1. Nodal gaps (LSCO) and Nodal kinks (Bi2212)
Yu He
SC Meeting
Aug 30, 2013
Figures
Fig.1 k-dependence
Fig.2 doping dependence
Fig.3 T-dependence
Fig.4 phase diagram
Kinks in UD(22) and OD(92,80,65) Bi2212
Doping dependence (UD&OD)
T-dependence
Bi2201, Bi2212 and LSCO
Where are we?

2. Fig.1 Gap structure in k-space
7% LSCO
10% LSCO
Fig.1 Gap structure in k-space f e d a b c N AN
Sr 0.03
Sr 0.07
Sr 0.12
Guide to the eye kdep color scheme

3. Fig.2 Doping dependent nodal gap
Move legend box
Rid of left axis of (k)

4. Fig.3 T-dependence for SC samples

5. Fig.4 phase diagram

6. Kiyohisa Tanaka et al. Science 314, 1910 (2006)
Sugai et al., PHYSICAL REVIEW B 68, (2003)

7. Energy Hierarchy in HTSC ‘kinkology’
8~16meV
Low energy kink
40~50meV
Subkink
Main kink
60~70meV
~400meV
High energy kink

8. Nodal gaps (LSCO) and Nodal kinks (Bi2212)
Yu He
SC Meeting
Aug 30, 2013
Figures
Fig.1 k-dependence
Fig.2 doping dependence
Fig.3 T-dependence
Fig.4 phase diagram
Kinks in UD(22) and OD(92,80,65) Bi2212
Doping dependence (UD&OD)
T-dependence
Bi2201, Bi2212 and LSCO
Where are we?

9. 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 (%) 7 8 10 12
12.5 14 15 16 22
LSCO
UD19
UD22
UD24
UD32
UD31
UD37
OP38
OD38
OD27
p (%) 10 13 16 20 26 27
Bi2201
UD23
UD30
OP33
OD29
OD07
OD00

10. ??? ? Doping perspective LSCO Bi2212 Bi2201 UD OD UD OD
Low energy kink
???
Subkink* ?
Main kink*

11. Doping perspective Bi2212 Bi2201 Abnormal high energy selfE line shape
-0.2
Abnormal high energy selfE line shape
Explain abnormally large off-nodal selfE

12. Momentum perspective (O/UD89 Bi2212, Dessau)
Node -> Antinode:
Ekink decreases
Re[Sig] and 1st derivative of Im[Sig] consistent
Cutting angle correction not significant within this range
Data collected at SSRL

13. Momentum perspective (O/UD89 Bi2212, Dessau)
High energy spin fluctuation dispersion looks less inconsistent

14. Momentum perspective (OD80/73 Bi2212, IOP)
Node -> Antinode:
Ekink similar k-dependence
Main kink stays (lower white stripe), suggestion strong k-selective coupling vertex g(w,k)
‘unexplainable’ subkink dispersion
Extrapolated subkink sits on top of AN gap at (pi,0)!
Band bottom ~ 50meV
Kink position ~ 70meV
Strong renormalization??
Bonding band?

15. Temperature perspective

16. Kinks in OP96 Bi2212
Lee Wei-Sheng et al., PHYSICAL REVIEW B 77, (R) (2008)

17. OD82 Bi2212 Subkink stronger off-node (more separated from main kink)
Subkink disappear cross above Tc

18. OD80 Bi2212
50K
Tc ~ 80K
130K
50K
Tc ~ 80K
130K

19. OD65 Bi2212 – self energy

20. OD65 Bi2212
Warming up
Tc = 65K

21. UD22 Bi2212
I.M. Visik et al., PNAS 109, 18332(2012)
UD22
OD65

22. Bi2212 – nodal kink phase diagram
Tc ~ 80K
130K
(M)ain kink
(S)ub kink
(L)ow energy kink
2 kinks
1 kink
No drastic change
shift in position OR
change in intensity?
Indiscernible
1 kink

23. Universality ??
7% LSCO
10% LSCO

24. Universality ?? Low E kink has layer dependence?
Coupling stronger in Bi2201 (lower Tc)?
Subkink contribution smaller/more separated to low energy in Bi2212?

25. Where are we in kink-space?
Layer dependence,
BB and AB(7eV) – hv dependence
Deeply OD 2212
Subkink disappear?
Mainkink still there?
(Dessau LSCO)
Quantitative T-dep for
[-80,-60]meV,
[-50,-40]meV,
[-20,-5]meV
Band curvature correction
Band bottom even shallower at AN - renormalization k

26. The END

27. UD22 and OD65 Bi2212 – Luttinger counting?

28. Supplementary 10% LSCO 12% LSCO 1% LSCO 3% LSCO 5% LSCO 7% LSCO
antinode
node

29. 7% LSCO
7% LSCO
10% LSCO

30. More on 7%, 8% and 10% 13K 11K Tc Tc ~24K Tc ~19K 7% LSCO 8% LSCO

31. Symmetry argument d+s wave d+is wave Θ deg Gap size (meV)
Δd fixed at 40meV; line nodes with
Δs = 0, 10, 20, 40, 60meV respectively
Θ deg
W.A. Atkinson et al., PRL 109, (2012)
Θ deg
Gap size (meV)
d+is wave