Nodal gaps (LSCO) and Nodal kinks (Bi2212)

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. 7% LSCO 10% LSCO Fig.1 Gap structure in k-space b AN a c N Sr 0.03 Sr 0.12 Sr 0.07 f d e

3. Fig.2 Doping dependent nodal gap

4. Fig.3 T-dependence for SC samples l

5. Fig.4 phase diagram

6. Kiyohisa Tanaka et al. Science 314, 1910 (2006) Sugai et al., PHYSICAL REVIEW B 68, 184504 (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

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

11. Doping perspective Bi2212 Bi2201 0 -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, 140504(R) (2008)

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

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

19. OD65 Bi2212 – self energy

20. OD65 Bi2212 Warming up Tc = 65K

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

22. Bi2212 – nodal kink phase diagram (M)ain kink (S)ub kink (L)ow energy kink 50K 2 kinks Tc ~ 80K 130K 1 kink No drastic change shift in position OR change in intensity? 1 kink 2 kinks 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 12% LSCO 10% LSCO antinode node 1% LSCO 3% LSCO 5% LSCO 7% LSCO

29. 7% LSCO 7% LSCO 10% LSCO

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

31. Symmetry argument d+s wave Gap size (meV) Δd fixed at 40meV; line nodes with Δs = 0, 10, 20, 40, 60meV respectively Θdeg d+is wave Gap size (meV) W.A. Atkinson et al., PRL 109, 267004 (2012) Θdeg