1875 Ba 0125 CuO 4 Z Guguchia 1 R Khasanov 2 M Bendele 1 E Pomjakushina 3 K Conder 3 A Shengelaya 4 and H Keller 1 1 PhysikInstitut der Universität Zürich Switzerland ID: 413542
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Slide1
Negative Oxygen Isotope Effect on the Static Spin Stripe Order in La1.875Ba0.125CuO4
Z. Guguchia,1 R. Khasanov,2 M. Bendele,1E. Pomjakushina,3 K. Conder,3 A. Shengelaya,4 and H. Keller11Physik-Institut der Universität Zürich, Switzerland2Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, Switzerland3Laboratory for Developments and Methods, Paul Scherrer Institute, Switzerland 4Department of Physics, Tbilisi State University, Georgia
Tbilisi State UniversitySlide2
Zurab Guguchia
Physik-Institut der Universität Zürich, SwitzerlandLaboratory for Muon Spin Spectroscopy, Paul-Scherrer Institut, Switzerland
Negative Oxygen Isotope Effect on the Static Spin Stripe Order in La
1.875
Ba0.125CuO4Slide3
Thank you!
Markus BendeleHugo KellerLaboratory for Muon Spin Spectroscopy (PSI)
Rustem Khasanov
Laboratory for Developments and Methods
(PSI)
Ekaterina Pomjakushina
Kazimierz Conder
Alexander Shengelaya
Tbilisi State UniversitySlide4
Outline Introduction Stripe phase in cuprates. Isotope effects. Muon Spin Rotation (µSR) technique.
Results Oxygen Isotope Effect (OIE) on superconductivity in LBCO-1/8. OIE on the static spin stripe order in LBCO-1/8.Pressure effects in LBCO-1/8.ConclusionsSlide5
Superconductivity in La2-xBaxCuO4
Moodenbaugh et al, Phys. Rev. B 38, 4596 (1988).
Axe
et al
, Phys. Rev. Lett.
62
, 2751 (1989)
.
H
ücker
et al
, Phys. Rev. B
83
, 104506
(2011). Slide6
Experimental evidence for static stripes in La1.48Nd0.4Sr0.12CuO
4Neutron ScatteringTranquada et al, Nature (London) 375, 561 (1995). Guguchia, PhD thesis,University of Zürich (2013).
Real space
Spin order
Charge order
M. Vojta, Adv. Phys.
58
, 699 (2009) and references therein.
T. Wu et. al., Nature
477
, 191 (2011).Slide7
Central issues in Cuprates What is microscopic origin of the stripe formation?
The stripe phase may be caused by electronic and/or electron-lattice interaction. Do stripes promote or inhibit superconductivity?Zaanen and Gunnarson Phys. Rev. B 40, 7391 (1989).
White and Scalapino, PRL 80, 1272 (1998).
Emery and Kivelson, Physica C
209
, 597 (1993).
M. Vojta, Adv. Phys.
58
, 699 (2009).
Do they contain all ingredients
required for stripe formation?Slide8
Superconductivity in La2-xBaxCuO4
Moodenbaugh et al, Phys. Rev. B 38, 4596 (1988).
0.11 <
x
≤
0.13
Axe
et al
, Phys. Rev. Lett. 62, 2751 (1989). Hücker et al, Phys. Rev. B
83
, 104506
(2011).
Slide9
Experimental evidence for static stripes: Neutron Scattering
Tranquada et al, Nature (London) 375, 561 (1995). Zaanen and Gunnarson, PRB 40, 7391 (1989).White and Scalapino, PRL 80, 1272 (1998).
La
1.48
Nd0.4
Sr0.12CuO4
Momentum space
Real space
Spin peaks
Charge peaksSlide10
Central issues in Cuprates What is microscopic origin of the stripe formation?
Do stripes promote or inhibit superconductivity?Slide11
Early stripe predictions
Zaanen and GunnarsonPhys. Rev. B 40, 7391 (1989)Hubbard modelMean-field solution
White and Scalapino,
PRL 80, 1272 (1998)
t-J model
Density matrix renormalization groupSlide12
Alternative: Frustrated Phase Separation
Löw, Emery, Fabricius, andKivelson, PRL 72, 1918 (1994)
Competing interactions result in striped and checkerboard phases
Analysis of t-J model by Emery and Kivelson:
Holes tend to phase separate!
t-J model lacks long-range part of Coulomb interaction
Long-range Coulomb repulsion frustrates phase separationSlide13
Holes in an AF : Why Do Stripes Occur?
PHASE SEPARATION
Coulomb Interactions
Kinetic Energy
Frustration
STRIPES
Emery and Kivelson Physica C
209
, 597 (1993).
The investigated models do not contain all ingredients
required for stripe formation!Slide14
Stripe order in La1.875Ba0.125CuO4
M. Hücker et al., Phys. Rev. B 83, 104506 (2011).
Z. Guguchia et al.
, New Journal of Physics 15, 093005 (2013).
Maisuradze and Guguchia,
University of Zurich. Slide15
V
sc(0) + Vm(0) ≈ 1
Superconductivity and magnetism are competing order parameters.
Phase diagrams
Z. Guguchia
et al.
, New Journal of Physics
15
, 093005 (2013).Slide16
Diamond anvil cell for high-pressure magnetization measurements
Maisuradze and Guguchia, University of Zurich. Slide17
Superconducting properties of La1.875Ba0.125CuO4
Z.
Guguchia et al., New Journal
of
Physics 15, 093005 (2013).Slide18
H
ücker et al, PRL 104, 057004 (2010).Slide19
Double wall piston-cylinder type of cell made of MP35N material for µSR under pressure
Andreica, Ph.D. thesis, IPP/ETH-Zürich, (2001). Slide20
High pressure µSR experiments on La1.875Ba0.125CuO4
Z. Guguchia et al., New Journal of Physics 15, 093005 (2013).Slide21
High pressure µSR experiments on La1.875Ba0.125CuO4
TLTT = 0
Z.
Guguchia
et
al.
, New Journal
of Physics 15, 093005 (2013).Slide22
Conventional superconductivity
Electron-phonon interactionBCS:
Isotope effect:
Ranges from 0.2-0.5 in elemental metals
Weak coupling BCS predicts a value of
a
= 0.5
C.A. Reynolds et. al., Phys. Rev.
78
, 487 (1950).
E. Maxwell, Phys. Rev.
78
, 477 (1950).
J. Bardeen et. al., Phys. Rev.
108
, 1175 (1957).Slide23
Unconventional Oxygen Isotope effects (OIE’s) in cuprates
J. Hofer et. al., PRL 84, 4192 (2000).K.A. Müller, J. Phys. Condens. Matter 19, 251002 (2007).H. Keller et. al., Materials today 11, 9 (2008).
Shengelaya
et. al, PRL 83, 24 (1999).
Khasanov
et. al., PRL 101, 077001 (2008).
Lanzara
et. al., J. Phys. Condens. Matter 11, L541 (1999). Rubio Temprano et. al., PRL 84, 1990 (2000).Zhech et. al., Nature 371, 681–683, 1994. Slide24
Isotope effect on Tc near 1/8
M.K. Crawford et. al., Science 250, 1390 (1990). G.M. Zhao et. al., J. Phys.: Condens. Matter 10, 9055 (1998).J.P. Franck et. al., PRL 71, 283 (1993). J. Hofer et. al., PRL 84, 4192 (2000).B. Batlogg et. al., PRL 59, 912 (1987). G.Y. Wang et. al., PRB 75, 212503 (2007).Slide25
TRIUMF http://neutron.magnet.fsu.edu/muon_relax.htmlMuon-spin rotation (
μSR) techniqueSlide26
Courtesy of H. Luetkens
homogeneous
amplitude
→ magnetic volume fraction
frequency
→ average local magnetic field Damping → magnetic field distribution / magnetic fluctuations
time (
m
s)
time (
m
s)
μ
SR in magnetic materials
inhomogeneousSlide27
Magnetization experiments
Tranquada et. al., PRB 78, 174529 (2008). Li et. al., PRL 99, 067001 (2007).Z. Guguchia et al., New Journal of Physics 15, 093005 (2013)
.
Z. Guguchia
et al.
,
Phys. Rev.
Lett. (2014).Slide28
Magnetization experiments
Tranquada et. al., PRB 78, 174529 (2008). Li et. al., PRL 99, 067001 (2007).Slide29
Isotope effect on Tc in La1.875Ba0.125
CuO4 Z. Guguchia et al., Phys. Rev. Lett. (2014).Slide30
Oxygen Isotope effect on Tso
Z. Guguchia et al., Phys. Rev. Lett. (2014).Slide31
Oxygen Isotope effect on
Tso Z. Guguchia et al., Phys. Rev. Lett. (2014).Slide32
G.M. Luke et. al., Physica C
185-9, 1175 (1991).B. Nachumi et. al., PRB 58, 8760 (1998).Oxygen Isotope effect on Tso
Z. Guguchia
et al.
,
Phys. Rev. Lett. (2014).Slide33
+Slide34
OIE effect on Tso and magnetic fraction Vm
Z. Guguchia et al., Phys. Rev. Lett. (2014).Slide35
Summary of the OIE studies on La1.875Ba0.125CuO4
Give evidence for stripe-lattice coupling in cuprates.Superconductivity and stripe order are competing phenomena.Slide36
Pressure experiments with SQUID and µSR
Z. Guguchia et al., New Journal of Physics 15, 093005 (2013).
SQUID (
Maisuradze
and Guguchia)µSR
(R. Khasanov)Slide37
Pressure effect on static spin-stripe order in La1.875Ba0.125CuO4
Vsc(0) + Vm(0) ≈ 1
Z. Guguchia
et al.
, New Journal of Physics 15, 093005 (2013).Slide38
LTT structural phase under pressure
Hücker et al, PRL 104, 057004 (2010).Slide39
Pressure effect on the isotope effect inLBCO-1/8Slide40
Conclusions
Large negative OIE’s were observed on Tso and Vm in La2-xBaxCuO4 (x = 1/8).Oxygen-isotope shifts of Tc and TSO are sign reversed. Stripe order and superconductivity are competing orders.
The electron-lattice interaction is involved in the stripe formation and is a crucial factor controlling the competition between the stripe order and superconductivity.
A purely electronic
mechanism can not explain the present isotope and pressure experiments!Slide41
Thank you very much
for your attention!Slide42Slide43
Superconducting properties of La1.875Ba0.125CuO4
Diamond anvil cell for high-pressure measurements.
Dr. A. Maisuradze, University of Zurich. Slide44Slide45
M. H
ücker et. al., PRL 104, 057004 (2010).Slide46
B. Nachumi
et. al., PRB 58, 8760 (1998).Slide47Slide48
T
LTO→LTT ≈ 50 K
T
HTT→LTO
≈ 200 KSlide49
La
2-xBaxCuO4 La1.8-xEu0.2SrxCuO4G.M. Luke et. al., Physica C 185-189, 1175-1176 (1991). M. Hücker et. al., Physica C 460-462, 170(2007).
LTT
LTOSlide50