nodal-antinodal quasiparticle anisotropy reversal in...
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Andrea DamascelliDepartment of Physics & Astronomy
University of British ColumbiaVancouver, B.C.
Nodal-antinodal quasiparticle anisotropy reversal in the overdoped high-Tc cuprates
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ARPES on Tl2Ba2CuO6+δ: Collaborators
l ARPES at UBC:M. Platé, J. Mottershead, S. Hossain, C. Veenstra, R. Wicks,B. Wu, K. Nguyen, K. Guenter, T. Roth, N. Ingle, A. Damascelli
l Band Structure Calculations:Ilya Elfimov
l Samples:Tl2Ba2CuO6+δ
D. Peets, Ruixing Liang, D.A. Bonn, W.N. Hardy
l ARPES Experiments:Swiss Light Source – SIS Beamline
S. Chiuzbaian, M. Falub, M. Shi, L. Patthey
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SuperconductivityHigh-Temperature Superconductors
A. Mackenzie et al., PRB 53, 5848 (1996)
Tl2Ba2CuO6+δ
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SuperconductivityWhy Tl2Ba2CuO6+δ ?
Tl2Ba2CuO6+δ : ideal HTSC material
• Single CuO2 plane material
• Very high transition: Tc(opt)=93K
• No additional CuO chains• No structural distortions
• Low cation disorder (T/O structure)
• SC gap (Tsuei et al., Nature 1997)
• (π,π) resonant mode (He et al., Science 2002)
• FS from AMRO (Hussey et al., Nature 2003)
22 yxd
−
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SuperconductivityOrthorhombic vs. Tetragonal Tl2Ba2CuO6+δ
l High-quality single crystals:
Orthorhombic Tl2201 grown by self-flux method
D. Peets, Ruixing Liang, D.A. Bonn, W.N. Hardy
Tetragonal (a=3.865Å; c=23.247Å)
Orthorhombic (a=5.458Å; b=5.485; c=23.201Å) Peets et al., cond-mat/0609250 (2006)
∆T=4KOrtho
∆T=0.7KTetra
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Swiss Light Source – SIS Beamline
l ARPES Experiments:
Surface and Interface Spectroscopy Beamline
S. Chiuzbaian, M. Falub, M. Shi, L. Patthey
• Twin Undulator
• MonochromatorEnergy Range: 10-800 eVPolarization: circular/planar
• ARPESDetector: SES2002 E/∆E>104 ; ∆k=0.3ºLow T: 10-300Kspot size: 20x20 µm2
• Spin resolved ARPES
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ARPES: The One-Particle Spectral Function
Σ(k,ω) : the “self-energy” captures the effects of interactions
Photoemission intensity: I(k,ω)=I0 |M(k,ω)|2f(ω) A(k,ω)
Single-particle spectral function
A. Damascelli, Z. Hussain, Z.-X Shen, Rev. Mod. Phys. 75, 473 (2003)
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Tl2201: Low energy electronic structure
G
X
N
G
X
N
Elfimov (2004)
Tl3+:Ba2+:Cu2+:O2- in ratios 2:2:1:6
Charge Transfer Insulator
Hussey et al, Nature 425, 814 (2004)
Tc=20K
• Cu-Tl substitutionAdditional hole-doping
• Short Tl-O distanceCuO band not ½ filled
Tl2201: Optimally Doped SC
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Tl2201 : ARPES Results
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LDA
Hussey et al, Nature 425, 814 (2004)
AMROARPES
63%p=0.26/Cu
62%p=0.24/Cu
Tl2201 : Fermi Surface Volume
Hole FS volume
63%p=0.26/Cu
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LDA
Hussey et al, Nature 425, 814 (2004)
AMROARPES
63%p=0.26/Cu
62%p=0.24/Cu
Tl2201 : Fermi Surface Volume
Hole FS volume
63%p=0.26/Cu
Tight binding FS fit
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A
N
Non-interacting
ARPES on Tl2Ba2CuO6+δ
(0,0)
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A
N
Tl2201: Lineshape evolution around FS
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A
N
Tl2201: Lineshape evolution around FS
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A
N
Tl2201: Lineshape evolution around FS
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A
N
Tl2201: Lineshape evolution around FS
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A
N
Tl2201: Lineshape evolution around FS
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FS and Pseudogap in Underdoped Cuprates
ARPES on Ca2-xNaxCuO2Cl2
K.M. Shen et al., Science 307, 901 (2005)
A
N
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Nodal-Antinodal Anisotropy in the Cuprates
Quasiparticle anisotropy reversal
Across optimal doping
Tl2201
Platé, Mottershead, Damascelli et al., PRL 95, 077001 (2005)Peets, Mottershead, Damascelli et al., NJP 9, 28 (2007)
Na-CCOC
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Tl2Ba2CuO6+δ : ARPES Results
OverDoped-30K; Tc=1/3·Tc,maxOverDoped-63K; Tc=2/3·Tc,max
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Polar AMRO in overdoped Tl2201 (Tc = 15K)
*meB
cτ
τω = All other parametersunchanged
Changing B Changing T (τ)
Ditto
Changing T (τ)
( )φατωτω
4cos111
00
+=c
Courtesy of Nigel Hussey
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( ) φτωα
τωα
φατω
2cos2
1
4cos11 2
000000
+−
=+
Γ
1/ωcτ(φ)
Origin of T-linear resistivity and RH(T) due to additional scattering
that is maximal at (π, 0) & increases linearly with T
Courtesy of Nigel Hussey
Γ(T) at the nodes Additional scattering along (π,0)
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Abdel-Jawad, Hussey et al., Nature Physics (2006)
1/ωcτ(φ) = [a+bT2] + [cT]AMRO:
Γ(T)isotrpicon FS
Additionalscatteringalong (π,0)
What does ARPES probe?
• Resolution broadening
• Residual Kz dispersion
• Impurity scattering
Tl2201: Anisotropic Electronic Scattering?
Anisotropy reversal:Are the Tl2201 ARPES dataconsistent with AMRO results
in overdoped cuprates?
SC
NS
• Impurity scattering
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T-dependent Coherent Enhancement at Antinodes
Zhu, Hirschfeld, Scalapino, PRB 2004
Small-Angle Elastic Scattering
Antinode
Node
Unitary Limit beyond Born Appr.
Wakabayashi, Rice, Sigrist, PRB 2006
Antinode
Node
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Bi2212: Quasiparticle Interference at High Overdoping
• Nodal (low energy) quasiparticle interference signals no longer visible
• Consistent with decoherence of nodal states
• Antinodal (near gap energy) interference signal is dominated by scattering between (0,±p ) and (±p ,0)
• Consistent with Van Hove singularity crossing the Fermi surface
Slezak and Davis, 2006
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Time-resolved Photoinduced Reflectivity
N. Gedik et al., PRL 95, 117005 (2005)
Abrupt transition in QP dymanics
Across optimal doping
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Quasiparticle Anisotropy Reversal: Implications
Anomalous Metal?
Competing Phases?Small q-vector fluctuations?Competing dx -y +idxy SC state?
Vojta, Zhang, Sachdev
PRL 85, 4940 (2000)2 2
Carrier Doping (x)
Many quantities change abruptly beyond x=0.2
l Electronic Specific Heat(Loram, JPCS 2001)
l Muon Spin Relaxation(Panagopoulos, SSC 2003)
l Low-T Hall Number(Boebinger, 2006)
l ARPES: QP lifetime(Plate, Mottershead, Damascelli, PRL 2005)
l Optical Conductivity(Molegraaf, van der Marel, Science, 2002; Gedik, Orenstein, PRL 2005; Ma, Wang, PRB 2006)
l Scanning Tunneling Microscopy(Slezak and Davis, 2006)
Competing Ferromagnetism?Kopp, Ghosal, Chakravarty
cond-mat/0606431
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ARPES on Tl2201: Conclusions
Normal StateFermi Surface
QuasiparticleAnisotropy Reversal
Platé, Mottershead, Damascelli et al., PRL 95, 077001 (2005)Peets, Mottershead, Damascelli et al., NJP 9, 28 (2007)