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IFW Dresden, Germany
, ,
http://www.imp.kiev.ua/~kordhttp://www.imp.kiev.ua/~kordhttp://www.imp.kiev.ua/~kord -
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ARPES view
of low energy electronic interactions
in superconducting cuprates
IFW Dresden, Germany
IMP Kiev, Ukraine
Alexander Kordyuk
http://www.imp.kiev.ua/~kordhttp://www.imp.kiev.ua/~kordhttp://www.imp.kiev.ua/~kord -
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Navigation
Introduction to HTSC physics
The advantages of our group
Electronic band structure
Antinodal region
Nodal region
Introduction to ARPES
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Introduction to ARPES
the most direct tool to explore themomentum-energy space of the
electrons in solids
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Photoemission Spectrum
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Angle-Resolved Photoemission (ARPES)
Angle
Energ
y
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Angle
ResolvedAnalyser
Angle
Energy
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ARPES with Synchrotron Light
Damascelli RMP2003
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Basics: electron dispersion
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momentum and energy resolution
extrinsic background
matrix elements
geometrical prefactor
Fermi cutoff
Photocurrent
A(k,)
I(k ) Moment m Distrib tion C r eI(k ) Energ Distrib tion Map
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I(k,) -EnergyDistribution Curve
I(k,) -MomentumDistribution Curve
BorisenkoPRB 2001
I(kx,ky,) -MomentumDistribution Map
I(k,) -EnergyDistribution Map
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Precise
Cryo-Manipulator0.1 precision
15 K < T < 400 K
UHV
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Fermi-surface map
Z M
X
(0,0) (,0)
(,)
Aebi PRL 1994
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Momentum-energy space
BorisenkoPRB 2001
X
X
YMMBin
dingenergy
(eV)
Mome
ntum
(-1)
ky
kx
20.5eV
( )( 0)
EF
EF
MX
min max
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Momentum Distribution Map
300 K, 21.2 eV Kordyuk 2000
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Momentum-energy space explorer today
+ =
BESSY
ELETTRA
SLS
+
hv
more
synchrotrons
http://../sinhrotrons.ppt#-1,1,No%20Slide%20Titlehttp://../sinhrotrons.ppt#-1,1,No%20Slide%20Titlehttp://../sinhrotrons.ppt#-1,1,No%20Slide%20Titlehttp://../sinhrotrons.ppt#-1,1,No%20Slide%20Title -
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...travelling chamber
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The advantages of our group
why Bi(Pb)-2212 is the best of thecuprates to be explored by ARPES
Bi S C C O
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Bi2Sr2CaCu2O8+
BSCCO
Bi-2212
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ee
eee e
Pb t Pb?
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Pb or not Pb?
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Introduction to HTSC physics
what ARPES said, what people believedit had been saying, and what we believe
it is saying today
Generic phase diagram of cuprates
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Generic phase diagram of cuprates
Bi2Sr2CaCu2O8+
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Fermi surface
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Damascelli RMP2003
Bogdanov PRL 2000 KordyukPRB 2002
BorisenkoPRL
2000
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Fermi surface:
Nature of the Shadow Band (SB)
Stripes
...
BorisenkoPRL 2000
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Peak-Dip-Hump
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Quasiparticles?
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100 K
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Evidence for MFL
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Time reversal symmetry
breaking?
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In what we believe today
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Electronic band structure
A set of superstructure-free Bi(Pb)-2212 in
a wide doping range
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KordyukPRB 2002
a wide doping range...
A set of superstructure-free Bi(Pb)-2212 in
a wide doping range with
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a wide doping range with
known doping level
KordyukPRB 2002
Band structure: TBF
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KordyukPRB 2003
)2cos2(cos2coscos4)cos(cos2),( yxyxyxyx kktkktkktkk +++=
eV05.0
eV1.0
eV4.0
eV4.0
t
t
t
OD 69K
Bare band structure
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100
80
60
40
20
0
0.300.250.200.150.100.05
x
A,EDCm
ax,Tc
KordyukPRB 2003
High precision Fermi surface mapping
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OD
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Momentum
Momentum
Momentum
Energy
TTc
Key regions
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UD77K 27 eV 30 K
Momentum
Ene
rgy
OD69K 38 eV 30 K
Momentum
Ene
rgy
Saddle point
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( 0)
M
Excitation energy variation: PDH in OD
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KordyukPRL 2002
Excitation energy variation: PDH in OD
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Kordyuk PRL 2002
Antinodal region (XMY)
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Antinodal or "XMY cut"
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Interaction with a mode
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BorisenkoPRL 2003
-0.2
-0.1
0.0
0.2 0.1 0.0
d
OD69K
hv= 21.2 eV
T = 30 K
0.2 0.1 0.0 -0.1 -0.2
e
OD69K
hv= 38 eV
T = 30 K
0.2 0.1 0.0 -0.1 -0.2
f
OD76K
hv= 50 eV
T = 30 K
-0.2
-0.1
0.0
Ene
rgy
(eV)
0.2 0.1 0.0
g
UD77Khv= 25 eV
T = 30 K
0.2 0.1 0.0 -0.1
h
UD77Khv= 38 eV
T = 30 K
0.2 0.1 0.0 -0.1 -0.2
i
UD76Khv= 55 eV
T = 30 K
-0.2
-0.1
0.0
0.2 0.1 0.0 -0.1
j
UD77K
hv= 21.2 eV
T = 120 K
0.2 0.1 0.0 -0.1
Momentum (-1)
k
UD77Khv= 38 eVT = 120 K
0.3 0.2 0.1 0.0 -0.1 -0.2
l
UD77Khv= 50 eVT = 120 K
Interaction with a mode
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Kim PRL 2003
Antinodal electrons couple to ...
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Energy ~ 40 meV
Doping dependence: UD
OD
Temperature dependence:
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Kinks
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Kaminski PRL 2001
Bogdanov PRL 2000
Johnson PRL 2001 Lanzara Nature 2001
Kinks
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Zhou Nature 2003
Zhou cond-mat2004
One complication: nodal splitting
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KordyukPRB 2004
-1
0
1
ky
(-1)
-2 -1 0 1
kx (-1
)
Y
X
M
c
Nodal splitting k = 0.012 1/ = 50 meV (bare!)
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27 eV 17.5 eV
KordyukPRB 2004
Bare dispersion
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Kordyuk cond-mat/0405696
Self-energy approach
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Kordyuk cond-mat/0405696
Self-energy approach
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'() = KK ''()
Kordyuk cond-mat/0405696
Kramers-Kronig transform
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'() = KK ''()
Kordyuk cond-mat/0409483
Bare dispersion
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Kordyuk cond-mat/0405696
Bare dispersionSelf-consistency:
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Kordyuk cond-mat/0405696
LDA + self-energy
Well defined quasi-
particles
Kink phenomenology
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Phenomenology of the kink
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Kordyuk cond-mat/0409483
Scattering rate kink
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KordyukPRL 2004
Scattering rate
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KordyukPRL 2004
Scattering rate kink
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KordyukPRL 2004
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Parity
Circular dichroism in nodal region
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T
(, )
-4-202Angle (deg)
46.0
45.8
45.6
Kine
ticenergy(eV)
Borisenko 2004
Circular dichroism in nodal region
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T
(, )
-4-202Angle (deg)
46.0
45.8
45.6
Kine
ticenergy(eV)
Borisenko 2004
Circular dichroism in nodal region
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T
(, )
Borisenko 2004
~ antibonding ~ bonding
Odd scattering
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103
50
40
30
20
10
-0.20 -0.15 -0.10 -0.05 0.00
Energy (eV)
AntibondingBonding
Im
(ab.
un.)
Borisenko 2004
Nodal electrons couple to ...
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Parity: odd boson
Doping dependence: UD
OD
Temperature dependence:
< Tc for OD< T* for UD
spin
fluctuations
Conclusions
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The spectral function analysis is applicable to the ARPESspectra from HTSC cuprates.
Along the nodal direction well defined quasiparticles exist even
for the underdoped Bi-2212 in the pseudogap state.
Two channels in the scattering rate can be distinguished.
The main doping independent contribution to the scattering
can be well understood in terms of the conventional Fermi liquid
model...
...while the additional doping dependent contribution has a
magnetic origin.
The magnetic contribution essentially increases with
underdoping becoming dominant for the rest of the Brillouin zone
and therefore determines the unusual properties of the cuprates
in the superconducting and pseudo-gap phases.
Thanks to:
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Spectroscopy Group IFF, IFW Dresden
Sergey Borisenko
Thanks to:
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Spectroscopy Group IFF, IFW Dresden
Sergey Borisenko, Timur Kim, Andreas Koitzsch, Vladimir Zabolotny,
Jochen Geck, Roland Hbel, Martin Knupfer, Jrg Fink
,
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Single Crystals
Helmut Berger EPFL Lausanne
Chengtian Lin, Bernhard Keimer MPI Stuttgart
S. Ono, Yoichi Ando CRIEPI Tokyo
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Synchrotron Light
Rolf Follath BESSY Berlin
Stefano Turchini, Cesare Grazioli ELETTRA Trieste
Ming Shi, Luc Patthey SLS Villigen
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THE END