschrig M, Rainer D, Sauls J A Springer Series In Solid-State Sciences Vol. Vortices in Unconventional Superconductors and SuperfluidsVortex Core Structure and Dynamics in Layered Superconductors132 Chapter 11 (2002) p. 175
  80. Winiecki T, Adams C S Phys. Rev. B 65 (10) (2002)
  81. Nonequilibrium Electrons and Phonons in Superconductors Chapter 7 (2002) p. 151
  82. Kopnin N B Rep. Prog. Phys. 65 1633 (2002)
  83. Zhelezina N V, Maksimova G M Phys. Solid State 43 2018 (2001)
  84. Aranson I S, Kopnin N B, Vinokur V M Phys. Rev. B 63 (18) (2001)
  85. Nordborg H, Kaper H G Practical Asymptotics Chapter 12 (2001) p. 221
  86. Lomtev A I Phys. Solid State 43 2025 (2001)
  87. Eschrig M, Sauls J A et al High-Tc Superconductors and Related Materials Chapter 21 (2001) p. 413
  88. Lomtev A I Phys. Solid State 42 1584 (2000)
  89. Šášik R, Bettencourt L M A, Habib S Phys. Rev. B 62 1238 (2000)
  90. Lomtev A I Jetp Lett. 71 426 (2000)
  91. Koshelev A E Phys. Rev. B 62 R3616 (2000)
  92. Blackburn J F, Campbell A, Salje E K H Philosophical Magazine B 80 1455 (2000)
  93. Vodolazov D Yu Phys. Rev. B 62 8691 (2000)
  94. Nikulov A V Physics and Materials Science of Vortex States, Flux Pinning and Dynamics Chapter 31 (1999) p. 609
  95. Dai M C, Yang T J Solid State Communications 110 425 (1999)
  96. Nikulov A V Symmetry and Pairing in Superconductors Chapter 12 (1999) p. 131
  97. Benvenuti C, Calatroni S et al Physica C: Superconductivity 316 153 (1999)
  98. Nikulov A V, Milani E et al Supercond. Sci. Technol. 12 442 (1999)
  99. Vodolazov D Yu, Maksimov I L, Brandt E H Europhys. Lett. 48 313 (1999)
  100. Bezuglyj A I Physica C: Superconductivity 323 122 (1999)
  101. Simha R A, Ramaswamy S Phys. Rev. Lett. 83 3285 (1999)
  102. Eschrig M, Sauls J A, Rainer D Phys. Rev. B 60 10447 (1999)
  103. Gollnik F, Huebener R P Phys. Rev. B 57 7495 (1998)
  104. Kteyan A A, Vardanian R A Mod. Phys. Lett. B 12 973 (1998)
  105. Mu M, Huang Yu SIAM J. Numer. Anal. 35 1740 (1998)
  106. Aranson I, Vinokur V Phys. Rev. B 57 3073 (1998)
  107. Kopnin N B, Vinokur V M Phys. Rev. Lett. 81 3952 (1998)
  108. Chigvinadze J G, Mamniashvili G I 24 712 (1998)
  109. Vysheslavtsev P P, Kurin V V et al Radiophys Quantum Electron 40 139 (1997)
  110. Nikulov A V Fluctuation Phenomena in High Temperature Superconductors Chapter 21 (1997) p. 271
  111. Alvarez J J V, Domínguez D, Balseiro C A Phys. Rev. Lett. 79 1373 (1997)
  112. Karamikhova R Nonlinear Analysis: Theory, Methods & Applications 30 1893 (1997)
  113. Blum T, Moore M A Phys. Rev. B 56 372 (1997)
  114. Ziswiler P, Geshkenbein V, Blatter G Phys. Rev. B 56 416 (1997)
  115. Radievskii A V, Zel’tser A S, Filippov A É Phys. Solid State 39 29 (1997)
  116. Mel’nikov A S Phys. Rev. Lett. 77 2786 (1996)
  117. Aranson I, Shapiro B Ya, Vinokur V Phys. Rev. Lett. 76 142 (1996)
  118. Bulaevskii L N, Domínguez D et al Phys. Rev. B 54 7521 (1996)
  119. Bark K, Giuliani G F Phys. Rev. B 54 15468 (1996)
  120. Plaçais B, Mathieu P et al Phys. Rev. B 54 13083 (1996)
  121. Bulaevskii L N, Domínguez D et al Phys. Rev. B 53 14601 (1996)
  122. Aranson I, Gitterman M et al Phys. Scr. T67 125 (1996)
  123. Mel’nikov A S Phys. Rev. B 53 449 (1996)
  124. Aranson I, Vinokur V Phys. Rev. Lett. 77 3208 (1996)
  125. Mel’nikov A S Czech J Phys 46 1793 (1996)
  126. Kopnin N B Physica B: Condensed Matter 210 267 (1995)
  127. Arodź H Phys. Rev. D 52 1082 (1995)
  128. Aranson I, Gitterman M, Shapiro B Ya Phys. Rev. B 51 3092 (1995)
  129. Brandt E H Rep. Prog. Phys. 58 1465 (1995)
  130. Kopnin N B, Lopatin A V et al Phys. Rev. Lett. 74 4527 (1995)
  131. Nikulov A V, Remisov D Yu, Oboznov V A Phys. Rev. Lett. 75 2586 (1995)
  132. Gordeev A V, Kingsep A S, Rudakov L I Physics Reports 243 215 (1994)
  133. Berezin V A, Il’ichev E V et al Phys. Rev. B 49 4331 (1994)
  134. Sonin E B, Krusius M The Vortex State Chapter 10 (1994) p. 193
  135. Dolgov O V, Khomskii D Physica C: Superconductivity 235-240 2951 (1994)
  136. Babić E, Kušević I et al Phys. Rev. B 49 15312 (1994)
  137. Aranson I, Gitterman M, Shapiro B Ya J Low Temp Phys 97 215 (1994)
  138. Artemenko S N, Krämer C, Wonneberger W Physica C: Superconductivity 220 101 (1994)
  139. Bulaevskii L N, Cho J H et al Phys. Rev. B 50 3507 (1994)
  140. Du Q Computers & Mathematics With Applications 27 119 (1994)
  141. Livanov D V Phys. Rev. B 50 9631 (1994)
  142. Mints R G, Snapiro I B Phys. Rev. B 49 6188 (1994)
  143. Sonin E B, Traito K B Phys. Rev. B 50 13547 (1994)
  144. Korshunov S E Phys. Rev. B 50 13616 (1994)
  145. Bulaevskii L N, Maley M P, Schegolev I F Physica B: Condensed Matter 197 506 (1994)
  146. Bulaevskii L N, Maley M P Phys. Rev. Lett. 71 3541 (1993)
  147. Achkir D, Poirier M et al Synthetic Metals 56 2917 (1993)
  148. Bulaevskii L N, Kolesnikov N N et al Phys. Rev. Lett. 71 1891 (1993)
  149. Brandt E H Phase Transitions and Relaxation in Systems with Competing Energy Scales Chapter 2 (1993) p. 27
  150. Tagantsev A K, Traito K B Phys. Rev. B 48 10537 (1993)
  151. Kopnin N B, Ivlev B I, Kalatsky V A J Low Temp Phys 90 1 (1993)
  152. Hsu T C Physica C: Superconductivity 213 305 (1993)
  153. Brandt E H J Supercond 6 201 (1993)
  154. Marchenko V A, Nikulov A V Physica C: Superconductivity 210 466 (1993)
  155. Silva E, Marcon R, Matacotta F C Physica C: Superconductivity 218 109 (1993)
  156. Mints R G, Snapiro I B Physica A: Statistical Mechanics And Its Applications 200 426 (1993)
  157. Tagantsev A K, Traito K B Phys. Rev. B 47 2760 (1993)
  158. Kopnin N B Phys. Rev. B 47 14354 (1993)
  159. Krusius M, Korhonen J S et al Phys. Rev. B 47 15113 (1993)
  160. Logvenov G Yu, Larkin V A, Ryazanov V V Phys. Rev. B 48 16853 (1993)
  161. Mints R G, Snapiro I B Phys. Rev. B 47 3273 (1993)
  162. Kopnin N B J Low Temp Phys 93 117 (1993)
  163. Genenko Yu A Physica C: Superconductivity 215 343 (1993)
  164. Hao Zh, Hu Ch-R Phys. Rev. B 48 16818 (1993)
  165. Mints R G, Snapiro I B Europhys. Lett. 21 611 (1993)
  166. Arodź H, Wȩgrzyn P Physics Letters B 291 251 (1992)
  167. Helmut B E Physica C: Superconductivity 195 1 (1992)
  168. Sonin E B, Tagantsev A K, Traito K B Phys. Rev. B 46 5830 (1992)
  169. Brandt E H Journal Of Alloys And Compounds 181 339 (1992)
  170. Kasatkin A L, Pan V M et al High-Tc Superconductivity Research Reports In Physics Chapter 11 (1992) p. 150
  171. Dorsey A T Phys. Rev. B 46 8376 (1992)
  172. Kucera J T, Orlando T P et al Phys. Rev. B 46 11004 (1992)
  173. Hsu T C Phys. Rev. B 46 3680 (1992)
  174. Aranson I S, Kramer L, Weber A J Low Temp Phys 89 859 (1992)
  175. Ando Y, Akita Sh 70 4415 (1991)
  176. Volovik G E J. Phys.: Condens. Matter 3 357 (1991)
  177. Brandt E H High-Temperature Superconductivity Chapter 46 (1991) p. 437
  178. Ivlev B I, Ovchinnikov Yu N, Thompson R S Phys. Rev. B 44 7023 (1991)
  179. Kopelevich Y, Gupta A et al Physica C: Superconductivity 183 345 (1991)
  180. Sudbø A, Brandt E H Phys. Rev. B 43 10482 (1991)
  181. Esquinazi P J Low Temp Phys 85 139 (1991)
  182. Marcon R, Fastampa R et al Phys. Rev. B 43 2940 (1991)
  183. Kopnin N B, Salomaa M M Phys. Rev. B 44 9667 (1991)
  184. Ivlev B I, Kopnin N B Europhys. Lett. 15 349 (1991)
  185. Clem J R J Supercond 4 337 (1991)
  186. Clem J R, Coffey M W Phys. Rev. B 42 6209 (1990)
  187. Palmeri J Phys. Rev. B 42 4010 (1990)
  188. Sedrakyan D M, Sedrakyan A D, Shakhabasyan K M Astrophysics 32 170 (1990)
  189. Brandt E H NATO ASI Series Vol. Relaxation in Complex Systems and Related TopicsRelaxation of the Vortex Lattice in Type-II Superconductors222 Chapter 13 (1990) p. 95
  190. Ivlev B I, Kopnin N B Phys. Rev. B 42 10052 (1990)
  191. Artemenko S N, Gorlova I G, Latyshev Yu I Physics Letters A 138 428 (1989)
  192. Ivlev B I, Kopnin N B J Low Temp Phys 77 413 (1989)
  193. Gupta A, Esquinazi P et al Phys. Rev. Lett. 63 1869 (1989)
  194. van Dover R B, Schneemeyer L F et al Phys. Rev. B 39 4800 (1989)
  195. Juang J Y, Cutro J A et al Phys. Rev. B 38 7045 (1988)
  196. Sonin E B Rev. Mod. Phys. 59 87 (1987)
  197. Brandt E H, Esquinazi P et al Phys. Rev. Lett. 56 89 (1986)
  198. Brandt E H, Esquinazi P, Neckel H J Low Temp Phys 63 187 (1986)
  199. Esquinazi P, Neckel H et al J Low Temp Phys 64 1 (1986)
  200. Magradze O V, Matyushkina L V, Shukhman V A J Low Temp Phys 55 475 (1984)
  201. Ivlev B I, Kopnin N B Advances In Physics 33 47 (1984)
  202. Gurevich A V, Mints R G J. Phys. D: Appl. Phys. 14 1129 (1981)
  203. Sonin E B J Low Temp Phys 42 417 (1981)
  204. Aronov A G, Gal’perin Yu M et al Advances In Physics 30 539 (1981)
  205. Mints R G, Rakhmanov A L Rev. Mod. Phys. 53 551 (1981)
  206. Ivlev B I, Kopnin N B J Low Temp Phys 39 137 (1980)
  207. Kogan V G Physics Letters A 79 337 (1980)
  208. Monarkha Yu P 6 331 (1980)
  209. Brandt E H J Low Temp Phys 39 41 (1980)
  210. Goncharov I N, Dorofeev G L et al 6 337 (1980)
  211. Takayama T, Raychaudhuri A K, Rinderer L J Low Temp Phys 40 519 (1980)
  212. Brandt E H Physics Letters A 71 370 (1979)
  213. Krasnov Yu K, Matyushkina L V, Shukhman V A 5 51 (1979)
  214. Minenko E V, Kulik I O 5 583 (1979)
  215. Gabdulin V Z, Krasnov Yu K 4 727 (1978)
  216. Vuorio M J Low Temp Phys 32 589 (1978)
  217. de Vega H J Phys. Rev. D 18 2945 (1978)
  218. Krasnov Yu K 3 498 (1977)

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