Nodal gaps (LSCO) and Nodal kinks (Bi2212)
Yu HeSC MeetingAug 30, 2013
• Figures
• Kinks in UD(22) and OD(92,80,65) Bi2212
Fig.1 k-dependenceFig.2 doping dependenceFig.3 T-dependenceFig.4 phase diagram
• Doping dependence (UD&OD)• T-dependence• Bi2201, Bi2212 and LSCO• Where are we?
Fig.1 Gap structure in k-space
Fig.2 Doping dependent nodal gap
Fig.3 T-dependence for SC samples
Fig.4 phase diagram
Sugai et al., PHYSICAL REVIEW B 68, 184504 (2003)
Kiyohisa Tanaka et al. Science 314, 1910 (2006)
Low energy kink
SubkinkMain kink
High energy kink
8~16meV
40~50meV
60~70meV
~400meV
Energy Hierarchy in HTSC ‘kinkology’
Nodal gaps (LSCO) and Nodal kinks (Bi2212)
Yu HeSC MeetingAug 30, 2013
• Figures
• Kinks in UD(22) and OD(92,80,65) Bi2212
Fig.1 k-dependenceFig.2 doping dependenceFig.3 T-dependenceFig.4 phase diagram
• Doping dependence (UD&OD)• T-dependence• Bi2201, Bi2212 and LSCO• Where are we?
Kinks in various families
p (%) 6.3 6.9 7.6 8.4 14 16 18 20 22
Bi2212 UD22 UD30 UD40 UD50 UD92 OP96 OD92 OD80 OD65
p (%) 10 13 16 20 26 27
Bi2201 UD23 UD30 OP33 OD29 OD07 OD00
p (%) 7 8 10 12 12.5 14 15 16 22
LSCO UD19 UD22 UD24 UD32 UD31 UD37 OP38 OD38 OD27
LSCO Bi2212 Bi2201
UD
OD
UD OD
Low energy kink
Subkink*
Main kink*
Doping perspective
????
Bi2201Bi2212
Doping perspective
Abnormal high energy selfE line shapeExplain abnormally large off-nodal selfE
0
-0.2
Node -> Antinode:
i) Ekink decreases
ii) Re[Sig] and 1st derivative of Im[Sig] consistent
iii) Cutting angle correction not significant within this range
iv) Data collected at SSRL
Momentum perspective (O/UD89 Bi2212, Dessau)
Momentum perspective (O/UD89 Bi2212, Dessau)
High energy spin fluctuation dispersion looks less inconsistent
Node -> Antinode:
i) Ekink similar k-dependence
ii) Main kink stays (lower white stripe), suggestion strong k-selective coupling vertex g(w,k)
iii) ‘unexplainable’ subkink dispersion
iv) Extrapolated subkink sits on top of AN gap at (pi,0)!
Momentum perspective (OD80/73 Bi2212, IOP)
Band bottom ~ 50meVKink position ~ 70meV
Strong renormalization??Bonding band?
Temperature perspective
Kinks in OP96 Bi2212
Lee Wei-Sheng et al., PHYSICAL REVIEW B 77, 140504(R) (2008)
OD82 Bi2212
i) Subkink stronger off-node (more separated from main kink)
ii) Subkink disappear cross above Tc
OD80 Bi2212
50K
Tc ~ 80K
130K
50K
Tc ~ 80K
130K
OD65 Bi2212 – self energy
OD65 Bi2212
Tc = 65K
Warming up
UD22 Bi2212
I.M. Visik et al., PNAS 109, 18332(2012)
UD22 OD65
(M)ain kink(S)ub kink(L)ow energy kink
2 kinks
1 kink
1 kink
2 kinks
No drastic change
Bi2212 – nodal kink phase diagram50KTc ~ 80K130K
Indiscernible1 kink
shift in position OR change in intensity?
7% LSCO 10% LSCO
Universality ??
Universality ??
i) Low E kink has layer dependence?
ii) Coupling stronger in Bi2201 (lower Tc)?
iii) Subkink contribution smaller/more separated to low energy in Bi2212?
Where are we in kink-space?
k
Deeply OD 2212Subkink disappear?Mainkink still there? (Dessau LSCO)
Band bottom even shallower at AN - renormalization
Band curvature correction
Layer dependence,BB and AB(7eV) – hv dependence
Quantitative T-dep for [-80,-60]meV, [-50,-40]meV, [-20,-5]meV
The END
UD22 and OD65 Bi2212 – Luttinger counting?
Supplementary
1% LSCO 3% LSCO 5% LSCO 7% LSCO
node
antinode10% LSCO 12% LSCO
7% LSCO
7% LSCO 10% LSCO
More on 7%, 8% and 10%
Tc~19K
7% LSCO 8% LSCO
Tc~24K
10% LSCO
Tc
13K
11K
Symmetry argumentd+s wave
Θ deg
Gap size (meV)d+is wave
Gap size (meV)
W.A. Atkinson et al., PRL 109, 267004 (2012)
Θ deg
Δd fixed at 40meV; line nodes with Δs = 0, 10, 20, 40, 60meV respectively
