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Title: Temperature-Dependent Ellipsometry Measurements of Partial Coulomb Energy in Superconducting Cuprates

Abstract

Here we performed an experimental study of the temperature and doping dependence of the energy-loss function of the bilayer and trilayer bismuth cuprates family. The primary aim is to obtain information on the energy stored in the Coulomb interaction between the conduction electrons, on the temperature dependence thereof, and on the change of Coulomb interaction when Cooper pairs are formed. We performed temperature-dependent ellipsometry measurements on several Bi2Sr2CaCu2O8₋x single crystals: underdoped with Tc=60, 70, and 83 K; optimally doped with Tc=91 K; overdoped with Tc=84, 81, 70, and 58 K; as well as optimally doped Bi2Sr2Ca2Cu3O10+x with Tc=110 K. Our first observation is that, as the temperature drops through Tc, the loss function in the range up to 2 eV displays a change of temperature dependence as compared to the temperature dependence in the normal state. This effect at—or close to—Tc depends strongly on doping, with a sign change for weak overdoping. The size of the observed change in Coulomb energy, using an extrapolation with reasonable assumptions about its q dependence, is about the same size as the condensation energy that has been measured in these compounds. Our results therefore lend support to the notion that the Coulomb energy ismore » an important factor for stabilizing the superconducting phase. Lastly, because of the restriction to small momentum, our observations do not exclude a possible significant contribution to the condensation energy of the Coulomb energy associated with the region of q around (π,π).« less

Authors:
; ; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States); Energy Frontier Research Centers (EFRC) (United States). Center for Emergent Superconductivity (CES)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Swiss National Science Foundation (SNSF)
OSTI Identifier:
1305439
Alternate Identifier(s):
OSTI ID: 1336224
Report Number(s):
BNL-113255-2016-JA
Journal ID: ISSN 2160-3308; PRXHAE; 031027
Grant/Contract Number:  
SC00112704; AC02-07CH11358; SC0012704; AC02-98CH10886
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Name: Physical Review. X Journal Volume: 6 Journal Issue: 3; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Levallois, J., Tran, M. K., Pouliot, D., Presura, C. N., Greene, L. H., Eckstein, J. N., Uccelli, J., Giannini, E., Gu, G. D., Leggett, A. J., and van der Marel, D. Temperature-Dependent Ellipsometry Measurements of Partial Coulomb Energy in Superconducting Cuprates. United States: N. p., 2016. Web. doi:10.1103/PhysRevX.6.031027.
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Levallois, J., Tran, M. K., Pouliot, D., Presura, C. N., Greene, L. H., Eckstein, J. N., Uccelli, J., Giannini, E., Gu, G. D., Leggett, A. J., & van der Marel, D. Temperature-Dependent Ellipsometry Measurements of Partial Coulomb Energy in Superconducting Cuprates. United States. https://doi.org/10.1103/PhysRevX.6.031027
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Levallois, J., Tran, M. K., Pouliot, D., Presura, C. N., Greene, L. H., Eckstein, J. N., Uccelli, J., Giannini, E., Gu, G. D., Leggett, A. J., and van der Marel, D. Wed . "Temperature-Dependent Ellipsometry Measurements of Partial Coulomb Energy in Superconducting Cuprates". United States. https://doi.org/10.1103/PhysRevX.6.031027.
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@article{osti_1305439,
title = {Temperature-Dependent Ellipsometry Measurements of Partial Coulomb Energy in Superconducting Cuprates},
author = {Levallois, J. and Tran, M. K. and Pouliot, D. and Presura, C. N. and Greene, L. H. and Eckstein, J. N. and Uccelli, J. and Giannini, E. and Gu, G. D. and Leggett, A. J. and van der Marel, D.},
abstractNote = {Here we performed an experimental study of the temperature and doping dependence of the energy-loss function of the bilayer and trilayer bismuth cuprates family. The primary aim is to obtain information on the energy stored in the Coulomb interaction between the conduction electrons, on the temperature dependence thereof, and on the change of Coulomb interaction when Cooper pairs are formed. We performed temperature-dependent ellipsometry measurements on several Bi2Sr2CaCu2O8₋x single crystals: underdoped with Tc=60, 70, and 83 K; optimally doped with Tc=91 K; overdoped with Tc=84, 81, 70, and 58 K; as well as optimally doped Bi2Sr2Ca2Cu3O10+x with Tc=110 K. Our first observation is that, as the temperature drops through Tc, the loss function in the range up to 2 eV displays a change of temperature dependence as compared to the temperature dependence in the normal state. This effect at—or close to—Tc depends strongly on doping, with a sign change for weak overdoping. The size of the observed change in Coulomb energy, using an extrapolation with reasonable assumptions about its q dependence, is about the same size as the condensation energy that has been measured in these compounds. Our results therefore lend support to the notion that the Coulomb energy is an important factor for stabilizing the superconducting phase. Lastly, because of the restriction to small momentum, our observations do not exclude a possible significant contribution to the condensation energy of the Coulomb energy associated with the region of q around (π,π).},
doi = {10.1103/PhysRevX.6.031027},
journal = {Physical Review. X},
number = 3,
volume = 6,
place = {United States},
year = {Wed Aug 24 00:00:00 EDT 2016},
month = {Wed Aug 24 00:00:00 EDT 2016}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevX.6.031027
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Cited by: 23 works
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Figures / Tables:

FIG. 1 FIG. 1: S–N difference of the partial Coulomb energy $E^{C}_{q}$ . Left: According to the MIR scenario (schematic). Right: Resulting from a BCS model calculation for d-wave symmetry, p = 0.16 hole doping, and the interaction adjusted such as to give Tc = 100 K. Both panels represent the qzmore » = 0 cut in momentum space, corresponding to electric field polarized along the planes. $E^{C}_{q}$ at q = 0 corresponds to the integral (Eq. (1)) of the optical in-plane loss-function.« less
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Works referenced in this record:

Cuprate Superconductivity: Dependence of T c on the c -Axis Layering Structure
journal, July 1999

Quantitative test of a microscopic mechanism of high-temperature superconductivity
journal, December 1998

  • Demler, Eugene; Zhang, Shou-Cheng
  • Nature, Vol. 396, Issue 6713
  • DOI: 10.1038/25482

The electronic specific heat of cuprate superconductors
journal, December 1994

In-plane optical spectral weight transfer in optimally doped Bi 2 Sr 2 Ca 2 Cu 3 O 10
journal, July 2006

Generic superconducting phase behavior in high- T c cuprates: T c variation with hole concentration in YBa 2 Cu 3 O 7 − δ
journal, May 1995

Point nodes persisting far beyond Tc in Bi2212
journal, July 2015

  • Kondo, Takeshi; Malaeb, W.; Ishida, Y.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8699

Correlation effects on the oscillator strength of optical absorption: Sum rule for the one-dimensional Hubbard model
journal, May 1986

The condensation energy and pseudogap energy scale of Bi:2212 from the electronic specific heat
journal, November 2000

Competing charge, spin, and superconducting orders in underdoped YBa 2 Cu 3 O y
journal, August 2014

Resonant x-ray scattering study of charge-density wave correlations in YBa 2 Cu 3 O 6 + x
journal, August 2014

Field-Enhanced Diamagnetism in the Pseudogap State of the Cuprate Bi 2 Sr 2 Ca Cu 2 O 8 + δ Superconductor in an Intense Magnetic Field
journal, December 2005

Quantum cluster theories
journal, October 2005

Emergence of charge order from the vortex state of a high-temperature superconductor
journal, July 2013

  • Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3113

Growth and characterization of Bi 2 Sr 2 Ca 2 Cu 3 O 10 and (Bi,Pb) 2 Sr 2 Ca 2 Cu 3 O 10   single crystals
journal, December 2003

  • Giannini, E.; Garnier, V.; Gladyshevskii, R.
  • Superconductor Science and Technology, Vol. 17, Issue 1
  • DOI: 10.1088/0953-2048/17/1/037

Disentangling Cooper-pair formation above the transition temperature from the pseudogap state in the cuprates
journal, December 2010

  • Kondo, Takeshi; Hamaya, Yoichiro; Palczewski, Ari D.
  • Nature Physics, Vol. 7, Issue 1
  • DOI: 10.1038/nphys1851

A "midinfrared" scenario for cuprate superconductivity
journal, July 1999

Fluctuating stripes at the onset of the pseudogap in the high-Tc superconductor Bi2Sr2CaCu2O8+x
journal, December 2010

  • Parker, Colin V.; Aynajian, Pegor; da Silva Neto, Eduardo H.
  • Nature, Vol. 468, Issue 7324
  • DOI: 10.1038/nature09597

Optical evidence for strong anisotropy in the normal and superconducting states in Bi 2 Sr 2 CaCu 2 O 8 + z
journal, December 1993

Electron Interaction in Solids. Characteristic Energy Loss Spectrum
journal, March 1959

Collective modes of spin, density, phase, and amplitude in exotic superconductors
journal, January 1995

Polarized infrared reflectivity study of an oriented ceramic of Bi 2 Sr 2 Ca 2 Cu 3 O 10 + δ (Bi-2223)
journal, February 2002

  • Petit, N.; Garnier, V.; Ta Phuoc, V.
  • The European Physical Journal B, Vol. 25, Issue 4
  • DOI: 10.1140/epjb/e20020048

Apparent violation of the conductivity sum rule in certain superconductors
journal, September 1992

NMR study of carrier distribution and superconductivity in multilayered high-Tc cuprates
journal, January 2001

Optical spectrum of a Hubbard chain
journal, September 1977

Enhanced Superconducting Gaps in the Trilayer High-Temperature Bi 2 Sr 2 Ca 2 Cu 3 O 10 + δ Cuprate Superconductor
journal, June 2010

Optical integral in the cuprates and the question of sum-rule violation
journal, December 2007

Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy
journal, September 2011

  • Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen
  • Nature, Vol. 477, Issue 7363
  • DOI: 10.1038/nature10345

Difference between Normal and Superconducting States of a Metal
journal, September 1956

Anomalies in the infrared spectra of underdoped Bi 2 Sr 2 Ca Cu 2 O z as evidence for the intrabilayer Josephson effect
journal, January 2001

An organizing principle for two-dimensional strongly correlated superconductivity
journal, March 2016

  • Fratino, L.; Sémon, P.; Sordi, G.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep22715

Insulator, metal, or superconductor: The criteria
journal, April 1993

  • Scalapino, Douglas J.; White, Steven R.; Zhang, Shoucheng
  • Physical Review B, Vol. 47, Issue 13
  • DOI: 10.1103/PhysRevB.47.7995

Condensation energy and high- T c superconductivity
journal, October 2002

Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010

  • Lawler, M. J.; Fujita, K.; Lee, Jhinhwan
  • Nature, Vol. 466, Issue 7304
  • DOI: 10.1038/nature09169

Electron energy-loss studies of high- T c superconductors YBa 2 Cu 3 O 7- x and Bi 2 Sr 2 CaCu 2 O 8
journal, April 1990

Fluctuations and critical temperature reduction in cuprate superconductors
journal, March 2011

Kinetic energy change with doping upon superfluid condensation in high-temperature superconductors
journal, September 2005

  • Deutscher, Guy; Santander-Syro, Andrés Felipe; Bontemps, Nicole
  • Physical Review B, Vol. 72, Issue 9
  • DOI: 10.1103/PhysRevB.72.092504

Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+δ
journal, May 2007

  • Gomes, Kenjiro K.; Pasupathy, Abhay N.; Pushp, Aakash
  • Nature, Vol. 447, Issue 7144
  • DOI: 10.1038/nature05881

The doping dependence of T* – what is the real high-Tc phase diagram?
journal, January 2001

Collective modes of the extended Hubbard model with negative U and arbitrary electron density
journal, November 1992

Kinetic Energy Driven Pairing in Cuprate Superconductors
journal, January 2004

Evidence for Intra-Unit-Cell magnetic order in the pseudo-gap state of high-T c cuprates
journal, July 2013

Transverse optical plasmons in layered superconductors
journal, June 1996

  • van der Marel, D.; Tsvetkov, A.
  • Czechoslovak Journal of Physics, Vol. 46, Issue S6
  • DOI: 10.1007/BF02548125

The plasmon density of states of a layered electron gas
journal, September 1993

  • Morawitz, H.; Bozovic, I.; Kresin, V. Z.
  • Zeitschrift für Physik B Condensed Matter, Vol. 90, Issue 3
  • DOI: 10.1007/BF01433048

Global and local measures of the intrinsic Josephson coupling in Tl2Ba2CuO6 as a test of the interlayer tunnelling model
journal, September 1998

  • Tsvetkov, A. A.; van der Marel, D.; Moler, K. A.
  • Nature, Vol. 395, Issue 6700
  • DOI: 10.1038/26439

Random-Phase Approximation in the Theory of Superconductivity
journal, December 1958

Electronic specific heat of YBa 2 Cu 3 O 6 + x from 1.8 to 300 K
journal, September 1993

Superconductivity-Induced Transfer of In-Plane Spectral Weight in Bi2Sr2CaCu2O8+delta
journal, March 2002

Electrodynamics of a layered electron gas. II. Periodic array
journal, November 1974

Approximate solution of ellipsometric equations for optically biaxial crystals
journal, January 1980

Particle–hole symmetry breaking in the pseudogap state of Bi2201
journal, April 2010

  • Hashimoto, Makoto; He, Rui-Hua; Tanaka, Kiyohisa
  • Nature Physics, Vol. 6, Issue 6
  • DOI: 10.1038/nphys1632

Optical conductivity and kinetic energy of the superconducting state: A cluster dynamical mean field study
journal, January 2007

WHERE is the energy saved in cuprate superconductivity?
journal, October 1998

Charge density wave fluctuations in La 2 − x Sr x CuO 4 and their competition with superconductivity
journal, June 2014

Theory of a Superfluid Fermi Liquid. I. General Formalism and Static Properties
journal, December 1965

Doping dependence of the redistribution of optical spectral weight in Bi 2 Sr 2 CaCu 2 O 8 + δ
journal, August 2006

Large Bi-2212 single crystal growth by the floating-zone technique
journal, April 2008

Nernst effect in high- T c superconductors
journal, January 2006

Sum Rules and Interlayer Conductivity of High-Tc Cuprates
journal, January 1999

Superconducting condensation energy and an antiferromagnetic exchange-based pairing mechanism
journal, October 1998

Some Thoughts About Two Dimensionality and Cuprate Superconductivity
journal, December 2006

Energetics of superconductivity in the two-dimensional Hubbard model
journal, December 2012

Importance of phase fluctuations in superconductors with small superfluid density
journal, March 1995

  • Emery, V. J.; Kivelson, S. A.
  • Nature, Vol. 374, Issue 6521
  • DOI: 10.1038/374434a0

General trends in oxygen stoichiometry effects on Tc in Bi and Tl superconductors
journal, May 1991

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    Figures / Tables found in this record:

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