125:
487:
386:
794:
836:
722:
230:
655:
412:, it is equivalent to the characteristic exponent describing a recovery of the order parameter away from a perturbation in the theory of the second order phase transitions.
410:
257:
157:
742:
685:
619:
585:
510:
565:
307:
181:
42:
534:
280:
621:
cm. The electron near or at the Fermi surface moving through the lattice of a metal produces behind itself an attractive potential of range of the order of
1289:
907:
Victor F. Weisskopf (1979). The
Formation of Cooper Pairs and the Nature of Superconducting Currents, CERN 79-12 (Yellow Report), December 1979
591:. The superconducting coherence length is a measure of the size of a Cooper pair (distance between the two electrons) and is of the order of
959:
1022:
61:
917:
429:
312:
892:
160:
1381:
1119:
997:
1229:
1317:
755:
1234:
952:
1017:
987:
867:
803:
1358:
1210:
1154:
1129:
687:
cm. For a very authoritative explanation based on physical intuition see the CERN article by V.F. Weisskopf.
1260:
1189:
693:
186:
1205:
1124:
416:
1412:
1312:
1307:
992:
945:
52:
1265:
1012:
624:
1048:
745:
588:
1391:
1250:
1182:
1099:
513:
391:
235:
48:), is the characteristic exponent of the variations of the density of superconducting component.
133:
1302:
1275:
1255:
1177:
797:
727:
1172:
841:
In strong-coupling, anisotropic and multi-component theories these expressions are modified.
749:
660:
594:
570:
495:
1376:
1332:
543:
285:
166:
27:
8:
1363:
1114:
1074:
519:
265:
1139:
968:
888:
863:
423:
of isotropic s-wave superconductor it is related to characteristic Cooper pair size:
17:
1348:
1322:
1094:
1069:
1002:
1371:
1104:
1109:
1053:
1043:
1007:
1406:
537:
1144:
1134:
1089:
1084:
1270:
1079:
982:
420:
51:
The superconducting coherence length is one of two parameters in the
937:
1297:
120:{\displaystyle \xi ={\sqrt {\frac {\hbar ^{2}}{2m|\alpha (T)|}}}}
1353:
1327:
482:{\displaystyle \xi _{BCS}={\frac {\hbar v_{f}}{\pi \Delta }}}
381:{\displaystyle \xi (T)\propto (1-T/T_{c})^{-{\frac {1}{2}}}}
1386:
806:
758:
730:
696:
663:
627:
597:
573:
546:
522:
498:
432:
394:
315:
288:
268:
238:
189:
169:
136:
64:
30:
830:
788:
736:
716:
679:
649:
613:
579:
559:
528:
504:
481:
404:
380:
301:
274:
251:
224:
175:
151:
119:
36:
887:. New York: Oxford university press. p. 62.
860:Introduction to Superconductivity, Second Edition
1404:
885:Superconductivity, Superfluids and Condensates
282:near the superconducting critical temperature
953:
789:{\displaystyle 0<\kappa <1/{\sqrt {2}}}
748:, is known as the Ginzburg–Landau parameter.
262:In Landau mean-field theory, at temperatures
960:
946:
876:
831:{\displaystyle \kappa >1/{\sqrt {2}}}
657:cm, the lattice distance being of order
536:is the mass of a Cooper pair (twice the
857:
1405:
882:
851:
55:of superconductivity. It is given by:
967:
941:
717:{\displaystyle \kappa =\lambda /\xi }
419:, for example in the weak-coupling
225:{\displaystyle \alpha _{0}(T-T_{c})}
13:
574:
473:
14:
1424:
22:superconducting coherence length
650:{\displaystyle 3\times 10^{-6}}
910:
901:
359:
331:
325:
319:
219:
200:
146:
140:
109:
105:
99:
92:
1:
918:"Superfluid States of Matter"
862:. New York, NY: McGraw-Hill.
844:
7:
567:is the Fermi velocity, and
405:{\displaystyle {\sqrt {2}}}
252:{\displaystyle \alpha _{0}}
10:
1429:
1290:Technological applications
589:superconducting energy gap
152:{\displaystyle \alpha (T)}
1341:
1288:
1243:
1219:
1198:
1162:
1153:
1062:
1032:Characteristic parameters
1031:
975:
1049:London penetration depth
746:London penetration depth
737:{\displaystyle \lambda }
161:Ginzburg–Landau equation
1342:List of superconductors
1220:By critical temperature
798:type-II superconductors
680:{\displaystyle 10^{-8}}
614:{\displaystyle 10^{-4}}
580:{\displaystyle \Delta }
514:reduced Planck constant
883:Annett, James (2004).
832:
790:
750:Type-I superconductors
738:
718:
681:
651:
615:
581:
561:
530:
506:
505:{\displaystyle \hbar }
483:
406:
382:
303:
276:
253:
226:
177:
159:is a parameter in the
153:
121:
53:Ginzburg–Landau theory
38:
988:Bean's critical state
833:
791:
739:
719:
682:
652:
616:
582:
562:
560:{\displaystyle v_{f}}
531:
507:
484:
407:
388:. Up to a factor of
383:
304:
302:{\displaystyle T_{c}}
277:
254:
227:
178:
176:{\displaystyle \psi }
154:
122:
39:
24:, usually denoted as
1163:By magnetic response
858:Tinkham, M. (1996).
804:
756:
728:
694:
661:
625:
595:
571:
544:
520:
496:
430:
392:
313:
286:
266:
236:
187:
167:
134:
62:
37:{\displaystyle \xi }
28:
1115:persistent currents
1100:Little–Parks effect
1075:Andreev reflection
1070:Abrikosov vortices
828:
786:
734:
714:
677:
647:
611:
577:
557:
526:
502:
479:
402:
378:
299:
272:
249:
222:
173:
149:
117:
34:
1413:Superconductivity
1400:
1399:
1318:quantum computing
1284:
1283:
1140:superdiamagnetism
969:Superconductivity
894:978-0-19-850756-7
826:
784:
529:{\displaystyle m}
477:
400:
374:
275:{\displaystyle T}
115:
114:
44:(Greek lowercase
18:superconductivity
1420:
1349:bilayer graphene
1323:Rutherford cable
1235:room temperature
1230:high temperature
1160:
1159:
1120:proximity effect
1095:Josephson effect
1039:coherence length
962:
955:
948:
939:
938:
932:
931:
929:
928:
914:
908:
905:
899:
898:
880:
874:
873:
855:
837:
835:
834:
829:
827:
822:
820:
795:
793:
792:
787:
785:
780:
778:
743:
741:
740:
735:
723:
721:
720:
715:
710:
686:
684:
683:
678:
676:
675:
656:
654:
653:
648:
646:
645:
620:
618:
617:
612:
610:
609:
586:
584:
583:
578:
566:
564:
563:
558:
556:
555:
535:
533:
532:
527:
511:
509:
508:
503:
488:
486:
485:
480:
478:
476:
468:
467:
466:
453:
448:
447:
415:In some special
411:
409:
408:
403:
401:
396:
387:
385:
384:
379:
377:
376:
375:
367:
357:
356:
347:
308:
306:
305:
300:
298:
297:
281:
279:
278:
273:
258:
256:
255:
250:
248:
247:
231:
229:
228:
223:
218:
217:
199:
198:
182:
180:
179:
174:
158:
156:
155:
150:
126:
124:
123:
118:
116:
113:
112:
95:
83:
82:
73:
72:
43:
41:
40:
35:
1428:
1427:
1423:
1422:
1421:
1419:
1418:
1417:
1403:
1402:
1401:
1396:
1367:
1337:
1280:
1239:
1226:low temperature
1215:
1194:
1149:
1105:Meissner effect
1058:
1054:Silsbee current
1027:
993:Ginzburg–Landau
971:
966:
936:
935:
926:
924:
916:
915:
911:
906:
902:
895:
881:
877:
870:
856:
852:
847:
821:
816:
805:
802:
801:
800:are those with
779:
774:
757:
754:
753:
752:are those with
729:
726:
725:
706:
695:
692:
691:
668:
664:
662:
659:
658:
638:
634:
626:
623:
622:
602:
598:
596:
593:
592:
572:
569:
568:
551:
547:
545:
542:
541:
521:
518:
517:
497:
494:
493:
469:
462:
458:
454:
452:
437:
433:
431:
428:
427:
395:
393:
390:
389:
366:
362:
358:
352:
348:
343:
314:
311:
310:
293:
289:
287:
284:
283:
267:
264:
263:
259:is a constant.
243:
239:
237:
234:
233:
213:
209:
194:
190:
188:
185:
184:
168:
165:
164:
135:
132:
131:
108:
91:
84:
78:
74:
71:
63:
60:
59:
29:
26:
25:
12:
11:
5:
1426:
1416:
1415:
1398:
1397:
1395:
1394:
1389:
1384:
1379:
1374:
1369:
1365:
1361:
1356:
1351:
1345:
1343:
1339:
1338:
1336:
1335:
1330:
1325:
1320:
1315:
1310:
1305:
1303:electromagnets
1300:
1294:
1292:
1286:
1285:
1282:
1281:
1279:
1278:
1273:
1268:
1263:
1258:
1253:
1247:
1245:
1244:By composition
1241:
1240:
1238:
1237:
1232:
1227:
1223:
1221:
1217:
1216:
1214:
1213:
1211:unconventional
1208:
1202:
1200:
1199:By explanation
1196:
1195:
1193:
1192:
1187:
1186:
1185:
1180:
1175:
1166:
1164:
1157:
1155:Classification
1151:
1150:
1148:
1147:
1142:
1137:
1132:
1127:
1122:
1117:
1112:
1107:
1102:
1097:
1092:
1087:
1082:
1077:
1072:
1066:
1064:
1060:
1059:
1057:
1056:
1051:
1046:
1044:critical field
1041:
1035:
1033:
1029:
1028:
1026:
1025:
1020:
1015:
1013:Mattis–Bardeen
1010:
1005:
1000:
998:Kohn–Luttinger
995:
990:
985:
979:
977:
973:
972:
965:
964:
957:
950:
942:
934:
933:
909:
900:
893:
875:
868:
849:
848:
846:
843:
825:
819:
815:
812:
809:
783:
777:
773:
770:
767:
764:
761:
733:
713:
709:
705:
702:
699:
674:
671:
667:
644:
641:
637:
633:
630:
608:
605:
601:
576:
554:
550:
525:
501:
490:
489:
475:
472:
465:
461:
457:
451:
446:
443:
440:
436:
417:limiting cases
399:
373:
370:
365:
361:
355:
351:
346:
342:
339:
336:
333:
330:
327:
324:
321:
318:
296:
292:
271:
246:
242:
221:
216:
212:
208:
205:
202:
197:
193:
183:with the form
172:
148:
145:
142:
139:
128:
127:
111:
107:
104:
101:
98:
94:
90:
87:
81:
77:
70:
67:
33:
9:
6:
4:
3:
2:
1425:
1414:
1411:
1410:
1408:
1393:
1390:
1388:
1385:
1383:
1380:
1378:
1375:
1373:
1370:
1368:
1362:
1360:
1357:
1355:
1352:
1350:
1347:
1346:
1344:
1340:
1334:
1331:
1329:
1326:
1324:
1321:
1319:
1316:
1314:
1311:
1309:
1306:
1304:
1301:
1299:
1296:
1295:
1293:
1291:
1287:
1277:
1274:
1272:
1269:
1267:
1264:
1262:
1261:heavy fermion
1259:
1257:
1254:
1252:
1249:
1248:
1246:
1242:
1236:
1233:
1231:
1228:
1225:
1224:
1222:
1218:
1212:
1209:
1207:
1204:
1203:
1201:
1197:
1191:
1190:ferromagnetic
1188:
1184:
1181:
1179:
1176:
1174:
1171:
1170:
1168:
1167:
1165:
1161:
1158:
1156:
1152:
1146:
1143:
1141:
1138:
1136:
1135:supercurrents
1133:
1131:
1128:
1126:
1123:
1121:
1118:
1116:
1113:
1111:
1108:
1106:
1103:
1101:
1098:
1096:
1093:
1091:
1088:
1086:
1083:
1081:
1078:
1076:
1073:
1071:
1068:
1067:
1065:
1061:
1055:
1052:
1050:
1047:
1045:
1042:
1040:
1037:
1036:
1034:
1030:
1024:
1021:
1019:
1016:
1014:
1011:
1009:
1006:
1004:
1001:
999:
996:
994:
991:
989:
986:
984:
981:
980:
978:
974:
970:
963:
958:
956:
951:
949:
944:
943:
940:
923:
919:
913:
904:
896:
890:
886:
879:
871:
865:
861:
854:
850:
842:
839:
823:
817:
813:
810:
807:
799:
781:
775:
771:
768:
765:
762:
759:
751:
747:
731:
711:
707:
703:
700:
697:
688:
672:
669:
665:
642:
639:
635:
631:
628:
606:
603:
599:
590:
552:
548:
539:
538:electron mass
523:
515:
499:
470:
463:
459:
455:
449:
444:
441:
438:
434:
426:
425:
424:
422:
418:
413:
397:
371:
368:
363:
353:
349:
344:
340:
337:
334:
328:
322:
316:
294:
290:
269:
260:
244:
240:
214:
210:
206:
203:
195:
191:
170:
162:
143:
137:
102:
96:
88:
85:
79:
75:
68:
65:
58:
57:
56:
54:
49:
47:
31:
23:
19:
1271:oxypnictides
1206:conventional
1145:superstripes
1090:flux pumping
1085:flux pinning
1080:Cooper pairs
1038:
925:. Retrieved
921:
912:
903:
884:
878:
859:
853:
840:
689:
491:
414:
261:
129:
50:
45:
21:
15:
1130:SU(2) color
1110:Homes's law
1266:iron-based
1125:reentrance
927:2019-04-02
869:0486435032
845:References
690:The ratio
421:BCS theory
1063:Phenomena
922:CRC Press
808:κ
766:κ
732:λ
712:ξ
704:λ
698:κ
670:−
640:−
632:×
604:−
575:Δ
500:ℏ
474:Δ
471:π
456:ℏ
435:ξ
364:−
338:−
329:∝
317:ξ
241:α
207:−
192:α
171:ψ
138:α
97:α
76:ℏ
66:ξ
32:ξ
1407:Category
1298:cryotron
1256:cuprates
1251:covalent
1008:Matthias
976:Theories
724:, where
232:, where
1392:more...
1276:organic
744:is the
587:is the
512:is the
1169:Types
1003:London
891:
866:
796:, and
492:where
130:where
20:, the
1382:TBCCO
1354:BSCCO
1333:wires
1328:SQUID
1387:YBCO
1377:NbTi
1372:NbSn
1359:LBCO
889:ISBN
864:ISBN
811:>
769:<
763:<
163:for
1364:MgB
1313:NMR
1308:MRI
1183:1.5
1023:WHH
1018:RVB
983:BCS
540:),
16:In
1409::
1178:II
920:.
838:.
666:10
636:10
600:10
516:,
309:,
46:xi
1366:2
1173:I
961:e
954:t
947:v
930:.
897:.
872:.
824:2
818:/
814:1
782:2
776:/
772:1
760:0
708:/
701:=
673:8
643:6
629:3
607:4
553:f
549:v
524:m
464:f
460:v
450:=
445:S
442:C
439:B
398:2
372:2
369:1
360:)
354:c
350:T
345:/
341:T
335:1
332:(
326:)
323:T
320:(
295:c
291:T
270:T
245:0
220:)
215:c
211:T
204:T
201:(
196:0
147:)
144:T
141:(
110:|
106:)
103:T
100:(
93:|
89:m
86:2
80:2
69:=
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.