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