97:
251:
256:
In 1971, Anderson first suggested that this
Hamiltonian can have a non-degenerate ground state that is composed of disordered spin states. Shortly after the high-temperature superconductors were discovered, Anderson and Kivelson et al. proposed a
353:
mechanism. However, a rigorous proof for the existence of a superconducting ground state in either the
Hubbard or the t-J Hamiltonian is not yet known. Further the stability of the RVB ground state has not yet been confirmed.
87:
In 2014, evidence showing that fractional particles can happen in quasi two-dimensional magnetic materials, was found by EPFL scientists lending support for
Anderson's theory of high-temperature superconductivity.
121:
316:
350:
1070:
339:
803:
740:
479:
1193:
421:
778:
1162:
900:
246:{\displaystyle H=-t\sum _{\langle ij\rangle }(c_{i\sigma }^{\dagger }c_{j\sigma }+{\text{h.c.}})+U\sum _{i}n_{i\uparrow }n_{i\downarrow }}
1010:
33:
68:
and are able to superconduct. Anderson observed in his 1987 paper that the origins of superconductivity in doped cuprates was in the
1203:
1098:
819:
1015:
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267:
112:
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81:
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905:
41:
773:
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1088:
726:
793:
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represented a covering of a lattice by nearest neighbor dimers. Each such covering is weighted equally. In a
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1036:
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61:
53:
37:
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457:(2010). "A modern, but way too short history of the theory of superconductivity at a high temperature".
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1113:
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29:
1144:
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49:
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402:
1129:
1103:
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689:
632:
551:
543:
429:
392:
1152:
885:
609:
685:
667:"Instability of the long-range resonating valence bond state in the mean-field approach"
628:
539:
388:
890:
834:
824:
788:
556:
513:
324:
69:
45:
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109:
73:
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925:
915:
870:
865:
101:
65:
57:
96:
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860:
763:
636:
454:
422:"Philip Anderson, legendary theorist whose ideas shaped modern physics, dies"
693:
433:
77:
565:
406:
701:
1078:
547:
514:"Fractional excitations in the square-lattice quantum antiferromagnet"
56:
lattices, electrons from neighboring copper atoms interact to form a
718:
397:
372:
530:
1134:
1108:
463:
95:
1167:
722:
373:"High-temperature superconductivity at 25: Still in suspense"
108:
The physics of Mott insulators is described by the repulsive
487:. École Polytechnique Fédérale de Lausanne. Archived from
349:, and displays a superconducting phase transition per the
311:{\displaystyle |{\text{RVB}}\rangle =\sum _{C}|C\rangle }
586:. École Polytechnique Fédérale de Lausanne. Dec 23, 2014
481:
Variational Study of
Strongly Correlated Electron Models
580:"How electrons split: New evidence of exotic behaviors"
72:
nature of crystalline copper oxide. RVB builds on the
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270:
124:
1122:
1069:
1024:
1000:
979:
943:
934:
843:
812:
756:
333:
310:
245:
610:"Five-fold way to new high Tc superconductors"
603:
601:
734:
345:, the RVB state can be written in terms of a
261:ground state for these materials, written as
36:, and in particular the superconductivity in
8:
305:
281:
151:
142:
60:, which locks them in place. However, with
940:
741:
727:
719:
665:Dombre, Thierry; Gabriel Kotliar (1989).
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104:coupling of nearest-neighbor electrons.
40:compounds. It was first proposed by an
7:
64:, these electrons can act as mobile
52:in 1987. The theory states that in
34:high-temperature superconductivity
14:
48:and Indian theoretical physicist
1194:High-temperature superconductors
298:
272:
238:
225:
198:
156:
22:resonating valence bond theory
1:
420:Cho, Adrian (30 March 2020).
82:strongly correlated materials
608:Baskaran, Ganapathy (2009).
1225:
1071:Technological applications
32:that attempts to describe
813:Characteristic parameters
637:10.1007/s12043-009-0094-8
512:Piazza, B. Dalla (2015).
1204:Condensed matter physics
830:London penetration depth
343:mean field approximation
18:condensed matter physics
1123:List of superconductors
1001:By critical temperature
694:10.1103/PhysRevB.39.855
434:10.1126/science.abb9809
259:resonating valence bond
478:Weber, CĂ©dric (2007).
335:
312:
247:
105:
769:Bean's critical state
347:Gutzwiller projection
336:
313:
248:
99:
80:used in the study of
1199:Correlated electrons
944:By magnetic response
325:
268:
122:
1209:Theoretical physics
896:persistent currents
881:Little–Parks effect
686:1989PhRvB..39..855D
629:2009Prama..73...61B
540:2015NatPh..11...62D
389:2011Natur.475..280M
371:Mann, Adam (2011).
351:Kosterlitz–Thouless
176:
100:The RVB state with
856:Andreev reflection
851:Abrikosov vortices
331:
308:
296:
243:
216:
159:
155:
106:
50:Ganapathy Baskaran
1181:
1180:
1099:quantum computing
1065:
1064:
921:superdiamagnetism
750:Superconductivity
674:Physical Review B
548:10.1038/nphys3172
383:(7356): 280–282.
334:{\displaystyle C}
287:
279:
207:
196:
137:
30:theoretical model
1216:
1130:bilayer graphene
1104:Rutherford cable
1016:room temperature
1011:high temperature
941:
901:proximity effect
876:Josephson effect
820:coherence length
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1007:low temperature
996:
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886:Meissner effect
839:
835:Silsbee current
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774:Ginzburg–Landau
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1084:electromagnets
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1063:
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1025:By composition
1022:
1021:
1019:
1018:
1013:
1008:
1004:
1002:
998:
997:
995:
994:
992:unconventional
989:
983:
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980:By explanation
977:
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936:Classification
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825:critical field
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794:Mattis–Bardeen
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779:Kohn–Luttinger
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771:
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760:
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753:
748:
746:
745:
738:
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680:(1): 855–857.
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518:Nature Physics
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70:Mott insulator
46:P. W. Anderson
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1042:heavy fermion
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1038:
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971:ferromagnetic
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916:supercurrents
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623:(1): 61–112.
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494:on 2018-10-01
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110:Hubbard model
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63:
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31:
27:
23:
19:
1052:oxypnictides
987:conventional
926:superstripes
871:flux pumping
866:flux pinning
861:Cooper pairs
798:
705:. Retrieved
677:
673:
660:
648:. Retrieved
620:
616:
588:. Retrieved
583:
574:
524:(1): 62–68.
521:
517:
507:
496:. Retrieved
489:the original
480:
473:
449:
437:. Retrieved
425:
415:
380:
376:
366:
320:
258:
255:
107:
102:valence bond
86:
66:Cooper pairs
58:valence bond
54:copper oxide
25:
21:
15:
911:SU(2) color
891:Homes's law
455:Zaanen, Jan
113:Hamiltonian
92:Description
1188:Categories
1047:iron-based
906:reentrance
531:1501.01767
498:2012-04-08
358:References
78:t-J models
44:physicist
844:Phenomena
464:1012.5461
306:⟩
289:∑
282:⟩
239:↓
226:↑
209:∑
186:σ
173:†
168:σ
152:⟩
143:⟨
139:∑
132:−
1079:cryotron
1037:cuprates
1032:covalent
789:Matthias
757:Theories
645:73670216
584:Nanowerk
566:25729400
428:. AAAS.
407:21776057
42:American
1173:more...
1057:organic
707:8 April
702:9947250
682:Bibcode
650:8 April
625:Bibcode
617:Pramana
590:Dec 23,
557:4340518
536:Bibcode
426:Science
385:Bibcode
74:Hubbard
38:cuprate
28:) is a
950:Types
784:London
700:
643:
564:
554:
439:25 May
405:
377:Nature
321:where
62:doping
20:, the
1163:TBCCO
1135:BSCCO
1114:wires
1109:SQUID
670:(PDF)
641:S2CID
613:(PDF)
526:arXiv
492:(PDF)
485:(PDF)
459:arXiv
1168:YBCO
1158:NbTi
1153:NbSn
1140:LBCO
709:2012
698:PMID
652:2012
592:2014
562:PMID
441:2020
403:PMID
195:h.c.
76:and
1145:MgB
1094:NMR
1089:MRI
964:1.5
804:WHH
799:RVB
764:BCS
690:doi
633:doi
552:PMC
544:doi
430:doi
393:doi
381:475
278:RVB
26:RVB
16:In
1190::
959:II
696:.
688:.
678:39
676:.
672:.
639:.
631:.
621:73
619:.
615:.
600:^
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550:.
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534:.
522:11
520:.
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424:.
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391:.
379:.
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115::
84:.
1147:2
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735:t
728:v
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684::
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635::
627::
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387::
329:C
303:C
299:|
293:C
285:=
273:|
236:i
232:n
223:i
219:n
213:i
205:U
202:+
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191:+
183:j
179:c
165:i
161:c
157:(
149:j
146:i
135:t
129:=
126:H
24:(
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