nodal gaps (lsco) and nodal kinks (bi2212) yu he sc meeting aug 30, 2013 figures kinks in ud(22) and...
TRANSCRIPT
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?
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-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?
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 diagram
50KTc ~ 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 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