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T. Dahm
V. Hinkov
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V. B. Zabolotnyy
J. Fink
B. Buchner
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Strength of the spin-fluctuation-mediated pairing interaction in a high-temperature superconductor
2009-03
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[(.)-326(W)60(e)-326(sho)13(w)]TJ
-205.369 -10.46 Td
[(that)-586(a)-587(self)5(-c)9(onsis)4(t)4(ent)-586(description)-586(of)-587(bo)1(th)-587(spectr)18(a)-586(can)-586(be)]TJ
T*
[(obtained)-450(b)9(y)-451(adjus)4(ting)-450(a)-451(single)-450(par)18(amet)4(er)62(,)-451(the)-450(spin\226f)5(ermion)]TJ
T*
[(c)9(oupling)-458(c)9(ons)4(tant.)-458(In)-458(par)-9(ticular)62(,)-458(w)13(e)-458(\002nd)-458(a)-458(quantitativ)16(e)-458(link)]TJ
T*
[(bet)9(w)13(een)-517(t)9(w)13(o)-518(spectr)18(al)-517(f)5(eatur)8(es)-517(that)-518(ha)12(v)16(e)-517(been)-517(es)4(tablished)]TJ
T*
[(as)-726(univ)16(er)5(sal)-726(f)5(or)-726(the)-726(cupr)18(at)4(es,)-726(namely)-726(high-energy)-726(spin)]TJ
0 -10.46 TD
[(e)7(x)25(citations)]TJ
/T1_2 6.022 Tf
43.593 3.363 Td
(2\2267)Tj
/T1_2 9.265 Tf
14.146 -3.363 Td
[(and)-467(`kink)9(s')-468(in)-467(the)-468(f)5(ermionic)-467(band)-468(disper)5(sions)]TJ
-57.739 -10.461 Td
[(along)-367(the)-367(nodal)-367(dir)8(ection)]TJ
/T1_2 6.022 Tf
102.564 3.363 Td
(8\22612)Tj
/T1_2 9.265 Tf
12.554 -3.363 Td
[(.)-367(T)18(he)-367(super)8(c)9(onducting)-367(tr)18(ansition)]TJ
-115.118 -10.461 Td
[(t)4(emper)18(atur)8(e)-466(c)9(omput)4(ed)-465(with)-466(this)-466(c)9(oupling)-466(c)9(ons)4(tant)-465(e)7(x)25(c)9(eeds)]TJ
0 -10.461 TD
[(150)-167(K,)-490(demons)4(tr)18(ating)-489(that)-490(spin)-489(\003uctuations)-490(ha)12(v)16(e)-489(suf)-12(\002cient)]TJ
0 -10.46 TD
[(s)4(tr)8(eng)-12(th)-166(t)4(o)-166(mediat)4(e)-166(high-t)4(emper)18(atur)8(e)-166(super)8(c)9(onductivit)9(y)40(.)]TJ
/T1_4 9.295 Tf
11.339 -10.461 Td
[(Looking)-677(back)-676(at)-677(conventional)-676(superconductors,)-677(the)-677(most)]TJ
-11.339 -10.461 Td
[(convincing)-577(demonstration)-576(of)-577(the)-576(electron\025phonon)-577(interaction)]TJ
0 -10.461 TD
[(as)-422(the)-421(source)-422(of)-422(electron)-421(pairing)-422(was)-422(based)-421(on)-422(the)-422(quantitative)]TJ
T*
[(correspondence)-619(between)-618(features)-619(in)-618(the)-619(electronic)-619(tunnelling)]TJ
0 -10.46 TD
[(conductance)-533(and)-534(the)-533(phonon)-533(spectrum)-534(measured)-533(by)-534(inelastic)]TJ
0 -10.461 TD
[(neutron)-293(scattering)-293(\(INS;)-294(for)-293(reviews,)-293(see)-293(the)-293(articles)-293(by)-294(Scalapino,)]TJ
T*
[(McMillan)-470(and)-469(Rowell)-470(in)-469(ref.)-470(13\).)-470(The)-469(rigorous)-470(comparison)-469(of)]TJ
T*
[(fermionic)-223(and)-223(bosonic)-224(spectra)-223(was)-223(made)-223(possible)-223(by)-223(the)-224(Eliashberg)]TJ
0 -10.46 TD
[(theory,)-382(which)-381(enabled)-382(the)-381(tunnelling)-382(conductance)-381(to)-382(be)-382(derived)]TJ
0 -10.461 TD
[(from)-413(the)-414(experimentally)-413(determined)-413(phonon)-413(spectrum.)-414(Various)]TJ
T*
[(difficulties)-535(have)-535(impeded)-535(a)-534(similar)-535(approach)-535(to)-535(the)-535(origin)-535(of)]TJ
T*
[(high-temperature)-195(superconductivity.)-194(First,)-195(the)]TJ
/T1_5 9.295 Tf
173.398 0 Td
(d)Tj
/T1_4 9.295 Tf
5.302 0 Td
[(-wave)-195(pairing)-194(state)]TJ
-178.7 -10.46 Td
[(found)-245(in)-245(these)-245(materials)-245(implies)-245(a)-245(strongly)-245(momentum-dependent)]TJ
T*
[(pairing)-575(interaction.)-574(A)-574(more)-575(elaborate)-575(analysis)-574(based)-575(on)-575(data)]TJ
T*
[(from)-402(momentum-resolved)-402(experimental)-402(techniques)-402(such)-402(as)-403(INS)]TJ
T*
[(and)-380(angle-resolved)-380(photoemission)-380(spectroscopy)-380(\(ARPES\))-380(is)-381(thus)]TJ
T*
[(required.)-359(These)-358(methods,)-359(in)-359(turn,)-358(impose)-359(conflicting)-359(constraints)]TJ
0 -10.46 TD
[(on)-288(the)-288(materials.)-287(To)-288(avoid)-288(surface-related)-288(problems,)-288(most)-288(ARPES)]TJ
0 -10.461 TD
[(experiments)-309(have)-309(been)-309(carried)-308(out)-309(on)-309(the)-309(electrically)-309(neutral)-309(BiO)]TJ
T*
[(cleavage)-327(plane)-327(in)-326(Bi)]TJ
/T1_4 6.042 Tf
75.479 -1.394 Td
(2)Tj
/T1_4 9.295 Tf
3.399 1.394 Td
(Sr)Tj
/T1_4 6.042 Tf
7.835 -1.394 Td
(2)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(Ca)Tj
/T1_5 6.042 Tf
10.179 -1.394 Td
(n)Tj
/T1_6 6.042 Tf
(\000)Tj
/T1_4 6.042 Tf
(1)Tj
/T1_4 9.295 Tf
11.264 1.394 Td
(Cu)Tj
/T1_5 6.042 Tf
11.145 -1.394 Td
(n)Tj
/T1_4 9.295 Tf
3.652 1.394 Td
(O)Tj
/T1_4 6.042 Tf
6.925 -1.394 Td
(2\()Tj
/T1_5 6.042 Tf
(n)Tj
/T1_6 6.042 Tf
(C)Tj
/T1_4 6.042 Tf
(2\))Tj
/T1_6 6.042 Tf
(C)Tj
/T1_7 6.042 Tf
(\016)Tj
/T1_4 9.295 Tf
29.225 1.394 Td
[(\(ref.)-327(8\).)-327(However,)-327(as)-326(a)]TJ
-162.501 -10.461 Td
[(consequence)-292(of)-292(electronic)-292(inhomogeneity,)-292(this)-292(family)-292(of)-293(materials)]TJ
0 -10.46 TD
[(exhibits)-360(broad)-360(INS)-360(spectra)-361(that)-360(greatly)-360(complicate)-360(a)-361(quantitative)]TJ
0 -10.461 TD
[(comparison)-616(with)-617(ARPES)-616(data)]TJ
/T1_4 6.042 Tf
120.574 3.374 Td
(7)Tj
/T1_4 9.295 Tf
3.398 -3.374 Td
[(.)-616(Conversely,)-617(compounds)-616(with)]TJ
-123.972 -10.461 Td
[(sharp)-489(spin)-488(excitations,)-489(including)-489(YBa)]TJ
/T1_4 6.042 Tf
147.355 -1.394 Td
(2)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(Cu)Tj
/T1_4 6.042 Tf
11.145 -1.394 Td
(3)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(O)Tj
/T1_4 6.042 Tf
6.925 -1.394 Td
(6)Tj
/T1_6 6.042 Tf
(C)Tj
/T1_5 6.042 Tf
(x)Tj
/T1_4 9.295 Tf
10.884 1.394 Td
[(,)-489(have)-488(generated)]TJ
-183.105 -10.461 Td
[(problematic)-514(ARPES)-514(spectra)-514(due)-514(to)-514(polar)-514(surfaces)-514(with)-515(charge)]TJ
0 -10.46 TD
[(distributions)-569(different)-568(from)-569(the)-568(bulk)]TJ
/T1_4 6.042 Tf
147.99 3.374 Td
(8)Tj
/T1_4 9.295 Tf
3.398 -3.374 Td
[(.)-569(Finally,)-568(an)-569(analytically)]TJ
-151.388 -10.461 Td
[(rigorous)-764(treatment)-763(of)-764(the)-763(spin-fluctuation-mediated)-764(pairing)]TJ
ET
q
1 0 0 1 39.6849976 87.3209991 cm
0.498 w
0 0 m
508.33 0 l
S
Q
BT
/T1_8 5.978 Tf
39.685 77.329 Td
(1)Tj
/T1_8 7.97 Tf
2.62 -2.893 Td
(Institut)Tj
1 0 0 1 -0 0 Tm
65.984 74.436 Td
[(e)-226(f)9(or)-226(T)18(heor)18(etical)-226(Ph)9(y)9(sics,)-226(Univ)14(er)9(sit)9(y)-226(of)-226(T\374bing)10(en,)-226(D-)72(7)7(20)25(7)40(6)-226(T\374bing)10(en,)-226(German)9(y,)]TJ
/T1_8 5.978 Tf
262.057 2.893 Td
(2)Tj
/T1_8 7.97 Tf
3.696 -2.893 Td
[(Max)36(-Planck)27(-Institut)4(e)-226(f)9(or)-226(Solid)-226(Stat)4(e)-226(R)18(esear)18(ch,)-226(D-)72(7)19(056)9(9)-226(Stutt)4(g)5(ar)-9(t,)]TJ
-292.052 -10.461 Td
[(German)9(y,)]TJ
/T1_8 5.978 Tf
34.08 2.893 Td
(3)Tj
/T1_8 7.97 Tf
3.625 -2.893 Td
[(IFW)-226(Dr)18(esden,)-226(PO)-226(Bo)18(x)-226(2)13(7)19(0)4(116,)-226(D-0)4(117)-9(1)-226(Dr)18(esden,)-226(German)9(y,)]TJ
/T1_8 5.978 Tf
193.641 2.893 Td
(4)Tj
/T1_8 7.97 Tf
4.043 -2.893 Td
[(BES)9(S)27(Y)108(,)-226(D-)44(12)36(48)2(9)-226(Berlin,)-226(German)9(y,)]TJ
/T1_8 5.978 Tf
111.008 2.893 Td
(5)Tj
/T1_8 7.97 Tf
3.69 -2.893 Td
[(Depar)-9(tment)-226(of)-226(Ph)9(y)9(sics,)-226(Univ)14(er)9(sit)9(y)-226(of)-226(Calif)9(ornia,)]TJ
-350.087 -10.461 Td
[(Santa)-226(Barbar)18(a,)-226(Calif)9(ornia)-226(9)9(3106-9)9(530)18(,)-226(US)4(A,)]TJ
/T1_8 5.978 Tf
146.857 2.893 Td
(6)Tj
/T1_8 7.97 Tf
3.894 -2.893 Td
[(Institut)4(e)-226(f)9(or)-226(T)18(heor)18(etical)-226(Ph)9(y)9(sics,)-226(Univ)14(er)9(sit)9(y)-226(of)-226(W\374rzbur)7(g,)-226(D-9)26(7)19(0)25(7)86(4)-226(W\374rzbur)7(g,)-226(German)9(y.)]TJ
-150.751 -10.46 Td
[(*e-mail:)-167(b)9(.k)27(eimer@fkf)27(.mpg.de.)]TJ
/T1_4 9.295 Tf
260.48 529.986 Td
(interaction)Tj
1 0 0 1 -0 0 Tm
344.54 573.04 Td
[(is)-375(difficult,)-376(because)-375(small)-375(expansion)-375(parameters)-376(used)]TJ
-44.375 -10.461 Td
[(in)-411(the)-410(traditional)-411(Eliashberg)-410(theory)-411(\(such)-410(as)-411(the)-410(ratio)-411(of)-411(Debye)]TJ
0 -10.461 TD
[(and)-433(Fermi)-433(energies\))-432(are)-433(missing)]TJ
/T1_4 6.042 Tf
125.893 3.374 Td
(14)Tj
/T1_4 9.295 Tf
6.298 -3.374 Td
[(.)-433(Because)-432(of)-433(these)-433(difficulties,)]TJ
-132.191 -10.461 Td
[(widely)-465(different)-466(values)-465(have)-466(been)-465(quoted)-466(for)-465(the)-466(spin\025fermion)]TJ
0 -10.46 TD
[(coupling)-452(constant)]TJ
/T1_4 6.042 Tf
68.871 3.374 Td
(1)Tj
/T1_4 9.295 Tf
3.398 -3.374 Td
(.)Tj
-60.93 -10.461 Td
[(The)-531(analysis)-532(of)-531(YBa)]TJ
/T1_4 6.042 Tf
80.633 -1.394 Td
(2)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(Cu)Tj
/T1_4 6.042 Tf
11.145 -1.394 Td
(3)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(O)Tj
/T1_4 6.042 Tf
6.925 -1.394 Td
(6)Tj
/T1_7 6.042 Tf
(:)Tj
/T1_4 6.042 Tf
(6)Tj
/T1_4 9.295 Tf
12.898 1.394 Td
[(data)-531(reported)-532(here)-531(was)-531(made)]TJ
-129.736 -10.461 Td
[(possible)-166(by)-166(recent)-166(advances)-165(on)-166(several)-166(fronts.)-166(First,)-166(INS)-166(experiments)]TJ
0 -10.461 TD
[(on)-215(this)-215(material)-215(now)-215(consistently)-215(yield)-215(high-quality)-216(spin-excitation)]TJ
0 -10.46 TD
[(spectra)-206(over)-206(a)-205(wide)-206(energy)-206(and)-206(momentum)-205(range)]TJ
/T1_4 6.042 Tf
181.779 3.374 Td
(2,4)Tj
/T1_4 9.295 Tf
7.748 -3.374 Td
[(.)-206(Second,)-206(recent)]TJ
-189.527 -10.461 Td
[(ARPES)-320(experiments)-319(on)-320(YBa)]TJ
/T1_4 6.042 Tf
106.13 -1.394 Td
(2)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(Cu)Tj
/T1_4 6.042 Tf
11.145 -1.394 Td
(3)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(O)Tj
/T1_4 6.042 Tf
6.925 -1.394 Td
(6)Tj
/T1_6 6.042 Tf
(C)Tj
/T1_5 6.042 Tf
(x)Tj
/T1_4 9.295 Tf
13.855 1.394 Td
[(\(refs)-320(11,12\))-320(have)-319(overcome)]TJ
-144.851 -10.461 Td
[(problems)-293(related)-293(to)-293(polar)-293(surfaces)-293(and)-293(enabled)-293(the)-293(observation)-294(of)]TJ
0 -10.461 TD
[(superconducting)-372(gaps)-373(and)-372(band)-373(renormalization)-372(effects)-373(\(`kinks'\))]TJ
T*
[(akin)-362(to)-362(those)-362(previously)-362(reported)-363(in)-362(La-)-362(and)-362(Bi-based)-362(cuprates)]TJ
/T1_4 6.042 Tf
242.221 3.375 Td
(8)Tj
/T1_4 9.295 Tf
3.398 -3.375 Td
(.)Tj
-245.619 -10.46 Td
[(Third,)-253(calculations)-252(based)-253(on)-253(the)-252(two-dimensional)-253(Hubbard)-253(model)]TJ
T*
[(have)-241(demonstrated)-241(Fermi)-241(surfaces,)-241(single-particle)-241(spectral)-242(weights,)]TJ
T*
[(antiferromagnetic)-264(spin)-263(correlations)-264(and)]TJ
/T1_5 9.295 Tf
150.817 0 Td
(d)Tj
/T1_5 6.042 Tf
4.62 -1.394 Td
(x)Tj
/T1_4 4.183 Tf
3.235 1.746 Td
(2)Tj
/T1_6 6.042 Tf
2.506 -1.746 Td
(\000)Tj
/T1_5 6.042 Tf
(y)Tj
/T1_4 4.183 Tf
7.809 1.746 Td
(2)Tj
/T1_4 9.295 Tf
5.454 -0.352 Td
[(pairing)-264(correlations)]TJ
-174.441 -10.461 Td
[(in)-545(qualitative)-545(agreement)-546(with)-545(experimental)-545(measurements)]TJ
/T1_4 6.042 Tf
230.5 3.375 Td
(15\02517)Tj
/T1_4 9.295 Tf
15.119 -3.375 Td
(.)Tj
-245.619 -10.46 Td
[(Numerically)-592(accurate)-591(solutions)-592(of)-591(this)-592(model)-591(can)-592(thus)-592(serve)]TJ
T*
[(as)-480(a)-480(valuable)-480(guideline)-480(for)-480(a)-480(treatment)-480(of)-480(the)-480(spin-fluctuation)]TJ
T*
[(interaction)-165(in)-164(the)-165(cuprates.)-164(This)-165(is)-164(the)-165(approach)-164(we)-165(take)-164(here.)]TJ
11.339 -10.461 Td
[(Recent)-772(quantum)-771(Monte)-772(Carlo)-772(calculations)-771(of)-772(the)-772(two-)]TJ
-11.339 -10.461 Td
[(dimensional)-805(Hubbard)-804(model)-805(within)-804(the)-805(dynamical)-805(cluster)]TJ
0 -10.46 TD
(approximation)Tj
/T1_4 6.042 Tf
55.855 3.374 Td
(17)Tj
/T1_4 9.295 Tf
10.716 -3.374 Td
[(for)-475(a)-476(realistic)-475(value)-475(of)-475(the)-476(bare)]TJ
/T1_5 9.295 Tf
129.639 0 Td
(U)Tj
/T1_7 9.295 Tf
7.961 0 Td
(=)Tj
/T1_5 9.295 Tf
(t)Tj
/T1_6 9.295 Tf
10.863 0 Td
(D)Tj
/T1_4 9.295 Tf
9.901 0 Td
[(8)-475(and)]TJ
-224.935 -10.461 Td
[(different)-564(doping)-563(levels)-564(ranging)-564(from)-563(underdoping)-564(to)-564(optimal)]TJ
0 -10.461 TD
[(doping)-567(have)-567(shown)-568(that)-567(the)-567(effective)-567(pairing)-567(interaction)-568(can)]TJ
T*
[(be)-536(parameterized)-537(in)-536(terms)-537(of)-536(the)-537(numerically)-536(computed)-537(spin)]TJ
0 -10.46 TD
(susceptibility)Tj
/T1_7 9.295 Tf
50.698 0 Td
(\037)Tj
/T1_4 9.295 Tf
6.396 0 Td
(\()Tj
/T1_9 9.295 Tf
(Q)Tj
/T1_7 9.295 Tf
(;)Tj
/T1_10 8.966 Tf
13.924 0 Td
(\n)Tj
/T1_4 9.295 Tf
7.5 0 Td
[(\))-209(in)-210(the)-209(form)]TJ
/T1_5 9.295 Tf
-6.732 -20.922 Td
(V)Tj
/T1_4 6.042 Tf
6.088 -1.394 Td
(eff)Tj
/T1_4 9.295 Tf
6.6 1.394 Td
(\()Tj
/T1_9 9.295 Tf
(Q)Tj
/T1_7 9.295 Tf
(;)Tj
/T1_10 8.966 Tf
13.995 0 Td
(\n)Tj
/T1_4 9.295 Tf
7.5 0 Td
(\))Tj
/T1_6 9.295 Tf
4.988 0 Td
(D)Tj
/T1_4 9.295 Tf
9.995 6.516 Td
(3)Tj
ET
q
1 0 0 1 421.1170044 282.4620056 cm
0.428 w
0 0 m
4.462 0 l
S
Q
BT
/T1_4 9.295 Tf
421.117 273.539 Td
(2)Tj
/T1_5 9.295 Tf
9.917 8.588 Td
(\t)Tj
-2.122 -1.989 Td
(U)Tj
/T1_4 6.042 Tf
7.961 3.839 Td
(2)Tj
/T1_7 9.295 Tf
4.951 -3.839 Td
(\037)Tj
/T1_4 9.295 Tf
6.395 0 Td
(\()Tj
/T1_9 9.295 Tf
(Q)Tj
/T1_7 9.295 Tf
(;)Tj
/T1_10 8.966 Tf
13.994 0 Td
(\n)Tj
/T1_4 9.295 Tf
7.5 0 Td
(\))Tj
/T1_7 9.295 Tf
(;)Tj
/T1_4 9.295 Tf
66.962 0 Td
(\(1\))Tj
-236.51 -20.921 Td
(where)Tj
/T1_5 9.295 Tf
30.135 1.988 Td
(\t)Tj
-2.121 -1.988 Td
(U)Tj
/T1_4 9.295 Tf
13.499 0 Td
(is)Tj
1 0 0 1 -0 0 Tm
352.99 259.217 Td
[(a)-596(renormalized)-595(coupling)-596(strength,)-596(and)-596(that)-595(this)]TJ
-52.825 -10.461 Td
[(interaction)-437(generates)-436(reasonable)-437(values)-436(for)-437(the)-437(superconducting)]TJ
0 -10.461 TD
[(transition)-534(temperature)]TJ
/T1_5 9.295 Tf
92.261 0 Td
(T)Tj
/T1_4 6.042 Tf
5.614 -1.394 Td
(c)Tj
/T1_4 9.295 Tf
3.018 1.394 Td
[(.)-534(Here,)-535(we)-534(follow)-534(a)-535(similar)-534(strategy,)]TJ
-100.893 -10.461 Td
[(but)-372(use)]TJ
/T1_7 9.295 Tf
31.824 0 Td
(\037)Tj
/T1_4 9.295 Tf
6.395 0 Td
(\()Tj
/T1_9 9.295 Tf
(Q)Tj
/T1_7 9.295 Tf
(;)Tj
/T1_10 8.966 Tf
14.314 0 Td
(\n)Tj
/T1_4 9.295 Tf
7.5 0 Td
[(\))-372(determined)-373(by)-372(INS,)-372(on)-373(high-quality)-372(detwinned)]TJ
-60.033 -10.461 Td
(YBa)Tj
/T1_4 6.042 Tf
15.031 -1.394 Td
(2)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(Cu)Tj
/T1_4 6.042 Tf
11.145 -1.394 Td
(3)Tj
/T1_4 9.295 Tf
3.398 1.394 Td
(O)Tj
/T1_4 6.042 Tf
6.925 -1.394 Td
(6)Tj
/T1_7 6.042 Tf
(:)Tj
/T1_4 6.042 Tf
(6)Tj
/T1_4 9.295 Tf
9.807 1.394 Td
[(single)-199(crystals)-199(described)-198(previously)]TJ
/T1_4 6.042 Tf
128.221 3.375 Td
(4)Tj
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T*
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T*
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T*
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T*
[(scattering)-422(near)-423(the)-422(nodal)-423(points,)-422(where)-423(complications)-422(from)-422(the)]TJ
T*
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T*
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T*
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(18)Tj
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[(numerical)-576(results)-576(below)-575(shows)-576(that)-576(the)-576(scattering)-575(probability)]TJ
T*
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T*
[(energy-momentum)-258(conservation)-258(enables)-258(interband)-258(scattering)-258(into)]TJ
T*
[(opposite)-516(nodal)-516(regions)-516(\(green)-516(arrow)-516(in)-517(Fig.)-230(2\).)-516(The)-516(INS)-516(data)]TJ
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[(\(green)-511(line)-510(in)-511(Fig.)-230(1\))-511(reveal)-510(that)-511(this)-510(condition)-511(is)-510(satisfied)-511(by)]TJ
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T*
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T*
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123.534 1.989 Td
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(U)Tj
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[(assess)-517(the)-518(influence)-517(of)-518(the)-517(spin-fluctuation)-518(interaction)-517(on)-518(the)]TJ
T*
[(spectral)-235(function)-234(determined)-235(by)-235(ARPES)-234(\(see)-235(the)-235(Methods)-234(section\).)]TJ
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q
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307.741 492.867 Td
(F)Tj
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[(igur)8(e)-209(2)]TJ
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T*
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T*
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T*
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T*
[(band)-302(in)-302(cut)-302(3)-302(can)-302(be)-302(understood)-302(as)-302(a)-302(consequence)-302(of)-302(coupling)-302(to)]TJ
T*
[(the)-354(magnetic)-354(resonance)-354(at)-354(the)-354(neck)-354(of)-354(the)-354(hour-glass)-355(dispersion.)]TJ
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60.033 3.374 Td
(1,19)Tj
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10.649 -3.374 Td
[(,)-302(the)-303(resonance)-302(wave)-302(vector)-302(\(red)-303(lines)-302(in)-302(Figs)-230(1)]TJ
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[(and)-423(2\))-423(connects)-424(antinodal)-423(regions)-424(in)-423(bonding)-424(and)-423(antibonding)]TJ
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[(bands,)-204(and)-203(the)-204(resonance)-203(and)-204(gap)-203(energies)-204(add)-203(up)-204(to)-203(the)-204(dip)-203(energy)]TJ
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T*
(\030)Tj
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[(65)-167(meV.)-368(The)-368(only)-367(noticeable)-368(difference)-368(between)-368(the)-368(numerical)]TJ
T*
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6.298 -3.374 Td
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[(data,)-421(we)-422(proceed)-421(to)-422(a)-421(calculation)-422(of)-421(the)-422(critical)-421(temperature)-422(of)]TJ
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15.715 0 Td
(d)Tj
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[(spin)-545(fluctuations.)-544(A)-545(recent)-544(quantum)-545(Monte)-545(Carlo)-545(calculation)]TJ
0 -10.461 TD
[(of)-506(the)-507(two-dimensional)-506(Hubbard)-506(model)-507(within)-506(the)-506(dynamical)]TJ
T*
[(cluster)-352(approximation)-353(has)-352(shown)-352(that)-352(a)-353(good)-352(estimate)-352(of)]TJ
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[(70)-167(K\),)]TJ
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158.098 0 Td
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[(the)-411(INS)-411(and)-412(ARPES)-411(spectra)-411(would)-411(now)-412(have)-411(to)-411(be)-411(rem)-1(easured)]TJ
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[(is)-288(the)-289(superconducting)-288(gap,)-289(which)-288(we)-289(assume)-288(to)-289(be)-288(of)-288(the)]TJ
/T1_4 7.502 Tf
178.229 0 Td
(d)Tj
/T1_3 7.502 Tf
4.279 0 Td
(-wave)Tj
-214.983 -8.667 Td
(form)Tj
/T1_9 7.97 Tf
17.274 0 Td
(\001)Tj
/T1_4 4.876 Tf
6.996 -1.126 Td
(k)Tj
/T1_6 7.502 Tf
4.514 1.126 Td
(D)Tj
/T1_9 7.97 Tf
7.354 0 Td
(\001)Tj
/T1_3 4.876 Tf
6.996 -1.126 Td
(0)Tj
/T1_3 7.502 Tf
2.839 1.126 Td
(\(cos)Tj
/T1_4 7.502 Tf
12.988 0 Td
(k)Tj
/T1_4 4.876 Tf
3.376 -1.126 Td
(x)Tj
/T1_6 7.502 Tf
4.195 1.126 Td
(\000)Tj
/T1_3 7.502 Tf
6.937 0 Td
(cos)Tj
/T1_4 7.502 Tf
10.213 0 Td
(k)Tj
/T1_4 4.876 Tf
3.376 -1.126 Td
(y)Tj
/T1_3 7.502 Tf
2.997 1.126 Td
(\))Tj
/T1_5 7.502 Tf
(=)Tj
/T1_3 7.502 Tf
[(2)-300(with)]TJ
/T1_9 7.97 Tf
27.796 0 Td
(\001)Tj
/T1_3 4.876 Tf
6.996 -1.126 Td
(0)Tj
/T1_6 7.502 Tf
4.341 1.126 Td
(D)Tj
/T1_3 7.502 Tf
7.354 0 Td
[(30)-300(meV,)-299(and)]TJ
/T1_4 7.502 Tf
41.501 0 Td
(\003)Tj
/T1_5 7.502 Tf
-0.085 0 Td
(\017)Tj
/T1_3 4.876 Tf
3.691 3.453 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_4 4.876 Tf
-0.413 -5.291 Td
(k)Tj
/T1_6 7.502 Tf
10.03 1.838 Td
(D)Tj
/T1_5 7.502 Tf
7.354 0 Td
(\017)Tj
/T1_3 4.876 Tf
3.691 3.453 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_4 4.876 Tf
-0.413 -5.291 Td
(k)Tj
/T1_6 7.502 Tf
9.613 1.838 Td
(C)Tj
/T1_5 7.502 Tf
6.938 0 Td
(\030)Tj
/T1_3 4.876 Tf
3.195 -1.126 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
-221.644 -7.542 Td
[(is)-313(the)-313(renormalized)-313(band)-313(structure.)-314(The)-313(unrenormalized)-313(band)-313(dispersions)]TJ
/T1_5 7.502 Tf
0 -8.667 TD
(\017)Tj
/T1_3 4.876 Tf
3.691 3.453 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_4 4.876 Tf
-0.413 -5.291 Td
(k)Tj
/T1_3 7.502 Tf
10.992 1.838 Td
[(were)-329(derived)-328(from)-329(tight-binding)-328(fits)-329(to)-328(the)-329(ARPES)-328(Fermi)-329(surface)-328(in)]TJ
-14.27 -8.668 Td
[(combination)-308(with)-309(extra)-308(information)-309(from)-308(band-structure)-309(calculations)-308(\(see)]TJ
T*
[(Supplementary)-253(Information\).)-252(We)-253(have)-253(found)-253(that)-252(the)-253(results)-253(of)-252(our)-253(calculations)]TJ
0 -8.668 TD
[(are)-256(quite)-256(robust)-256(against)-256(modifications)-256(of)]TJ
/T1_5 7.502 Tf
124.285 0 Td
(\017)Tj
/T1_3 4.876 Tf
3.691 3.453 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_4 4.876 Tf
-0.413 -5.29 Td
(k)Tj
/T1_3 7.502 Tf
10.448 1.837 Td
[(\(see)-256(Supplementary)-256(Information\).)]TJ
-138.011 -8.667 Td
(Finally,)Tj
/T1_5 7.502 Tf
24.275 0 Td
(!)Tj
/T1_4 7.502 Tf
5.064 0 Td
(Z)Tj
/T1_3 4.876 Tf
4.411 -1.126 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.115 1.126 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
[(;)-68(!)]TJ
/T1_3 7.502 Tf
14.711 0 Td
(\))Tj
/T1_6 7.502 Tf
4.214 0 Td
(D)Tj
/T1_5 7.502 Tf
7.29 0 Td
(!)Tj
/T1_6 7.502 Tf
6.085 0 Td
(\000)Tj
/T1_3 7.502 Tf
6.873 0 Td
(\(1)Tj
/T1_5 7.502 Tf
(=)Tj
/T1_3 7.502 Tf
(2\)\()Tj
/T1_9 7.97 Tf
(\006)Tj
/T1_3 4.876 Tf
25.176 -1.126 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.115 1.126 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
[(;)-68(!)]TJ
/T1_3 7.502 Tf
14.712 0 Td
(\))Tj
/T1_6 7.502 Tf
3.797 0 Td
(\000)Tj
/T1_9 7.97 Tf
6.873 0 Td
(\006)Tj
/T1_6 4.876 Tf
7.046 2.723 Td
(\003)Tj
/T1_3 4.876 Tf
-0.925 -4.741 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.115 2.018 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
(;)Tj
/T1_6 7.502 Tf
9.648 0 Td
(\000)Tj
/T1_5 7.502 Tf
(!)Tj
/T1_3 7.502 Tf
10.915 0 Td
(\)\))Tj
/T1_6 7.502 Tf
6.573 0 Td
(C)Tj
/T1_4 7.502 Tf
6.873 0 Td
(i)Tj
/T1_9 7.97 Tf
(\000)Tj
/T1_3 4.876 Tf
7.386 -1.126 Td
(el)Tj
/T1_3 7.502 Tf
5.89 1.126 Td
[(is)-282(the)-282(mass)]TJ
-201.232 -8.668 Td
[(renormalization)-279(function)-278(and)]TJ
/T1_5 7.502 Tf
91.986 0 Td
(\030)Tj
/T1_3 4.876 Tf
3.196 -1.125 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.114 1.125 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
[(;)-67(!)]TJ
/T1_3 7.502 Tf
14.706 0 Td
(\))Tj
/T1_6 7.502 Tf
4.202 0 Td
(D)Tj
/T1_3 7.502 Tf
7.278 0 Td
(\(1)Tj
/T1_5 7.502 Tf
(=)Tj
/T1_3 7.502 Tf
(2\)\()Tj
/T1_9 7.97 Tf
(\006)Tj
/T1_3 4.876 Tf
25.176 -1.125 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.115 1.125 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
[(;)-67(!)]TJ
/T1_3 7.502 Tf
14.706 0 Td
(\))Tj
/T1_6 7.502 Tf
3.785 0 Td
(C)Tj
/T1_9 7.97 Tf
6.861 0 Td
(\006)Tj
/T1_6 4.876 Tf
7.046 2.723 Td
(\003)Tj
/T1_3 4.876 Tf
-0.924 -4.741 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.114 2.018 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
(;)Tj
/T1_6 7.502 Tf
9.642 0 Td
(\000)Tj
/T1_5 7.502 Tf
(!)Tj
/T1_3 7.502 Tf
10.916 0 Td
[(\)\))-279(is)]TJ
-222.919 -8.667 Td
[(the)-288(energy)-288(shift)-288(fu)1(nction.)-288(Apart)-288(from)-288(an)-288(elastic)-288(scattering)-287(rate)]TJ
/T1_9 7.97 Tf
190.31 0 Td
(\000)Tj
/T1_3 4.876 Tf
5.361 -1.126 Td
(el)Tj
/T1_6 7.502 Tf
5.234 1.126 Td
(\030)Tj
/T1_3 7.502 Tf
7.312 0 Td
[(30)-167(meV,)]TJ
-208.217 -8.668 Td
[(which)-306(accounts)-306(for)-306(impurity)-306(scattering,)-306(the)-306(mass)-306(renormalization)-306(function)]TJ
0 -8.667 TD
[(is)-298(determined)-299(by)-298(the)-299(imaginary)-298(part)-298(of)-299(the)-298(electron)-298(self-energy)]TJ
/T1_9 7.97 Tf
193.592 0 Td
(\006)Tj
/T1_3 4.876 Tf
6.121 -1.126 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.115 1.126 Td
[(,)-298(which)]TJ
-207.828 -8.668 Td
[(can)-320(be)-319(written)-320(as)]TJ
35.329 -22.422 Td
(Im)Tj
/T1_9 7.97 Tf
10.428 0 Td
(\006)Tj
/T1_3 4.876 Tf
6.121 -1.125 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.115 1.125 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
[(;)-56(!)]TJ
/T1_3 7.502 Tf
14.617 0 Td
(\))Tj
/T1_6 7.502 Tf
6.761 0 Td
(D)Tj
/T1_3 7.502 Tf
14.654 5.259 Td
(1)Tj
ET
q
1 0 0 1 139.6640015 163.1799927 cm
0.345 w
0 0 m
10.844 0 l
S
Q
BT
/T1_10 7.502 Tf
139.664 155.978 Td
(\031)Tj
/T1_4 7.502 Tf
(N)Tj
/T1_8 7.502 Tf
12.456 12.453 Td
(X)Tj
/T1_4 4.876 Tf
3.538 -15.054 Td
(Q)Tj
/T1_8 7.502 Tf
7.494 18.137 Td
(Z)Tj
/T1_6 4.876 Tf
7.397 -1.882 Td
(1)Tj
-3.436 -15.031 Td
(\0001)Tj
/T1_3 7.502 Tf
9.697 6.703 Td
(d)Tj
/T1_9 7.97 Tf
(\n)Tj
/T1_6 7.502 Tf
10.885 0 Td
(T)Tj
/T1_4 7.502 Tf
(n)Tj
/T1_3 7.502 Tf
(\()Tj
/T1_9 7.97 Tf
(\n)Tj
/T1_3 7.502 Tf
16.114 0 Td
(\))Tj
/T1_6 7.502 Tf
3.609 0 Td
(C)Tj
/T1_4 7.502 Tf
6.685 0 Td
(f)Tj
/T1_3 7.502 Tf
3.74 0 Td
(\()Tj
/T1_9 7.97 Tf
(\n)Tj
/T1_6 7.502 Tf
10.533 0 Td
(\000)Tj
/T1_5 7.502 Tf
6.685 0 Td
(!)Tj
/T1_3 7.502 Tf
5.064 0 Td
(\))Tj
/T1_6 7.502 Tf
(U)Tj
-101.656 -26.6 Td
(\002)Tj
/T1_3 7.502 Tf
7.606 0 Td
(Im)Tj
/T1_4 7.502 Tf
9.955 0 Td
(V)Tj
/T1_3 4.876 Tf
4.914 -1.125 Td
(eff)Tj
/T1_3 7.502 Tf
5.423 1.125 Td
(\()Tj
/T1_7 7.502 Tf
(Q)Tj
/T1_5 7.502 Tf
(;)Tj
/T1_9 7.97 Tf
11.295 0 Td
(\n)Tj
/T1_3 7.502 Tf
6.924 0 Td
(\))Tj
1 0 0 1 -0 -0 Tm
189.087 134.704 Td
(Im)Tj
/T1_4 7.502 Tf
10.427 0 Td
(G)Tj
/T1_3 4.876 Tf
5.117 -1.125 Td
(B)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(A)Tj
/T1_3 7.502 Tf
8.114 1.125 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_6 7.502 Tf
7.488 0 Td
(\000)Tj
/T1_7 7.502 Tf
6.685 0 Td
(Q)Tj
/T1_5 7.502 Tf
[(;)-56(!)]TJ
/T1_6 7.502 Tf
14.416 0 Td
(\000)Tj
/T1_9 7.97 Tf
6.685 0 Td
(\n)Tj
/T1_3 7.502 Tf
6.924 0 Td
(\))Tj
/T1_5 7.502 Tf
(:)Tj
/T1_3 7.502 Tf
-207.682 -22.292 Td
(Here,)Tj
/T1_8 7.502 Tf
18.973 5.626 Td
(P)Tj
/T1_4 4.876 Tf
7.839 -7.745 Td
(Q)Tj
/T1_3 7.502 Tf
6.402 2.119 Td
[(denotes)-315(a)-315(sum)-315(of)-315(the)-315(in-plane)-315(momenta)-315(over)-315(the)-316(full)-315(Brillouin)]TJ
-33.214 -8.667 Td
(zone,)Tj
/T1_4 7.502 Tf
18.908 0 Td
(n)Tj
/T1_3 7.502 Tf
6.815 0 Td
(and)Tj
/T1_4 7.502 Tf
14.226 0 Td
(f)Tj
/T1_3 7.502 Tf
6.639 0 Td
[(are)-386(the)-387(Bose)-386(and)-387(Fermi)-386(functions,)-386(respectively,)-387(and)]TJ
/T1_4 7.502 Tf
-46.588 -8.668 Td
(V)Tj
/T1_3 4.876 Tf
4.914 -1.125 Td
(eff)Tj
/T1_3 7.502 Tf
8.136 1.125 Td
[(is)-362(the)-361(spin-fluctuation)-362(interaction)-361(equation)-230(\(1\).)-362(The)-361(real)-362(parts)-361(of)]TJ
/T1_9 7.97 Tf
-13.05 -8.667 Td
(\006)Tj
/T1_3 4.876 Tf
6.121 -1.126 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
10.995 1.126 Td
[(that)-384(enter)-384(into)-383(equation)-230(\(2\))-384(are)-384(obtained)-384(by)-383(Kramers\025Kronig)]TJ
-17.116 -8.668 Td
[(transformations.)-435(Note)-436(that)-436(the)-435(self-energy)-436(in)-435(the)-436(antibonding)]TJ
T*
[(band)-384(is)-384(determined)-385(by)-384(the)-384(interaction)-384(with)-384(the)-385(bonding)-384(band)-384(and)]TJ
0 -8.668 TD
[(vice)-417(versa.)]TJ
14.173 -8.667 Td
[(Together)-340(with)-340(equation)-229(\(1\),)-340(this)-340(defines)-339(a)-340(self-consistent)-340(system)-340(of)]TJ
-14.173 -8.668 Td
[(equations)-266(wit)1(h)-266(a)-266(single)-265(adjustable)-266(parameter,)-265(the)-266(coupling)-265(strength)]TJ
/T1_4 7.502 Tf
206.362 1.605 Td
(\t)Tj
-1.713 -1.605 Td
(U)Tj
/T1_3 7.502 Tf
6.426 0 Td
[(.)-266(Starting)]TJ
49.405 679.932 Td
[(with)-237(non-interacting)-236(values)-237(for)-237(the)-237(Green's)-236(functions,)-237(these)-237(equations)-237(were)-236(solved)]TJ
T*
[(iteratively)-238(until)-238(convergence)-237(was)-238(achieved.)-238(The)-238(renormalized)-238(band)-237(dispersion)-238(and)]TJ
0 -8.667 TD
[(spectral)-168(weight,)]TJ
/T1_4 7.502 Tf
47.421 0 Td
(f)Tj
/T1_3 7.502 Tf
3.739 0 Td
(\()Tj
/T1_5 7.502 Tf
(!)Tj
/T1_3 7.502 Tf
7.84 0 Td
[(\))-167(Im)]TJ
/T1_4 7.502 Tf
13.983 0 Td
(G)Tj
/T1_3 7.502 Tf
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
[(;)-33(!)]TJ
/T1_3 7.502 Tf
19.565 0 Td
[(\),)-168(can)-167(then)-168(be)-167(compared)-168(with)-167(ARPES)-168(data.)]TJ
-78.375 -8.668 Td
[(The)-220(linearized)-219(gap)-220(equations)]TJ
/T1_5 7.502 Tf
6.549 -21.858 Td
(\025)Tj
/T1_4 4.876 Tf
4.103 -1.125 Td
(d)Tj
/T1_3 7.502 Tf
5.005 1.125 Td
(Im)Tj
/T1_5 7.502 Tf
10.428 0 Td
(\036)Tj
/T1_3 4.876 Tf
4.328 -1.125 Td
(A)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(B)Tj
/T1_3 7.502 Tf
8.115 1.125 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_5 7.502 Tf
[(;)-56(!)]TJ
/T1_3 7.502 Tf
14.618 0 Td
(\))Tj
/T1_6 7.502 Tf
6.76 0 Td
(D)Tj
/T1_3 7.502 Tf
14.654 5.259 Td
(1)Tj
ET
q
1 0 0 1 392.852005 677.0180054 cm
0.345 w
0 0 m
10.844 0 l
S
Q
BT
/T1_10 7.502 Tf
392.852 669.816 Td
(\031)Tj
/T1_4 7.502 Tf
(N)Tj
/T1_8 7.502 Tf
12.457 12.454 Td
(X)Tj
/T1_4 4.876 Tf
3.346 -15.055 Td
(k)Tj
/T1_6 3.376 Tf
2.513 1.41 Td
(0)Tj
/T1_8 7.502 Tf
5.173 16.728 Td
(Z)Tj
/T1_6 4.876 Tf
7.396 -1.882 Td
(1)Tj
-3.435 -15.031 Td
(\0001)Tj
/T1_3 7.502 Tf
9.696 6.703 Td
(d)Tj
/T1_5 7.502 Tf
(!)Tj
/T1_6 4.876 Tf
9.025 3.098 Td
(0)Tj
/T1_6 7.502 Tf
1.815 -3.098 Td
(T)Tj
/T1_4 7.502 Tf
(n)Tj
/T1_3 7.502 Tf
(\()Tj
/T1_5 7.502 Tf
(!)Tj
/T1_6 7.502 Tf
15.087 0 Td
(\000)Tj
/T1_5 7.502 Tf
6.685 0 Td
(!)Tj
/T1_6 4.876 Tf
5.063 3.098 Td
(0)Tj
/T1_3 7.502 Tf
1.815 -3.098 Td
(\))Tj
/T1_6 7.502 Tf
3.609 0 Td
(C)Tj
/T1_4 7.502 Tf
6.685 0 Td
(f)Tj
/T1_3 7.502 Tf
3.74 0 Td
(\()Tj
/T1_6 7.502 Tf
(\000)Tj
/T1_5 7.502 Tf
(!)Tj
/T1_6 4.876 Tf
13.691 3.098 Td
(0)Tj
/T1_3 7.502 Tf
1.815 -3.098 Td
(\))Tj
/T1_6 7.502 Tf
(U)Tj
/T1_3 7.502 Tf
-107.371 -25.676 Td
(Im)Tj
/T1_4 7.502 Tf
9.955 0 Td
(V)Tj
/T1_3 4.876 Tf
4.914 -1.125 Td
(eff)Tj
/T1_3 7.502 Tf
5.423 1.125 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_6 7.502 Tf
7.487 0 Td
(\000)Tj
/T1_7 7.502 Tf
6.685 0 Td
(k)Tj
/T1_6 4.876 Tf
3.879 3.098 Td
(0)Tj
/T1_5 7.502 Tf
1.814 -3.098 Td
(;)Tj
1 0 0 1 -0 -0 Tm
434.717 649.467 Td
(!)Tj
/T1_6 7.502 Tf
5.895 0 Td
(\000)Tj
/T1_5 7.502 Tf
6.684 0 Td
(!)Tj
/T1_6 4.876 Tf
5.064 3.098 Td
(0)Tj
/T1_3 7.502 Tf
1.815 -3.098 Td
[(\))-230(Im)]TJ
/T1_8 7.502 Tf
13.62 10.532 Td
(\032)Tj
/T1_5 7.502 Tf
16.804 -5.273 Td
(\036)Tj
/T1_3 4.876 Tf
4.329 -1.126 Td
(B)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(A)Tj
/T1_3 7.502 Tf
8.114 1.126 Td
(\()Tj
/T1_7 7.502 Tf
(k)Tj
/T1_6 4.876 Tf
6.654 2.723 Td
(0)Tj
/T1_5 7.502 Tf
1.815 -2.723 Td
[(;)-56(!)]TJ
/T1_6 4.876 Tf
7.964 2.723 Td
(0)Tj
/T1_3 7.502 Tf
1.814 -2.723 Td
(\))Tj
ET
q
1 0 0 1 473.6269989 651.3419952 cm
0.345 w
0 0 m
55.411 0 l
S
Q
BT
/T1_3 7.502 Tf
473.627 643.464 Td
(\()Tj
/T1_5 7.502 Tf
(!)Tj
/T1_6 4.876 Tf
7.839 2.168 Td
(0)Tj
/T1_4 7.502 Tf
1.815 -2.168 Td
(Z)Tj
/T1_3 4.876 Tf
4.411 -1.126 Td
(B)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_3 4.876 Tf
(A)Tj
/T1_3 7.502 Tf
8.114 1.126 Td
(\))Tj
/T1_3 4.876 Tf
2.776 2.168 Td
(2)Tj
/T1_6 7.502 Tf
3.672 -2.168 Td
(\000)Tj
/T1_3 7.502 Tf
6.685 0 Td
(\()Tj
/T1_4 7.502 Tf
2.86 0 Td
(\003)Tj
/T1_5 7.502 Tf
-0.084 0 Td
(\017)Tj
/T1_4 4.876 Tf
3.691 3.453 Td
(B)Tj
/T1_5 4.876 Tf
(;)Tj
/T1_4 4.876 Tf
(A)Tj
-0.413 -5.291 Td
(k)Tj
/T1_6 3.376 Tf
2.514 1.409 Td
(0)Tj
/T1_3 7.502 Tf
5.916 0.429 Td
(\))Tj
/T1_3 4.876 Tf
2.776 2.168 Td
(2)Tj
/T1_8 7.502 Tf
4.034 14.367 Td
(\033)Tj
/T1_3 7.502 Tf
-222.492 -32.347 Td
(were)Tj
1 0 0 1 -0 -0 Tm
323.87 627.652 Td
[(solved)-264(for)-265(the)-264(same)-265(set)-265(of)-264(parameters.)-265(Note)-264(that)-265(the)-265(INS)-264(data)-265(used)-264(for)-265(the)]TJ
-16.129 -8.668 Td
[(calculations)-244(were)-244(taken)-244(at)]TJ
/T1_4 7.502 Tf
79.143 0 Td
(T)Tj
/T1_6 7.502 Tf
6.751 0 Td
(D)Tj
/T1_3 7.502 Tf
7.152 0 Td
[(5)-244(and)-244(70)-244(K,)-244(whereas)-244(the)-244(ARPES)-243(data)-244(were)-244(taken)-244(at)]TJ
-93.046 -8.667 Td
[(30)-167(K.)-235(As)-235(the)-235(changes)-234(in)-235(the)-235(superconducting)-235(gap)-235(and)-235(INS)-235(spectrum)-235(between)-234(5)-235(and)]TJ
0 -8.668 TD
[(30)-167(K)-249(are)-249(negligible,)-248(we)-249(use)-249(the)-249(5)-167(K)-249(INS)-248(results)-249(along)-249(with)-249(the)-249(3)1(0)-168(K)-248(ARPES)-249(data)-249(to)]TJ
0 -8.667 TD
[(determine)-200(the)-200(coupling)-200(constant)]TJ
/T1_4 7.502 Tf
100.125 1.605 Td
(\t)Tj
-1.712 -1.605 Td
(U)Tj
/T1_3 7.502 Tf
6.425 0 Td
[(.)-200(As)]TJ
/T1_4 7.502 Tf
12.301 0 Td
(T)Tj
/T1_3 7.502 Tf
6.95 0 Td
[(is)-200(raised)-200(further,)-200(the)-199(superconducting)-200(gap)]TJ
-124.089 -8.668 Td
[(decreases,)-220(and)-219(there)-220(is)-219(a)-220(shift)-220(of)-219(Im)]TJ
/T1_5 7.502 Tf
(\037)Tj
/T1_3 7.502 Tf
110.644 0 Td
[(to)-220(lower)-219(frequencies.)-220(However,)-219(we)-220(expect)-220(that)]TJ
/T1_4 7.502 Tf
-108.932 -7.062 Td
(\t)Tj
-1.712 -1.605 Td
(U)Tj
/T1_3 7.502 Tf
8.215 0 Td
[(is)-238(unchanged)-239(for)-238(the)-239(range)-238(of)-239(temperatures)-238(of)-239(interest,)-238(because)-239(it)-238(is)-239(determined)]TJ
-8.215 -8.668 Td
[(by)-203(weakly)]TJ
/T1_4 7.502 Tf
30.688 0 Td
(T)Tj
/T1_3 7.502 Tf
5.451 0 Td
[(-dependent)-203(high-energy)-203(processes.)]TJ
-21.966 -8.667 Td
[(For)-289(discussions)-289(of)-289(the)-289(influence)-289(of)-289(a)-289(high-energy)-289(cutoff)-289(in)]TJ
/T1_5 7.502 Tf
178.594 0 Td
(\037)Tj
/T1_3 7.502 Tf
5.161 0 Td
(\()Tj
/T1_7 7.502 Tf
(Q)Tj
/T1_5 7.502 Tf
(;)Tj
/T1_9 7.97 Tf
11.401 0 Td
(\n)Tj
/T1_3 7.502 Tf
6.924 0 Td
[(\))-289(and)]TJ
-216.253 -8.668 Td
[(of)-286(a)-287(normal-state)-286(pseudogap)-286(on)-287(the)-286(results)-287(of)-286(the)-286(numerical)-287(calculations,)-286(see)]TJ
T*
[(Supplementary)-227(Information.)]TJ
/T1_0 9.963 Tf
0 -18.998 TD
[(R)18(ec)9(eiv)16(ed)-198(19)-199(Sept)4(ember)-198(2008;)-199(ac)9(c)9(ept)4(ed)-198(12)-199(Dec)9(ember)-198(2008;)]TJ
0 -10.461 TD
[(published)-220(online)-220(18)-220(January)-220(2009)]TJ
/T1_2 9.963 Tf
0 -16.876 TD
[(R)18(ef)7(er)13(enc)9(es)]TJ
/T1_3 7.502 Tf
0 -9.534 TD
[(1.)-894(Eschrig,)-248(M.)-248(The)-249(effect)-248(of)-248(collective)-248(spin-1)-248(excitations)-249(on)-248(electronic)-248(spectra)-248(in)]TJ
12.108 -8.667 Td
(high-)Tj
/T1_4 7.502 Tf
(T)Tj
/T1_3 4.876 Tf
20.683 -1.126 Td
(c)Tj
/T1_3 7.502 Tf
4.257 1.126 Td
(superconductors.)Tj
/T1_4 7.502 Tf
53.96 0 Td
[(Adv.)-230(Phys.)]TJ
/T1_7 7.502 Tf
32.318 0 Td
(55)Tj
/T1_3 7.502 Tf
[(,)-230(47\025183)-230(\(2006\).)]TJ
-123.326 -8.668 Td
[(2.)-894(Hayden,)-324(S.)-230(M.,)-324(Mook,)-324(H.)-230(A.,)-323(Dai,)-324(P.,)-324(Perring,)-324(T.)-230(G.)-324(&)-324(Dogan,)-324(F.)-324(The)]TJ
12.108 -8.667 Td
[(structure)-241(of)-240(the)-241(high-energy)-240(spin)-241(excitations)-240(in)-241(a)-240(high-transition-temperature)]TJ
0 -8.668 TD
(superconductor.)Tj
/T1_4 7.502 Tf
51.298 0 Td
(Nature)Tj
/T1_7 7.502 Tf
22.937 0 Td
(429)Tj
/T1_3 7.502 Tf
[(,)-230(531\025534)-230(\(2004\).)]TJ
-86.343 -8.667 Td
[(3.)-894(Tranquada,)-248(J.)-230(M.)]TJ
/T1_4 7.502 Tf
65.185 0 Td
[(et)-248(al)]TJ
/T1_3 7.502 Tf
[(.)-248(Quantum)-247(magnetic)-248(excitations)-247(from)-248(stripes)-248(in)-247(copper)]TJ
-53.077 -8.668 Td
[(oxide)-230(superconductors.)]TJ
/T1_4 7.502 Tf
72.19 0 Td
(Nature)Tj
/T1_7 7.502 Tf
22.937 0 Td
(429)Tj
/T1_3 7.502 Tf
[(,)-230(534\025538)-230(\(2004\).)]TJ
-107.235 -8.667 Td
[(4.)-894(Hinkov,)-244(V.)]TJ
/T1_4 7.502 Tf
47.206 0 Td
[(et)-244(al)]TJ
/T1_3 7.502 Tf
[(.)-244(Spin)-244(dynamics)-243(in)-244(the)-244(pseudogap)-244(state)-243(of)-244(a)-244(high-temperature)]TJ
-35.098 -8.668 Td
(superconductor.)Tj
/T1_4 7.502 Tf
51.298 0 Td
[(Nature)-230(Phys.)]TJ
/T1_7 7.502 Tf
39.504 0 Td
(3)Tj
/T1_3 7.502 Tf
[(,)-230(780\025785)-230(\(2007\).)]TJ
-102.91 -8.667 Td
[(5.)-894(Vignolle,)-353(B.)]TJ
/T1_4 7.502 Tf
50.734 0 Td
[(et)-353(al)]TJ
/T1_3 7.502 Tf
[(.)-353(Two)-353(energy)-353(scales)-353(in)-353(the)-353(spin)-352(excitations)-353(of)-353(the)]TJ
-38.626 -8.668 Td
[(high-temperature)-365(superconductor)-365(La)]TJ
/T1_3 4.876 Tf
113.715 -1.125 Td
(2)Tj
/T1_6 4.876 Tf
(\000)Tj
/T1_4 4.876 Tf
(x)Tj
/T1_3 7.502 Tf
8.88 1.125 Td
(Sr)Tj
/T1_4 4.876 Tf
6.324 -1.125 Td
(x)Tj
/T1_3 7.502 Tf
2.736 1.125 Td
(CuO)Tj
/T1_3 4.876 Tf
14.584 -1.125 Td
(4)Tj
/T1_3 7.502 Tf
2.839 1.125 Td
(.)Tj
/T1_4 7.502 Tf
4.539 0 Td
[(Nature)-365(Phys.)]TJ
/T1_7 7.502 Tf
41.532 0 Td
(3)Tj
/T1_3 7.502 Tf
(,)Tj
-195.149 -8.667 Td
[(163\025167)-230(\(2007\).)]TJ
-12.108 -8.668 Td
[(6.)-894(Lipscombe,)-162(O.)-230(J.,)-161(Hayden,)-162(S.)-230(M.,)-162(Vignolle,)-162(B.,)-161(McMorrow,)-162(D.)-230(F.)-162(&)-162(Perring,)-161(T.)-230(G.)]TJ
12.108 -8.667 Td
[(Persistence)-233(of)-233(high-frequency)-233(spin)-233(fluctuations)-233(in)-234(overdoped)-233(superconducting)]TJ
T*
(La)Tj
/T1_3 4.876 Tf
7.254 -1.125 Td
(2)Tj
/T1_6 4.876 Tf
(\000)Tj
/T1_4 4.876 Tf
(x)Tj
/T1_3 7.502 Tf
8.881 1.125 Td
(Sr)Tj
/T1_4 4.876 Tf
6.324 -1.125 Td
(x)Tj
/T1_3 7.502 Tf
2.736 1.125 Td
(CuO)Tj
/T1_3 4.876 Tf
14.584 -1.125 Td
(4)Tj
/T1_3 7.502 Tf
4.564 1.125 Td
(\()Tj
/T1_4 7.502 Tf
(x)Tj
/T1_6 7.502 Tf
7.469 0 Td
(D)Tj
/T1_3 7.502 Tf
7.102 0 Td
(0)Tj
/T1_5 7.502 Tf
(:)Tj
/T1_3 7.502 Tf
(22\).)Tj
/T1_4 7.502 Tf
19.167 0 Td
[(Phys.)-230(Rev.)-230(Lett.)]TJ
/T1_7 7.502 Tf
46.076 0 Td
(99)Tj
/T1_3 7.502 Tf
[(,)-230(067002)-230(\(2007\).)]TJ
-136.265 -8.667 Td
[(7.)-894(Fauqu\351,)-339(B.)]TJ
/T1_4 7.502 Tf
47.413 0 Td
[(et)-339(al)]TJ
/T1_3 7.502 Tf
[(.)-339(Dispersion)-338(of)-339(the)-338(odd)-339(magnetic)-338(resonant)-339(mode)-338(in)]TJ
-35.305 -8.668 Td
[(nearly-optimally)-230(doped)-230(Bi)]TJ
/T1_3 4.876 Tf
78.747 -1.125 Td
(2)Tj
/T1_3 7.502 Tf
2.839 1.125 Td
(Sr)Tj
/T1_3 4.876 Tf
6.324 -1.125 Td
(2)Tj
/T1_3 7.502 Tf
2.838 1.125 Td
(CaCu)Tj
/T1_3 4.876 Tf
17.21 -1.125 Td
(2)Tj
/T1_3 7.502 Tf
2.838 1.125 Td
(O)Tj
/T1_3 4.876 Tf
5.589 -1.125 Td
(8)Tj
/T1_6 4.876 Tf
(C)Tj
/T1_5 4.876 Tf
(\016)Tj
/T1_3 7.502 Tf
8.934 1.125 Td
(.)Tj
/T1_4 7.502 Tf
3.526 0 Td
[(Phys.)-230(Rev.)-230(B)]TJ
/T1_7 7.502 Tf
37.351 0 Td
(76)Tj
/T1_3 7.502 Tf
[(,)-230(214512)-230(\(2007\).)]TJ
-178.304 -8.667 Td
[(8.)-894(Damascelli,)-289(A.,)-290(Hussain)1(,)-290(Z.)-289(&)-289(Shen,)-290(Z.-X.)-289(Angle-resolved)-289(photoemission)]TJ
12.108 -8.668 Td
[(studies)-230(of)-230(the)-230(cuprate)-230(superconductors.)]TJ
/T1_4 7.502 Tf
119.857 0 Td
[(Rev.)-230(Mod.)-230(Phys.)]TJ
/T1_7 7.502 Tf
48.514 0 Td
(75)Tj
/T1_3 7.502 Tf
[(,)-230(473\025541)-230(\(2003\).)]TJ
-180.479 -8.667 Td
[(9.)-894(Lanzara,)-235(A.)]TJ
/T1_4 7.502 Tf
47.803 0 Td
[(et)-235(al)]TJ
/T1_3 7.502 Tf
[(.)-235(Evidence)-235(for)-235(ubiquitous)-235(strong)-235(electron\025phonon)-235(coupling)-236(in)]TJ
-35.695 -8.668 Td
[(high-temperature)-230(superconductors.)]TJ
/T1_4 7.502 Tf
108.897 0 Td
(Nature)Tj
/T1_7 7.502 Tf
22.937 0 Td
(412)Tj
/T1_3 7.502 Tf
[(,)-230(510\025514)-230(\(2001\).)]TJ
-143.942 -8.667 Td
[(10.)-414(Kordyuk,)-198(A.)-230(A.)]TJ
/T1_4 7.502 Tf
58.485 0 Td
[(et)-198(al)]TJ
/T1_3 7.502 Tf
[(.)-198(Constituents)-198(of)-198(the)-198(quasiparticle)-198(spectrum)-198(along)-198(the)-198(nodal)]TJ
-46.377 -8.668 Td
[(direction)-230(of)-230(high-)]TJ
/T1_4 7.502 Tf
(T)Tj
/T1_3 4.876 Tf
57.502 -1.125 Td
(c)Tj
/T1_3 7.502 Tf
4.257 1.125 Td
(cuprates.)Tj
/T1_4 7.502 Tf
28.822 0 Td
[(Phys.)-230(Rev.)-230(Lett.)]TJ
/T1_7 7.502 Tf
46.076 0 Td
(97)Tj
/T1_3 7.502 Tf
[(,)-230(017002)-230(\(2006\).)]TJ
-148.765 -8.667 Td
[(11.)-414(Borisenko,)-233(S.)-230(V.)]TJ
/T1_4 7.502 Tf
61.799 0 Td
[(et)-233(al)]TJ
/T1_3 7.502 Tf
[(.)-233(Kinks,)-233(nodal)-233(bilayer)-233(splitting)-233(and)-233(interband)-233(scattering)-232(in)]TJ
-49.691 -8.668 Td
(YBa)Tj
/T1_3 4.876 Tf
12.131 -1.125 Td
(2)Tj
/T1_3 7.502 Tf
2.838 1.125 Td
(Cu)Tj
/T1_3 4.876 Tf
8.995 -1.125 Td
(3)Tj
/T1_3 7.502 Tf
2.839 1.125 Td
(O)Tj
/T1_3 4.876 Tf
5.588 -1.125 Td
(6)Tj
/T1_6 4.876 Tf
(C)Tj
/T1_4 4.876 Tf
(x)Tj
/T1_3 7.502 Tf
8.881 1.125 Td
(.)Tj
/T1_4 7.502 Tf
3.526 0 Td
[(Phys.)-230(Rev.)-230(Lett.)]TJ
/T1_7 7.502 Tf
46.076 0 Td
(96)Tj
/T1_3 7.502 Tf
[(,)-230(117004)-230(\(2006\).)]TJ
-102.982 -8.667 Td
[(12.)-414(Zabolotnyy,)-330(V.)-230(B.)]TJ
/T1_4 7.502 Tf
67.982 0 Td
[(et)-330(al)]TJ
/T1_3 7.502 Tf
12.997 0 Td
[(.)-330(Momentum)-329(and)-330(temperature)-329(dependence)-330(of)]TJ
-68.871 -8.668 Td
[(renormalization)-192(effects)-191(in)-192(the)-191(high-temperature)-192(superconductor)-192(YBa)]TJ
/T1_3 4.876 Tf
204.746 -1.125 Td
(2)Tj
/T1_3 7.502 Tf
2.839 1.125 Td
(Cu)Tj
/T1_3 4.876 Tf
8.995 -1.125 Td
(3)Tj
/T1_3 7.502 Tf
2.838 1.125 Td
(O)Tj
/T1_3 4.876 Tf
5.589 -1.125 Td
(7)Tj
/T1_6 4.876 Tf
(\000)Tj
/T1_5 4.876 Tf
(\016)Tj
/T1_3 7.502 Tf
8.934 1.125 Td
(.)Tj
/T1_4 7.502 Tf
-233.941 -8.667 Td
[(Phys.)-230(Rev.)-230(B)]TJ
/T1_7 7.502 Tf
37.352 0 Td
(76)Tj
/T1_3 7.502 Tf
[(,)-230(064519)-230(\(2007\).)]TJ
-49.46 -8.668 Td
[(13.)-414(Parks,)-230(R.)-230(D.)-230(\(ed.\))]TJ
/T1_4 7.502 Tf
65.559 0 Td
(Superconductivity)Tj
/T1_3 7.502 Tf
54.407 0 Td
[(Vol.)-230(1)-230(\(Dekker,)-230(1969\).)]TJ
-119.966 -8.667 Td
[(14.)-414(Huang,)-264(Z.)-230(B.,)-265(Hanke,)-264(W.,)-264(Arrigoni,)-264(E.)-265(&)-264(Chubukov,)-264(A.)-230(V.)-264(Renormalization)]TJ
12.108 -8.668 Td
[(of)-275(the)-276(electron-spin-fluctu)1(ation)-276(interaction)-275(in)-275(the)]TJ
/T1_4 7.502 Tf
152.277 0 Td
(t)Tj
/T1_3 7.502 Tf
(\025)Tj
/T1_4 7.502 Tf
(t)Tj
/T1_6 4.876 Tf
8.222 2.723 Td
(0)Tj
/T1_3 7.502 Tf
1.815 -2.723 Td
(\025)Tj
/T1_4 7.502 Tf
(U)Tj
/T1_3 7.502 Tf
11.217 0 Td
[(Hubbard)-275(model.)]TJ
/T1_4 7.502 Tf
-173.531 -8.667 Td
[(Phys.)-230(Rev.)-230(B)]TJ
/T1_7 7.502 Tf
37.352 0 Td
(74)Tj
/T1_3 7.502 Tf
[(,)-230(184508)-230(\(2006\).)]TJ
-49.46 -8.668 Td
[(15.)-414(Dahm,)-297(T.)-296(&)-297(Tewordt,)-297(L.)-296(Physical)-297(quantities)-296(in)-297(nearly)-297(antiferromagnetic)]TJ
12.108 -8.667 Td
[(and)-332(superconducting)-333(states)-332(of)-332(the)-332(two-dimensional)-333(Hubbard)-332(model)]TJ
T*
[(and)-371(comparison)-372(with)-371(cuprate)-371(superconductors.)]TJ
/T1_4 7.502 Tf
149.329 0 Td
[(Phys.)-371(Rev.)-372(B)]TJ
/T1_7 7.502 Tf
40.531 0 Td
(52)Tj
/T1_3 7.502 Tf
(,)Tj
-189.86 -8.667 Td
[(1297\0251308)-230(\(1995\).)]TJ
-12.108 -8.668 Td
[(16.)-414(Aichhorn,)-400(M.,)-400(Arrigoni,)-400(E.,)-400(Potthoff,)-400(M.)-400(&)-400(Hanke,)-400(W.)-400(Phase)]TJ
12.108 -8.667 Td
[(separation)-298(and)-299(competition)-298(of)-298(superconductivity)-299(and)-298(magnetism)-298(in)-299(the)]TJ
T*
[(two-dimensional)-234(Hubbard)-234(model:)-234(From)-234(strong)-234(to)-234(weak)-234(coupling.)]TJ
/T1_4 7.502 Tf
199.029 0 Td
[(Phys.)-234(Rev.)-234(B)]TJ
/T1_7 7.502 Tf
-199.029 -8.667 Td
(76)Tj
/T1_3 7.502 Tf
[(,)-230(224509)-230(\(2007\).)]TJ
-12.108 -8.668 Td
[(17.)-414(Maier,)-263(T.)-230(A.,)-263(Macridin,)-264(A.,)-263(Jarrell,)-263(M.)-263(&)-264(Scalapino,)-263(D.)-230(J.)-263(Systematic)-263(analysis)]TJ
12.108 -8.667 Td
[(of)-312(a)-312(spin-susceptibility)-312(representation)-312(of)-312(the)-313(pairing)-312(interaction)-312(in)-312(the)]TJ
T*
[(two-dimensional)-230(Hubbard)-230(model.)]TJ
/T1_4 7.502 Tf
104.756 0 Td
[(Phys.)-230(Rev.)-230(B)]TJ
/T1_7 7.502 Tf
37.351 0 Td
(76)Tj
/T1_3 7.502 Tf
[(,)-230(144516)-230(\(2007\).)]TJ
-154.215 -8.667 Td
[(18.)-414(Pailh\350s,)-270(S.)]TJ
/T1_4 7.502 Tf
44.488 0 Td
[(et)-270(al)]TJ
/T1_3 7.502 Tf
[(.)-270(Doping)-270(dependence)-270(of)-271(bilayer)-270(resonant)-270(spin)-270(excitations)-270(in)]TJ
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