DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Charge Correlations in Cuprate Superconductors

Journal Article · · Annual Review of Condensed Matter Physics
 [1];  [2]
  1. University of Bristol (United Kingdom)
  2. Brookhaven National Laboratory (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Division

High-temperature superconductivity, with transition temperatures up to ≈134 K at ambient pressure, occurs in layered cuprate compounds. The conducting CuO2 planes, which are universally present, are responsible for the superconductivity but also show a disposition to other competing states including spin and charge order. Charge-density-wave (CDW) order appears to be a universal property of cuprate superconductors. It has been studied via a multitude of probes including X-ray and neutron scattering, nuclear magnetic resonance, scanning probe techniques, electronic transport, and quantum oscillations. Here, we review the microscopic properties of the CDW order. We discuss the nature of the ordered state, that is, its symmetry and microscopic structure. Furthermore, we show how the CDW order is related to quenched disorder, host structure, symmetry breaking perturbations, and magnetic fields. Here, we also describe measurements of dynamic collective charge excitations that are closely related to the quasi-static CDW order. Finally, we highlight some of the debated issues in the field, including the origin of the CDW order, the relationship to spin order, and the nature of the spatial CDW correlations.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
SC0012704
OSTI ID:
2267556
Report Number(s):
BNL--225134-2023-JAAM
Journal Information:
Annual Review of Condensed Matter Physics, Journal Name: Annual Review of Condensed Matter Physics Journal Issue: 1 Vol. 15; ISSN 1947-5454
Publisher:
Annual ReviewsCopyright Statement
Country of Publication:
United States
Language:
English

References (126)

VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data journal October 2011
Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high- T c superconductor journal August 2019
Normal-state charge transport in YBa2Cu3O6.67 under uniaxial stress journal December 2022
Ambipolar Nernst Effect in N b S e 2 journal August 2003
Study of an Ising model with competing long- and short-range interactions journal March 1994
Density Matrix Renormalization Group Study of the Striped Phase in the 2D t − J Model journal February 1998
Emergence of charge order from the vortex state of a high-temperature superconductor journal July 2013
Structure of charge density waves in La1.875Ba0.125CuO4 journal March 2023
Charge density waves in cuprate superconductors beyond the critical doping journal March 2021
Impact of Quenched Oxygen Disorder on Charge Density Wave Order in YBa 2 Cu 3 O 6 + x journal September 2014
Uniaxial pressure control of competing orders in a high-temperature superconductor journal November 2018
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x journal July 2012
Magnetic field–induced pair density wave state in the cuprate vortex halo journal June 2019
Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates journal December 2014
Unveiling Unequivocal Charge Stripe Order in a Prototypical Cuprate Superconductor journal May 2022
Extent of Fermi-surface reconstruction in the high-temperature superconductor HgBa 2 CuO 4+ δ journal April 2020
Parallel spin stripes and their coexistence with superconducting ground states at optimal and high doping in La 1.6 − x Nd 0.4 Sr x CuO 4 journal May 2021
Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy journal September 2011
Orbital symmetry of charge-density-wave order in La1.875Ba0.125CuO4 and YBa2Cu3O6.67 journal February 2016
The pseudogap in high-temperature superconductors: an experimental survey journal January 1999
Neutron scattering study of spin ordering and stripe pinning in superconducting La 1.93 Sr 0.07 CuO 4 journal November 2015
Quantum Theory of the Electron Liquid book August 2012
Inelastic X-ray scattering in YBa2Cu3O6.6 reveals giant phonon anomalies and elastic central peak due to charge-density-wave formation journal November 2013
Neutron scattering studies on stripe phases in non-cuprate materials journal November 2012
A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+delta journal January 2002
Spectroscopic fingerprint of charge order melting driven by quantum fluctuations in a cuprate journal August 2020
Vanishing nematic order beyond the pseudogap phase in overdoped cuprate superconductors journal August 2021
Doping dependence of the spatially modulated dynamical spin correlations and the superconducting-transition temperature in La 2 − x Sr x CuO 4 journal March 1998
Evidence for stripe correlations of spins and holes in copper oxide superconductors journal June 1995
Ideal charge-density-wave order in the high-field state of superconducting YBCO journal December 2016
Fate of charge order in overdoped La-based cuprates journal January 2023
Inelastic x-ray study of phonon broadening and charge-density wave formation in ortho-II-ordered YBa 2 Cu 3 O 6.54 journal August 2013
Stripe order in superconducting La 2 − x Ba x CuO 4 ( 0 . 095 ⩽ x ⩽ 0 . 155 ) journal March 2011
Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa 2 Cu 3 O 6 + δ journal March 2016
Detection of Acoustic Plasmons in Hole-Doped Lanthanum and Bismuth Cuprate Superconductors Using Resonant Inelastic X-Ray Scattering journal December 2020
ISODISPLACE : a web-based tool for exploring structural distortions journal July 2006
Re-entrant charge order in overdoped (Bi,Pb)2.12Sr1.88CuO6+δ outside the pseudogap regime journal June 2018
Charge-density waves and superlattices in the metallic layered transition metal dichalcogenides journal March 1975
Orbital symmetries of charge density wave order in YBa 2 Cu 3 O 6+ x journal November 2020
Synchrotron x-ray scattering study of charge-density-wave order in HgBa 2 CuO 4 + δ journal October 2017
Competing States in the t - J Model: Uniform d -Wave State versus Stripe State journal July 2014
Electron–phonon coupling reflecting dynamic charge inhomogeneity in copper oxide superconductors journal April 2006
Evidence for unusual superconducting correlations coexisting with stripe order in La 1.875 Ba 0.125 CuO 4 journal November 2008
Lifshitz critical point in the cuprate superconductor YBa 2 Cu 3 O y from high-field Hall effect measurements journal February 2011
Landau theory of charge-density waves in transition-metal dichalcogenides journal August 1975
Persistent low-energy phonon broadening near the charge-order q vector in the bilayer cuprate Bi 2 Sr 2 CaCu 2 O 8 + δ journal July 2018
Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields journal November 2015
Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor journal May 2007
Fluctuating stripes at the onset of the pseudogap in the high-Tc superconductor Bi2Sr2CaCu2O8+x journal December 2010
Distinguishing patterns of charge order: Stripes or checkerboards journal October 2006
Three-dimensional collective charge excitations in electron-doped copper oxide superconductors journal October 2018
Multiple Quantum Oscillations in the de Haas–van Alphen Spectra of the Underdoped High-Temperature Superconductor YBa 2 Cu 3 O 6.5 journal October 2009
Oxygen phonon branches in YBa 2 Cu 3 O 7 journal June 2004
Symmetry of charge order in cuprates journal May 2015
Universal quantum oscillations in the underdoped cuprate superconductors journal November 2013
Single reconstructed Fermi surface pocket in an underdoped single-layer cuprate superconductor journal July 2016
The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond journal March 2020
Dynamical charge density waves rule the phase diagram of cuprates journal June 2017
Spatially modulated 'Mottness' in La2-xBaxCuO4 journal December 2005
Resonant X-Ray Scattering Studies of Charge Order in Cuprates journal March 2016
Remarkable Stability of Charge Density Wave Order in La 1.875 Ba 0.125 CuO 4 journal October 2016
Charge density wave memory in a cuprate superconductor journal March 2019
The Hubbard Model journal November 2021
Explaining the pseudogap through damping and antidamping on the Fermi surface by imaginary spin scattering journal December 2022
Fermi surface reconstruction and quantum oscillations in underdoped YBa 2 Cu 3 O 7 − x modeled in a single bilayer with mirror symmetry broken by charge density waves journal March 2016
Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy journal March 2015
Magnetism in La2CuO4 based compounds journal April 1989
From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
The microscopic structure of charge density waves in underdoped YBa2Cu3O6.54 revealed by X-ray diffraction journal December 2015
Reduced Hall carrier density in the overdoped strange metal regime of cuprate superconductors journal March 2021
Antiphase stripe order as the origin of electron pockets observed in 1/8-hole-doped cuprates journal December 2007
Charge density waves and Fermi surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+δ journal January 2022
Periodic density-of-states modulations in superconducting Bi 2 Sr 2 CaCu 2 O 8 + δ journal January 2003
Competing charge, spin, and superconducting orders in underdoped YBa 2 Cu 3 O y journal August 2014
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x journal May 2016
Spin fluctuations associated with the collapse of the pseudogap in a cuprate superconductor journal November 2022
Commensurate 4 a 0 -period charge density modulations throughout the Bi 2 Sr 2 CaCu 2 O 8+x pseudogap regime journal October 2016
Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors journal November 2017
Hard–X-ray diffraction study of charge stripe order in La 1.48 Nd 0.4 Sr 0.12 CuO 4 journal March 1998
Locally commensurate charge-density wave with three-unit-cell periodicity in YBa2Cu3Oy journal June 2021
Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa 2 Cu 3 O 6 + x journal January 2001
Domain walls in a doped antiferromagnet journal January 1989
Fermi surface reconstruction by a charge density wave with finite correlation length journal July 2019
Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates journal September 2017
X-Ray Diffraction Observations of a Charge-Density-Wave Order in Superconducting Ortho-II YBa 2 Cu 3 O 6.54 Single Crystals in Zero Magnetic Field journal March 2013
Stabilization of three-dimensional charge order in YBa2Cu3O6+x via epitaxial growth journal July 2018
Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates journal July 2014
Evidence for a vestigial nematic state in the cuprate pseudogap phase journal June 2019
Extended Phonon Collapse and the Origin of the Charge-Density Wave in 2 H − NbSe 2 journal September 2011
Single-domain stripe order in a high-temperature superconductor journal November 2022
Fermi surface nesting and the origin of charge density waves in metals journal April 2008
Theory of discommensurations and the commensurate-incommensurate charge-density-wave phase transition journal August 1976
Fermi surface and electronic homogeneity of the overdoped cuprate superconductor Tl 2 Ba 2 CuO 6 + δ as revealed by quantum oscillations journal October 2010
The influence of many-body interactions on the de Haas-van Alphen effect journal December 1996
Stripe order, depinning, and fluctuations in La 1.875 Ba 0.125 CuO 4 and La 1.875 Ba 0.075 Sr 0.050 CuO 4 journal September 2004
A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2 journal August 2004
Protected Nodal Electron Pocket from Multiple- Q Ordering in Underdoped High Temperature Superconductors journal May 2011
An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates journal March 2007
Spin anisotropy of the magnetic excitations in the normal and superconducting states of optimally doped YBa 2 Cu 3 O 6.9 studied by polarized neutron spectroscopy journal September 2011
Electronic crystals: an experimental overview journal August 2012
Charge density wave fluctuations in La 2 − x Sr x CuO 4 and their competition with superconductivity journal June 2014
Generic character of charge and spin density waves in superconducting cuprates journal April 2022
Direct measurement of the upper critical field in cuprate superconductors journal February 2014
Comment on "Broken translational and rotational symmetry via charge stripe order in underdoped YBa2Cu3O6+y" journal January 2016
Fragile charge order in the nonsuperconducting ground state of the underdoped high-temperature superconductors journal July 2015
Spin-Stripe Density Varies Linearly With the Hole Content in Single-Layer Bi 2 + x Sr 2 − x CuO 6 + y Cuprate Superconductors journal January 2013
Colloquium : Theory of intertwined orders in high temperature superconductors journal May 2015
63 Cu NQR Evidence for Spatial Variation of Hole Concentration in La 2 − x Sr x CuO 4 journal January 2002
Singular Quasiparticle Scattering in the Proximity of Charge Instabilities journal December 1995
Hypothesis of two-dimensional stripe arrangement and its implications for the superconductivity in high- T c cuprates journal December 2004
Observation of two types of charge-density-wave orders in superconducting La2-xSrxCuO4 journal July 2019
Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state journal October 2015
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 journal October 2012
Signature of quantum criticality in cuprates by charge density fluctuations journal November 2023
Long-range order and pinning of charge-density waves in competition with superconductivity journal December 2015
Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La 1.875 Ba 0.125 CuO 4 journal August 2007
X-ray scattering study of charge density waves in La 2 − x Ba x CuO 4 journal February 2008
Microscopic evidence for strong periodic lattice distortion in two-dimensional charge-density wave systems journal April 2014
Progress in Neutron Scattering Studies of Spin Excitations in High- T c Cuprates journal January 2012
Intertwined spin, charge, and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit journal February 2022
Crystal symmetry of stripe-ordered La1.88Sr0.12CuO4 journal June 2022
Charged magnetic domain lines and the magnetism of high- T c oxides journal October 1989
Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor journal March 2015
Rotated stripe order and its competition with superconductivity in La 1.88 Sr 0.12 CuO 4 journal September 2014
Resonant x-ray scattering study of charge-density wave correlations in YBa 2 Cu 3 O 6 + x journal August 2014
Visualizing the charge density wave transition in 2 H - NbSe 2 in real space journal June 2014