308:
149:
Since Kohn–Luttinger mechanism does not require any additional interactions beyond
Coulomb interactions, it can lead to superconductivity in any electronic system. However, the estimated critical temperature,
124:
372:
339:
177:
207:
214:
1000:
144:
382:
and variation of parameters may enhance the effect. Indeed, it is proposed that Kohn–Luttinger mechanism is responsible for superconductivity in rhombohedral
733:
670:
456:
Maiti, S.; Chubukov, A. V. (November 2014). "Superconductivity from repulsive interaction". In
Bennemann, Karl-Heinz; Ketterson, John B. (eds.).
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473:
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1028:
749:
945:
663:
728:
698:
1069:
921:
865:
840:
30:
971:
900:
532:"Unconventional Superconductivity in Systems with Annular Fermi Surfaces: Application to Rhombohedral Trilayer Graphene"
916:
835:
703:
1128:
1023:
1018:
656:
723:
597:"Superconductivity from repulsive interactions in rhombohedral trilayer graphene: A Kohn-Luttinger-like mechanism"
976:
20:
759:
63:
54:
38:
810:
1102:
961:
893:
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888:
883:
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618:
553:
428:
42:
465:
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634:
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348:
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315:
153:
182:
16:
Superconductivity mechanism based on attractive forces generated by screened
Coulomb interaction
850:
679:
569:
469:
444:
417:"Kohn-Luttinger effect and the instability of a two-dimensional repulsive Fermi liquid at T=0"
53:
are formed due to electron–phonon interaction, Kohn–Luttinger mechanism is based on fact that
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805:
780:
713:
626:
561:
512:
461:
436:
57:
1082:
129:
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and thus is extremely small. For example, for metals the critical temperature is given by
595:
Cea, Tommaso; Pantaleón, Pierre A.; Phong, Võ Tiến; Guinea, Francisco (1 February 2022).
622:
557:
432:
820:
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500:
396:
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638:
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379:
416:
855:
845:
800:
795:
565:
375:
303:{\displaystyle {\frac {k_{\rm {B}}T_{\rm {c}}}{E_{\rm {F}}}}=\exp(-(2\ell )^{4}),}
981:
790:
630:
50:
34:
530:
Ghazaryan, Areg; Holder, Tobias; Serbyn, Maksym; Berg, Erez (9 December 2021).
516:
693:
46:
440:
573:
448:
1008:
383:
397:"Contribution to the theory of superfluidity in an imperfect Fermi gas"
648:
613:
548:
1064:
1038:
1097:
126:
and can create Cooper instability for non-zero angular momentum
652:
378:. However, Kohn and Luttinger conjectured that nonspherical
395:
Gor'kov, L. P.; Melik-Barkhudarov, T. K. (November 1961).
179:, for Kohn–Luttinger superconductor is exponential in
351:
318:
217:
185:
156:
132:
66:
1052:
999:
954:
930:
909:
873:
864:
773:
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499:Kohn, Walter; Luttinger, Joaquin M. (1 July 1955).
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138:
118:
664:
8:
427:(2). American Physical Society: 1097–1104.
870:
671:
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511:(12). American Physical Society: 524–526.
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542:(24). American Physical Society: 247001.
466:10.1093/acprof:oso/9780198719267.003.0004
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119:{\displaystyle \cos(2k_{F}r+\phi )/r^{3}}
110:
101:
83:
65:
607:(7). American Physical Society: 075432.
488:
386:, which has an annular Fermi surface.
501:"New mechanism for superconductivity"
7:
494:
492:
415:Chubukov, Andrey V. (15 July 1993).
358:
325:
252:
239:
227:
163:
14:
31:unconventional superconductivity
27:Kohn–Luttinger superconductivity
29:is a theoretical mechanism for
566:10.1103/PhysRevLett.127.247001
294:
285:
275:
269:
98:
73:
1:
631:10.1103/PhysRevB.105.075432
460:. Oxford. pp. 89–158.
458:Novel Superfluids: Volume 2
367:{\displaystyle E_{\rm {F}}}
334:{\displaystyle k_{\rm {B}}}
172:{\displaystyle T_{\rm {c}}}
1145:
1001:Technological applications
517:10.1103/PhysRevLett.15.524
202:{\displaystyle -\ell ^{4}}
18:
743:Characteristic parameters
1124:Condensed matter physics
760:London penetration depth
441:10.1103/PhysRevB.48.1097
39:Joaquin Mazdak Luttinger
19:Not to be confused with
1053:List of superconductors
931:By critical temperature
536:Physical Review Letters
505:Physical Review Letters
368:
335:
304:
203:
173:
140:
120:
699:Bean's critical state
369:
336:
305:
204:
174:
141:
139:{\displaystyle \ell }
121:
874:By magnetic response
349:
316:
215:
183:
154:
130:
64:
43:Friedel oscillations
21:Luttinger–Kohn model
826:persistent currents
811:Little–Parks effect
623:2022PhRvB.105g5432C
558:2021PhRvL.127x7001G
433:1993PhRvB..48.1097C
404:Soviet Physics JETP
58:Coulomb interaction
786:Andreev reflection
781:Abrikosov vortices
364:
343:Boltzmann constant
331:
300:
199:
169:
136:
116:
1129:Superconductivity
1111:
1110:
1029:quantum computing
995:
994:
851:superdiamagnetism
680:Superconductivity
601:Physical Review B
421:Physical Review B
258:
45:. In contrast to
1136:
1060:bilayer graphene
1034:Rutherford cable
946:room temperature
941:high temperature
871:
831:proximity effect
806:Josephson effect
750:coherence length
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937:low temperature
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816:Meissner effect
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765:Silsbee current
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704:Ginzburg–Landau
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410:(5): 1018–1022.
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390:Further reading
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1016:
1014:electromagnets
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1005:
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996:
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989:
984:
979:
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955:By composition
952:
951:
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928:
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922:unconventional
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911:
910:By explanation
907:
906:
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866:Classification
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755:critical field
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724:Mattis–Bardeen
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709:Kohn–Luttinger
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475:978-0198719267
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380:Fermi surfaces
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60:oscillates as
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978:
975:
973:
972:heavy fermion
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944:
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939:
936:
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901:ferromagnetic
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846:supercurrents
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36:
32:
28:
22:
982:oxypnictides
917:conventional
856:superstripes
801:flux pumping
796:flux pinning
791:Cooper pairs
708:
604:
600:
590:
539:
535:
525:
508:
504:
457:
454:
424:
420:
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407:
403:
393:
376:Fermi energy
311:
211:
148:
51:Cooper pairs
33:proposed by
26:
25:
841:SU(2) color
821:Homes's law
49:, in which
35:Walter Kohn
1118:Categories
977:iron-based
836:reentrance
614:2109.04345
549:2109.00011
483:References
47:BCS theory
774:Phenomena
639:237452263
582:237372021
282:ℓ
273:−
267:
191:ℓ
187:−
134:ℓ
96:ϕ
71:
41:based on
1009:cryotron
967:cuprates
962:covalent
719:Matthias
687:Theories
574:34951779
449:10007968
384:graphene
55:screened
1103:more...
987:organic
619:Bibcode
554:Bibcode
429:Bibcode
880:Types
714:London
637:
580:
572:
472:
447:
312:where
1093:TBCCO
1065:BSCCO
1044:wires
1039:SQUID
635:S2CID
609:arXiv
578:S2CID
544:arXiv
400:(PDF)
1098:YBCO
1088:NbTi
1083:NbSn
1070:LBCO
570:PMID
470:ISBN
445:PMID
345:and
37:and
1075:MgB
1024:NMR
1019:MRI
894:1.5
734:WHH
729:RVB
694:BCS
627:doi
605:105
562:doi
540:127
513:doi
462:doi
437:doi
374:is
341:is
264:exp
68:cos
1120::
889:II
633:.
625:.
617:.
603:.
599:.
576:.
568:.
560:.
552:.
538:.
534:.
509:15
507:.
503:.
491:^
468:.
443:.
435:.
425:48
423:.
419:.
408:13
406:.
402:.
146:.
1077:2
884:I
672:e
665:t
658:v
641:.
629::
621::
611::
584:.
564::
556::
546::
519:.
515::
478:.
464::
451:.
439::
431::
359:F
354:E
326:B
321:k
298:,
295:)
290:4
286:)
279:2
276:(
270:(
261:=
253:F
248:E
240:c
235:T
228:B
223:k
195:4
164:c
159:T
112:3
108:r
103:/
99:)
93:+
90:r
85:F
81:k
77:2
74:(
23:.
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