Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and...
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Transcript of Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and...
![Page 1: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/1.jpg)
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-dependence
Fig.2 doping dependence
Fig.3 T-dependence
Fig.4 phase diagram
• Doping dependence (UD&OD)
• T-dependence
• Bi2201, Bi2212 and LSCO
• Where are we?
![Page 2: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/2.jpg)
Fig.1 Gap structure in k-space
![Page 3: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/3.jpg)
Fig.2 Doping dependent nodal gap
![Page 4: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/4.jpg)
Fig.3 T-dependence for SC samples
![Page 5: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/5.jpg)
Fig.4 phase diagram
![Page 6: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/6.jpg)
Sugai et al., PHYSICAL REVIEW B 68, 184504 (2003)
Kiyohisa Tanaka et al. Science 314, 1910 (2006)
![Page 7: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/7.jpg)
Low energy kink
SubkinkMain kink
High energy kink
8~16meV
40~50meV
60~70meV
~400meV
Energy Hierarchy in HTSC ‘kinkology’
![Page 8: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/8.jpg)
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-dependence
Fig.2 doping dependence
Fig.3 T-dependence
Fig.4 phase diagram
• Doping dependence (UD&OD)
• T-dependence
• Bi2201, Bi2212 and LSCO
• Where are we?
![Page 9: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/9.jpg)
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
![Page 10: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/10.jpg)
LSCO Bi2212 Bi2201
UD
OD
UD OD
Low energy kink
Subkink*
Main kink*
Doping perspective
????
![Page 11: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/11.jpg)
Bi2201Bi2212
Doping perspective
Abnormal high energy selfE line shapeExplain abnormally large off-nodal selfE
0
-0.2
![Page 12: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/12.jpg)
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)
![Page 13: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/13.jpg)
Momentum perspective (O/UD89 Bi2212, Dessau)
High energy spin fluctuation dispersion looks less inconsistent
![Page 14: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/14.jpg)
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?
![Page 15: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/15.jpg)
Temperature perspective
![Page 16: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/16.jpg)
Kinks in OP96 Bi2212
Lee Wei-Sheng et al., PHYSICAL REVIEW B 77, 140504(R) (2008)
![Page 17: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/17.jpg)
OD82 Bi2212
i) Subkink stronger off-node (more separated from main kink)
ii) Subkink disappear cross above Tc
![Page 18: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/18.jpg)
OD80 Bi2212
50K
Tc ~ 80K
130K
50K
Tc ~ 80K
130K
![Page 19: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/19.jpg)
OD65 Bi2212 – self energy
![Page 20: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/20.jpg)
OD65 Bi2212
Tc = 65K
Warming up
![Page 21: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/21.jpg)
UD22 Bi2212
I.M. Visik et al., PNAS 109, 18332(2012)
UD22 OD65
![Page 22: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/22.jpg)
(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 diagram
50KTc ~ 80K130K
Indiscernible1 kink
shift in position OR change in intensity?
![Page 23: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/23.jpg)
7% LSCO 10% LSCO
Universality ??
![Page 24: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/24.jpg)
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?
![Page 25: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/25.jpg)
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
![Page 26: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/26.jpg)
The END
![Page 27: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/27.jpg)
UD22 and OD65 Bi2212 – Luttinger counting?
![Page 28: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/28.jpg)
Supplementary
1% LSCO 3% LSCO 5% LSCO 7% LSCO
node
antinode10% LSCO 12% LSCO
![Page 29: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/29.jpg)
7% LSCO
7% LSCO 10% LSCO
![Page 30: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/30.jpg)
More on 7%, 8% and 10%
Tc~19K
7% LSCO 8% LSCO
Tc~24K
10% LSCO
Tc
13K
11K
![Page 31: Nodal gaps (LSCO) and Nodal kinks (Bi2212) Yu He SC Meeting Aug 30, 2013 Figures Kinks in UD(22) and OD(92,80,65) Bi2212 Fig.1 k-dependence Fig.2 doping.](https://reader036.fdocuments.in/reader036/viewer/2022062714/56649cf85503460f949c9894/html5/thumbnails/31.jpg)
Symmetry argument
d+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