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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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Self-energy approach

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'() = KK ''()


Kramers-Kronig transform

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'() = KK ''()


Bare dispersion

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Bare dispersionSelf-consistency:

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LDA + self-energy

Well defined quasi-

particles

Kink phenomenology

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Phenomenology of the kink

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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


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T

(, )

-4-202Angle (deg)

46.0

45.8

45.6

Kine

ticenergy(eV)

Borisenko 2004


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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

2004 FPS Kordyuk

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