Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy

Abstract

Superconductivity often emerges in the proximity of, or in competition with, symmetry breaking ground states such as antiferromagnetism or charge density waves (CDW)1-5. A number of materials in the cuprate family, which includes the high-transition-temperature (high-Tc) superconductors, show spin and charge density wave order5-7. Thus a fundamental question is to what extent these ordered states exist for compositions close to optimal for superconductivity. Here we use high-energy x-ray diffraction to show that a CDW develops at zero field in the normal state of superconducting YBa2Cu3O6.67 (Tc = 67 K). Below Tc, the application of a magnetic field suppresses superconductivity and enhances the CDW. Hence, the CDW and superconductivity are competing orders in this typical high-Tc superconductor, and high-Tc superconductivity can form from a pre-existing CDW state. Our results explain observations of small Fermi surface pockets8, negative Hall and Seebeck effect9,10 and the "Tc plateau"11 in this material when underdoped.

Supplementary Information is available on request

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• Absence of superconducting dome at the charge-density-wave quantum phase transition in 2H-NbSe2
• Surface-enhanced charge-density-wave instability in underdoped Bi2201
• Evidence of a short-range incommensurate $d$-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• Quantum oscillation signatures of nodal spin-orbit coupling in underdoped bilayer high Tc cuprates
• Energy-dependent spatial texturing of the charge order in $1T$-Cu${}_x$TiSe${}_2$
• Charge density wave and large non-saturating magnetoresistance in YNiC${}_2$ and LuNiC${}_2$
• Tunable non-Fermi liquid phase from coupling to two-level systems
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Significant change in the electronic behavior associated with structural distortions in the single crystalline SrAg4As2
• Confinement transition to density wave order in metallic doped spin liquids
• Spatially Inhomogeneous Competition between Superconductivity and the Charge Density Wave in YBa${}_2$Cu${}_3$O${}_{6.67}$
• Antiferromagnetism, charge density wave, and d-wave superconductivity in the extended $t$--$J$--$U$ model: role of intersite Coulomb interaction and a critical overview of renormalized mean field theory
• Characterization of photoinduced normal state through charge density wave in superconducting YBa${}_2$Cu${}_3$O${}_{6.67}$
• Nematicity in the pseudogap state of cuprate superconductors revealed by angle-resolved photoemission spectroscopy
• Symmetry of the charge density wave in cuprates
• CDW and similarity of the Mott-Insulator-to-Metal transition in cuprates with the gas to liquid-liquid transition in supercooled water
• Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates
• Anisotropic gapping of topological Weyl rings in the charge-density-wave superconductor InxTaSe2
• Dual structure in the charge excitation spectrum of electron-doped cuprates
• Charge order above room-temperature in a prototypical kagome superconductor La(Ru${}_{1-x}$Fe${}_x$)${}_3$Si${}_2$
• Prevailing charge order in overdoped cuprates beyond the superconducting dome
• Fate of charge order in overdoped La-based cuprates
• Inverse correlation between quasiparticle mass and Tc in a cuprate high-Tc superconductor
• Quantum oscillations in a bilayer with broken mirror symmetry: a minimal model for YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• On the relationship between charge ordering and the Fermi arcs observed in underdoped high Tc superconductors
• Holographic Maps of Quasiparticle Interference
• A Snapshot Review -- Fluctuations in Quantum Materials: From Skyrmions to Superconductivity
• Multiple Charge Density Wave States at the Surface of TbTe${}_3$
• Crystal Symmetry of Stripe Ordered La1.88Sr0.12CuO4
• Using Nonequilibrium Dynamics to Probe Competing Orders in a Mott-Peierls System
• Exploring Quasiparticles in High-Tc Cuprates Through Photoemission, Tunneling, and X-ray Scattering Experiments
• Spectroscopic Evidence of Low Energy Gaps Persisting Towards 120 Kelvin in Surface-Doped p-Terphenyl Crystals
• Identification of a Critical Doping for Charge Order Phenomena in Bi-2212 Cuprates via RIXS
• The photoinduced transition in magnetoresistive manganites: a comprehensive view
• Superconductivity-insensitive order at $q$~1/4 in electron doped cuprates
• Ubiquitous Charge Order Correlations in High-Temperature Superconducting Cuprates
• Coulomb enhancement of superconducting pair-pair correlations in a $\frac{3}{4}$-filled model for $\kappa$-(BEDT-TTF)${}_2$X
• Distinct nature of static and dynamic magnetic stripes in cuprate superconductors
• Electronic reconstruction forming a $C_2$-symmetric Dirac semimetal in Ca${}_3$Ru${}_2$O${}_7$
• Staggered Flux State in Two-Dimensional Hubbard Models
• Universal inhomogeneous magnetic-field response in the normal state of cuprate high-Tc superconductors
• Static Charge Density Wave Order in the Superconducting State of La2-xBaxCuO4
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• Quantum oscillations in a d-wave vortex liquid
• Phase-channel dynamics reveal the role of impurities and screening in a quasi-one-dimensional charge-density wave system
• Charge density wave and superconductivity competition in Lu${}_5$Ir${}_4$Si${}_{10}$ : a proton irradiation study
• Coexistence of ${\Theta }_{II}$-loop-current order with checkerboard d-wave CDW/PDW order in a hot-spot model for cuprate superconductors
• Competition between antiferromagnetic and charge density wave fluctuations in the extended Hubbard model
• Higgs Modes in the Pair Density Wave Superconducting State
• Dimensional crossover and symmetry transformation of the charge density waves in VSe2
• Phase fluctuations in two-dimensional superconductors and pseudogap phenomenon
• Anomalous relaxation kinetics and charge density wave correlations in underdoped BaPb1-xBixO3
• Large response of charge stripes to uniaxial stress in ${\text{La}}_{1.475}{\text{Nd}}_{0.4}{\text{Sr}}_{0.125}\text{Cu}{\text{O}}_4$
• Hall and Seebeck coefficients from bi-directional charge density wave state in high-$T_c$ cuprates
• Emergent Charge Order from Correlated Electron-Phonon Physics in Cuprates
• Untwinned YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films on MgO substrates: a platform to study strain effects on the local orders in cuprates
• Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-$T_c$ cuprates
• Spin-fermion model with overlapping hot spots and charge modulation in cuprates
• Testing for pair-density-wave order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Magnetic orders in the hole doped three-band Hubbard model: spin spirals, nematicity, and ferromagnetic domain walls
• Coincident onset of charge density wave order at a quantum critical point in underdoped YBCO
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Magnetostatics and optics of noncentrosymmetric metals
• Reemergeing electronic nematicity in heavily hole-doped Fe-based superconductors
• The pseudogap in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ is not bounded by a line of phase transitions - thermodynamic evidence
• Strong particle-hole asymmetry of charge instabilities in doped Mott insulators
• Instability towards Staggered Loop Currents in the Three-Orbital Model for Cuprate Superconductors
• Kinetics of excitations on the Fermi arcs in underdoped cuprates at low temperature
• Charge order from structured coupling in VSe${}_2$
• Pseudogap and (an)isotropic scattering in the fluctuating charge-density wave phase of cuprates
• Fragile charge order in the non-superconducting ground state of the underdoped high temperature superconductors
• Charge Ordering Geometries in Uniaxially-Strained NbSe${}_2$
• Impact of Oxygen Diffusion on Superconductivity in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin Films Studied by Positron Annihilation Spectroscopy
• Odd-frequency pair density wave correlations in underdoped cuprates
• Unconventional electronic order in a codoped high-Tc superconductor
• Measurement of spin dynamics in a layered nickelate using x-ray photon correlation spectroscopy: Evidence for intrinsic destabilization of incommensurate stripes at low temperatures
• Pseudogap-induced coexistence of Fermi arcs and Fermi pockets in cuprate superconductors
• Magnetic oscillations measure interlayer coupling in cuprate superconductors
• Selective interlayer ferromagnetic coupling between the Cu spins in YBa${}_2$ Cu${}_3$ O${}_{7-x}$ grown on top of La${}_{0.7}$ Ca${}_{0.3}$ MnO${}_3$
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Optical Enhancement of Superconductivity via Targeted Destruction of Charge Density Waves
• Protected superconductivity at the boundaries of charge-density-wave domains
• Kinks and waterfalls as signatures of competing order in angle-resolved photoemission spectra of La_{2-x}Sr_xCuO_4
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Tuning charge density wave order and structure via uniaxial stress in a stripe-ordered cuprate superconductor
• $d$-wave bond-order charge excitations in electron-doped cuprates
• Three energy scales in the superconducting state of hole-doped cuprates detected by electronic Raman scattering
• Role of a higher dimensional interaction in stabilizing charge density waves in quasi-1D NbSe${}_3$ revealed by angle-resolved photoemission spectroscopy
• Using strain to uncover the interplay between two- and three-dimensional charge density waves in high-temperature superconducting YBa${}_2$Cu${}_3$O${}_{\mathrm{y}}$
• The phase diagram of the underdoped cuprates at high magnetic field
• Magnetic and charge orders in the ground state of the Emery model -- accurate numerical results
• Clocking the Onset of Bilayer Coherence in a High-${\mathrm{T}}_{\mathrm{C}}$ Cuprate
• Modification of structural disorder by hydrostatic-pressure in superconducting YBa${}_2$Cu${}_3$O${}_{6.73}$ cuprate
• Doping dependence of charge order in electron-doped cuprate superconductors
• Incommensurate two-dimensional checkerboard charge density wave in the low dimensional superconductor Ta4Pd3Te16
• Controlling competing orders via non-equilibrium acoustic phonons: emergence of anisotropic electronic temperature
• Intrinsic Cluster-Shaped Density Waves in Cellular Dynamical Mean-Field Theory
• Bi-2212/1T-TaS${}_2$ Van der Waals junctions: Interplay of proximity induced high-$T_c$ superconductivity and CDW order
• The malleability of uranium: manipulating the charge-density wave in epitaxial films
• Evidence for weakly correlated oxygen holes in the highest-T${}_c$ cuprate superconductor HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Observation of a Three-Dimensional Quasi-Long-Range Electronic Supermodulation in YBa2Cu3O7-x/La0.7Ca0.3MnO3 Heterostructures
• Superfluid and Metamagnetic Phase Transitions in $\omega$-deformed Gauged Supergravity
• Charge-Stripe Order and Superconductivity in $\mathrm{I}{\mathrm{r}}_{1-\mathrm{x}}\mathrm{P}{\mathrm{t}}_{\mathrm{x}}\mathrm{T}{\mathrm{e}}_2$
• Observation of electronic bound states in charge-ordered YBa${}_2$Cu${}_3$O${}_y$
• Control of Competing Superconductivity and Charge Order by Non-equilibrium Currents
• Nematic fluctuations and their wave vector in two-dimensional metals
• Electronic superlattice revealed by resonant scattering from random impurities in Sr3Ru2O7
• Superconductivity and charge density wave under a time-dependent periodic field in the one-dimensional attractive Hubbard model
• Superconductor to Mott insulator transition in YBa${}_2$Cu${}_3$O${}_7$/LaCaMnO${}_3$ heterostructures
• Designing the stripe-ordered cuprate phase diagram through uniaxial-stress
• Investigation of Precursor Superconducting State in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ through In-plane Optical Spectroscopy
• Quantum-Acoustical Drude Peak Shift
• Spin density wave order and fluctuations in Mn3Si: a transport study
• Cu nuclear magnetic resonance study of charge and spin stripe order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Specific Heat and Sound Velocity Distinguish the Relevant Competing Phase in the Pseudogap Region of High Temperature Superconductors
• Emergent charge order near the doping-induced Mott-insulating quantum phase transition in Sr${}_3$Ru${}_2$O${}_7$
• Hidden Order as a Source of Interface Superconductivity
• Local particle-hole pair excitations by SU(2) symmetry fluctuations
• Fractionalizing a local pair density wave: a good "recipe" for opening a pseudo-gap
• Investigation of spin excitations and charge order in bulk crystals of the infinite-layer nickelate LaNiO${}_2$
• Absence of Local Fluctuating Dimers in Superconducting Ir${}_{1-x}$(Pt,Rh)${}_x$Te${}_2$
• Hybridization of Higgs modes in a bond-density-wave state in cuprates
• Exploring intertwined orders in cuprate superconductors
• Pressure Driven Phase Transition in 1T-TiSe${}_2$ , a MOIPT+DMFT Study
• Quenched Magnon excitations by oxygen sublattice reconstruction in (SrCuO${}_2$)${}_n$/(SrTiO${}_3$)${}_2$ superlattices
• Superconductivity and structural distortion in BaPt${}_2$As${}_2$
• Emergent superconductivity upon disordering a charge density wave ground state
• Quasiparticle interference and charge order in a heavily overdoped non-superconducting cuprate
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates
• Synthesis, Structural, and Transport Properties of Cr-doped BaTi_2As_2O
• Coexistence of the Kondo effect and spin glass physics in Fe-doped NbS${}_2$
• Diffuse Scattering from Correlated Electron Systems
• Interplay between charge order and superconductivity in cuprate superconductors
• Spin and charge density waves in the quasi-one-dimensional KMn6Bi5
• Simultaneous Vanishing of the Nematic Electronic State and the Structural Orthorhombicity in NaFe${}_{1-x}$Co${}_x$As Single Crystals
• Interplay of spin and charge order in the electron-doped cuprates
• Charge- and pair-density-wave orders in the one-band Hubbard model with dynamical mean field theory
• Adiabatic variation of the charge-density-wave phase diagram in the 123 cuprate (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
• Topological Superconductivity in a two-dimensional Weyl SSH model
• Phase diagrams of a 2D Ising spin-pseudospin model
• The origins of macroscopic quantum coherence in high temperature super conductivity
• Non-Fermi liquid scattering against an emergent Bose liquid: manifestations in the kink and other exotic quasiparticle behaviors in the normal-state cuprate superconductors
• Collective mode in the SU(2) theory of cuprates
• Estimation of the on-site Coulomb potential 1 and covalent state in La2CuO4 by muon spin rotation 2 and density functional theory calculations
• Critical Nematic Correlations Throughout the Doping Range in BSCCO
• Two-component energy spectrum of cuprates in the pseudogap phase and its evolution with temperature and at charge ordering
• Charge-Density-Excitation Spectrum in the t-t'-J-V Model
• Stabilization of three-dimensional charge order through interplanar orbital hybridization in Pr${}_x$Y${}_{1-x}$Ba${}_2$Cu${}_3$O${}_{6+\delta }$
• Unveiling charge density wave quantum phase transitions by x-ray diffraction
• Holographic superconductor induced by charge density waves
• Topological Defects in Systems with Two Competing Order Parameters: Application to Superconductors with Charge- and Spin-Density Waves
• Stripe Symmetry of Short-range Charge Density Waves in Cuprate Superconductors
• Coexistence of superconductivity and charge-density-wave domain in $1T$-Fe${}_x$Ta${}_{1-x}$SSe
• Anomalous softening of phonon-dispersion in cuprate superconductors
• Electron self-energy from quantum charge fluctuations in the layered t-J model with long-range Coulomb interaction
• Magnetic and thermodynamic properties of Cu${}_x$TiSe${}_2$ single crystals
• A theory of coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids: effect of dephasing on cuprate superconductivity
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Magnetization of underdoped YBa${}_2$Cu${}_3$O${}_y$ above the irreversibility field
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Commensurate lattice distortion in the layered titanium oxypnictides Na${}_2$Ti${}_{2}P{n}_2$O ($Pn=$ As, Sb) determined by X-ray diffraction
• Electron spectral functions in a quantum dimer model for topological metals
• Pseudo-spin Skyrmions in the Phase Diagram of Cuprate Superconductors
• Nanoscale inhomogeneity of charge density waves dynamics in La${}_{2-x}$Sr${}_x$NiO${}_4$
• Nanoscale phase separation in deep underdoped Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ and Ca${}_2$CuO${}_2$Cl${}_2$
• Collective Dynamics and Strong Pinning near the Onset of Charge Order in La${}_{1.48}$Nd${}_{0.4}$Sr${}_{0.12}$CuO${}_4$
• Unusual Hole-doping-dependent Electronic Instability and Electron-Phonon Coupling in Infinite-layer Nickelates
• Charge segregation model for superconducting correlations in cuprates above $T_c$
• Orbital-selective charge-density wave in TaTe${}_4$
• Emergence of strongly correlated electronic states driven by the Andreev bound state in d-wave superconductors
• Berry Phase in Cuprate Superconductors
• Pressure tuning of structure, superconductivity and novel magnetic order in the Ce-underdoped electron-doped cuprate T'-Pr_1.3-xLa_0.7Ce_xCuO_4 (x = 0.1)
• Two-particle bound states on a lattice
• Concurrent probing of electron-lattice dephasing induced by photoexcitation in 1T-TaSeTe using ultrafast electron diffraction
• Temperature and field dependence of the intrinsic tunnelling structure in overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Doping dependence of fluctuation diamagnetism in High Tc superconductors
• Two Distinct Charge Orders in Infinite-layer PrNiO2+δ revealed by Resonant X-ray Diffraction
• Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors
• Anisotropic zero-resistance onset in organic superconductors
• Doping dependence of d-wave bond-charge excitations in electron-doped cuprates
• Emergence of $d\pm ip$-wave superconducting state at the edge of $d$-wave superconductors mediated by Andreev-bound-state-driven ferromagnetic fluctuations
• Inelastic X-ray scattering studies of phonon dispersions in superconductors at high pressures
• Slow quantum oscillations without fine-grained Fermi Surface Reconstruction in Cuprate Superconductors
• Transverse thermoelectric transport in a model of many competing order parameters
• Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR
• Cuprate superconductors: Dynamic stabilization?
• Diamagnetism and density wave order in the pseudogap regime of YBa${}_2$Cu${}_3$O${}_{6+x}$
• Possible quantum fluctuations in the vicinity of the quantum critical point of $(\mathbf{Sr},\mathbf{Ca}{)}_3\mathbf{I}{\mathbf{r}}_4\mathbf{S}{\mathbf{n}}_{13}$ revealed by high-energy X-ray diffraction study
• Electronic spectral function in fractionalized Pair Density Wave scenario
• A Theoretical Investigation of Charge Density Wave Instability in CuS${}_2$
• Competition between spin-induced charge instabilities in underdoped cuprates
• Manifestations of spin-orbit coupling in a cuprate superconductor
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Angle-dependent magnetoresistance as a sensitive probe of the charge density wave in quasi-one-dimensional semimetal Ta${}_2$NiSe${}_7$
• Correlation between charge density waves and antiferromagnetism in Nd${}_{1-x}$Gd${}_x$NiC${}_2$ solid solution
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory
• Relationship between Magnetic Anisotropy Below Pseudogap Temperature and Short-Range Antiferromagnetic Order in High-Temperature Cuprate Superconductor
• Strain-induced long-range charge-density wave order in the optimally doped Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_6$ superconductor
• Homogeneous superconducting gap in DBCO synthesized by oxide molecular beam epitaxy
• Real space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• Quantum Oscillation as Diagnostics of Pseudogap State in Underdoped Cuprates
• Magnetic field-dependence of the basal-plane superconducting anisotropy in YBa2Cu4O8 from small-angle neutron scattering measurements of the vortex lattice
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Superconductivity and the electronic phase diagram of LaPt${}_{2-x}$Ge${}_{2+x}$
• Strongly enhanced superconductivity in coupled t-J segments
• Charge ordering mechanism in silver fluoride AgF${}_2$
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• X-ray natural dichroism and chiral order in underdoped cuprates
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates
• Intervortex forces in competing-order superconductors
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• The High Temperature Superconductivity in Cuprates: Physics of the Pseudogap Region
• Coherent Charge and Spin Density Waves in Underdoped HgBa${}_2$CuO${}_{4+\delta }$
• Optimal interlayer hopping and high temperature Bose-Einstein condensation of local pairs in quasi 2D superconductors
• Incipient loop current order in the under-doped cuprate superconductors
• Quasiparticle interference of heavy fermions in resonant X-ray scattering
• Signatures of New $d$-Wave Vortex Physics in Overdoped Tl${}_2$Ba${}_2$CuO${}_{6+x}$ Revealed by TF-${\mu }^{+}$SR
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Combined investigation of collective amplitude and phase modes in a quasi-one-dimensional charge-density-wave system over a wide spectral range
• Novel Cu-based dz2 order at a YBa2Cu3O7/ manganite interface
• In-plane Isotropy of the Low Energy Phonon Anomalies in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Vortex core order and field-driven phase coexistence in the attractive Hubbard model
• Nodeless superconductivity in the charge density wave superconductor LaPt${}_2$Si${}_2$
• Doping-dependent phonon anomaly and charge-order phenomena in the HgBa${}_2$CuO${}_{4+\delta }$ and HgBa${}_2$CaCu${}_2$O${}_{6+\delta }$
• Visualizing the charge order and topological defects in an overdoped (Bi,Pb)${}_2$Sr${}_2$CuO${}_{6+x}$ superconductor
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• On the size of superconducting islands on the density-wave background in organic metals
• Crossover from Fermi Arc to Full Fermi Surface
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Fluctuating charge-density-wave correlations in the three-band Hubbard model
• Signatures of thermally excited vortices in a superconductor with competing orders
• Robust Charge-Density Wave Correlations in Optimally-Doped YBa2Cu3Oy
• Terahertz phase slips in striped La${}_{2-x}$Ba${}_x$CuO${}_4$
• Charge Density Wave Modulation in Superconducting BaPbO${}_3$/BaBiO${}_3$ Superlattices
• $\pi$-Phase shift across stripes in a charge density wave system
• Suppression of the Charge-Density-Wave State in Sr${}_{10}$Ca${}_4$Cu${}_{24}$O${}_{41}$ by External Pressure
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Effects of 3 MeV Proton Irradiation on Superconductivity and CDW in 2H-NbSe2 Single Crystals
• The number of holes contained within the Fermi surface volume in underdoped high temperature superconductors
• Light-Induced Melting of Competing Stripe Orders without Introducing Superconductivity in La${}_{2-\mathbf{x}}$Ba${}_{\mathbf{x}}$CuO${}_4$
• Signatures of charge-order correlations in transport properties of electron-doped cuprate superconductors
• Correlation between charge order and second-neighbor hopping in cuprate superconductors
• Staging superstructures in high-$T_c$ Sr/O co-doped La${}_{2-x}$Sr${}_x$CuO${}_{4+y}$
• A calculation for polar Kerr effect in high temperature cuprate superconductors
• Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
• Two-carrier Magnetoresistance: Applications to Ca${}_3$Ru${}_2$O${}_7$
• Vortex-core spectroscopy of $d$-wave cuprate high-temperature superconductors
• The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
• Hall anomaly and vortex charge in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_x$
• Interplay of superconductivity and charge-density-wave order in kagome materials
• Arc-to-pocket transition and quantitative understanding of transport properties in cuprate superconductors
• Charge Order and Fluctuations in Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$ Revealed by ${}^{63,65}$Cu-Nuclear Magnetic Resonance
• Interplay between pair density waves and random field disorders in the pseudogap regime of cuprate superconductors
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• First principle prediction of structural distortions in the cuprates and their impact on the electronic structure
• Spin-dimer ground state driven by consecutive charge and orbital ordering transitions in the anionic mixed-valence compound Rb${}_4$O${}_6$
• Hidden pair-density-wave order in cuprate superconductors
• Formation of Spatial Patterns by Spin-selective Excitations of Interacting Fermions
• Polarized Raman spectroscopy study of metallic $(S{r}_{1-x}L{a}_x{)}_{3}I{r}_2{O}_7$: a consistent picture of disorder-interrupted unidirectional charge order
• Structural Evolution and Onset of the Density Wave Transition in the CDW Superconductor LaPt${}_2$Si${}_2$ Clarified with Synchrotron XRD
• Translation Invariant Bipolarons and Charge Density Waves in High-Temperature Superconductors
• Giant Nernst effect in the incommensurate charge density wave state of P4W12O44
• Charge order, superconducting correlations, and $\mu$SR
• Current direction dependent magnetotransport in CuTe
• Surface symmetry breaking and disorder effects on superconductivity in perovskite BaBi3 epitaxial films
• Glue function of optimally and overdoped cuprates from inversion of the Raman spectra
• Internal static electric and magnetic field at the copper cite in a single crystal of the electron-doped high-T${}_c$ superconductor Pr${}_{1.85}$Ce${}_{0.15}$CuO${}_{4-y}$
• Orbitally Selective Resonant Photodoping to Enhance Superconductivity
• Coincident onset of charge order and pseudogap in a homogeneous high-temperature superconductor
• Breathing Charge Density Waves in Intrinsic Josephson Junctions
• Renormalization of electrons in bilayer cuprate superconductors
• Edge-induced strongly correlated electronic states in two-dimensional Hubbard model: Enhancement of magnetic correlations and self-energy effects
• Local spin-density-wave order inside vortex cores in multiband superconductors
• Linear dichroism and the nature of charge order in underdoped cuprates
• Elastoconductivity as a probe of broken mirror symmetries
• Hybridization of lattice and charge order excitations in a superconducting cuprate
• No nematicity at the onset temperature of the pseudogap phase in the cuprate superconductor YBCO
• Fluctuating charge order in the cuprates: spatial anisotropy and feedback from superconductivity
• $\text{Ab-initio}$ study of $\text{A}Bi{O}_3$ ($A$=Ba, Sr, Ca) under high pressure
• Short-range antiferromagnetic correlation effect on conduction electrons in two-dimensional strongly correlated electron systems
• Skyrmion-like textures in superconductors with competing order
• Oxygen on-site Coulomb energy in Pr${}_{1.3-x}$La${}_{0.7}$Ce${}_x$CuO${}_4$ and Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and its relation with Heisenberg exchange
• The structure of the superconducting high-pressure phase of Sc${}_3$CoC${}_4$
• $d$-Density Wave (DDW) Scenario Description of the New Hidden Charge Order in Cuprates
• Evidence that cuprate superconductors form an array of nanoscopic Josephson junctions
• Tuning Bound States of Symmetry-Breaking Vortices via Unidirectional Charge Density Wave in a Transition-Metal Dichalcogenide Superconductor
• The magnetic susceptibility of YBa${}_2$Cu${}_3$O${}_{6+x}$ crystals: unusual Curie behavior and small contributions from charge density waves
• Andreev-Bragg reflection from an Amperian superconductor
• Angle-dependent magnetoresistance as a probe of Fermi surface warping in HgBa${}_2$CuO${}_{4+\delta }$
• Competition between the Spin and Pseudospin Subsystems in a Model Cuprate
• Inverse melting and intertwined orders in PrCuSb${}_2$
• Magnetic field-tuned quantum criticality in optimally electron-doped cuprate thin films
• First-order phase transition between superconductivity and charge/spin-density wave as the reason of their coexistence in organic metals
• Suppression of superconductivity by charge density wave order in YBa${}_2$Cu${}_3$O${}_{6.67}$
• Coexistence of charge density wave and field-tuned magnetic states in TmNiC${}_2$
• Superconducting energy gap versus pseudogap in hole-doped cuprates as revealed by infrared spectroscopy
• Nematic single-component superconductivity and loop-current order from pair-density wave instability
• Observation of van der Waals phonons in the single-layer cuprate (Bi,Pb)${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$
• Trion formation and unconventional superconductivity in a three-dimensional model with short-range attraction
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• Doping Tunable CDW Phase Transition in Bulk 1T-ZrSe${}_2$
• Infrared spectroscopy study of the in-plane response of YBa2Cu3O6.6 in magnetic fields up to 30 Tesla
• Doping dependence of the upper critical field in untwinned YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films
• Universal phonon softening in the pseudogap state of Tl${}_2$Ba${}_2$Ca${}_{n-1}$Cu${}_n$O${}_{2n+4+\delta }$
• Strain tunable electronic ground states in two-dimensional iridate thin films
• Imprint of charge and oxygen orders on Dy ions in DyBa${}_2$Cu${}_3$O${}_{6+x}$ thin films probed by resonant x-ray scattering
• Nonequilibrium probe of paired electron pockets in the underdoped cuprates
• Random field disorder and charge order driven quantum oscillations in cuprates
• Rotation symmetry breaking in La2-xSrxCuO4 revealed by ARPES
• Strong-coupling theory of bilayer plasmon excitations
• Possibility of charge density wave transition in SrPt${}_2$Sb${}_2$ superconductor
• Spectral weight in Chern-Simons theory with symmetry breaking
• Evolution of electron Fermi surface with doping in cobaltates
• Dynamic charge order from strong correlations in the cuprates
• Angular Dependent Spectral-Weight Transfer and Evidence for Symmetry Broken In-Plane Charge Response in Ca${}_{1.9}$Na${}_{0.1}$CuO${}_2$Cl${}_2$
• Implications of Charge Ordering in the High Tc Cuprate Superconductors in the Far-infrared Spectroscopy
• Critical Temperatures of Hard-Core Boson Model on Square Lattice within Bethe Approximation
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Ephemeral Superconductivity Atop the False Vacuum
• Onsager rule, quantum oscillation frequencies, and the density of states in the mixed-vortex state of cuprates
• Phase separation and pairing fluctuations in oxide materials
• Normal state Nernst effect from bi-directional bond density wave state in high T_c cuprates
• Proximity-induced charge density wave in a metallic system
• Orbital-selective time-domain signature of nematicity dynamics in the charge-density-wave phase of La${}_{1.65}$Eu${}_{0.2}$Sr${}_{0.15}$CuO${}_4$
• Composite antiferromagnetic and orbital order with altermagnetic properties at a cuprate/manganite interface
• Incommensurate charge density wave on multiband intermetallic systems exhibiting competing orders
• Tunable Competing Electronic Orders in Double Quantum Spin Hall Superlattices
• Competing pair density wave orders in the square lattice $t$-$J$ model
• High field charge order across the phase diagram of $YB{a}_{2}C{u}_3{O}_y$
• Quantum oscillations in non-Fermi liquids: Implications for high-temperature superconductors
• Development of spin fluctuations under the presence of $d$-wave bond order in cuprate superconductors
• Raman Response of the Charge Density Wave in Cuprate Superconductors
• $d_{x^2-y^2}$-wave density wave and $d_{x^2-y^2}$-wave superconducting gap on the extended Hubbard model on a square lattice
• Intrinsic Hallmarks of Phonon-Induced Charge Order in Cuprates
• Charge modulation in the background of depleted superconductivity inside vortices
• The doping evolution of the charge density wave and charge density fluctuations in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Taking a step back and looking at the superconducting dome from a distance
• Charge disorder and variations of $T_c$ in Zn-doped cuprate superconductors
• Discovery of Giant Unit-Cell Super-Structure in the Infinite-Layer Nickelate PrNiO${}_2$
• Thermodynamic phase diagram of the competition between superconductivity and charge order in cuprates
• Breakdown of the Fermi arcs in underdoped cuprates by incommensurate charge density waves
• Resonant x-ray scattering study of charge-density wave correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$ under uniaxial stress
• Vortex core ordering in Abrikosov lattices
• Charge density waves and soft phonon evolution in the superconductor BaNi${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Emergent channel over a pair of pockets in strong density waves
• Introduction to High-Temperature Superconductivity for Solid State Chemists
• The Ba${}_{0.6}$K${}_{0.4}$Fe${}_2$As${}_2$ superconducting four-gap temperature evolution: a multi-band Chebyshev-BdG approach
• Metal-Insulator Transition and Pseudogap in Bi${}_{1.76}$Pb${}_{0.35}$Sr${}_{1.89}$CuO${}_{6+\delta }$ High-$T_c$ Cuprates
• Light-Induced Metastable State in Charge-Ordered YBa${}_2$Cu${}_3$O${}_{6+x}$
• Comment on "Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs"
• Boosting superconductivity in ultrathin YBa${}_2$Cu${}_3$O${}_{7-\delta }$ films via nanofaceted substrates
• Generalization of interlayer tunneling models to cuprate superconductors with charge density waves
• 2D nano-granularity of the oxygen chains in the YBa2Cu3O6.33 superconductor
• A conducting nano-filament (CNF) network as a precursor to the origin of superconductivity in electron-doped copper oxides
• Strongly correlated model of acousticlike plasmons persisting across the phase diagram of cuprate superconductors
• Application of Non-local Quantum Hydrodynamics to the Description of the Charged Density Waves in the Graphen Crystal Lattice
• Large Kohn anomaly and phonon collapse induced by charge density wave in UPt${}_2$Si${}_2$
• The attractive Hubbard model as an $SO(3)$ system of competing phases: supersolid order and its thermal melting
• The hybrid lattice of KxFe2-ySe2: why superconductivity and magnetism can coexist
• Electronic structure and $H$-$T$ phase diagram of Eu(Fe${}_{1-x}$Rh${}_x$)${}_2$As${}_2$
• Engineering underdoped CuO${}_2$ nanoribbons in nm-thick $a$-axis YBa${}_2$Cu${}_3$O${}_{7-\delta }$ films
• Evidence for antiferromagnetism coexisting with charge order in the trilayer cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Entropic Origin of Pseudogap Physics and a Mott-Slater Transition in Cuprates
• Enhanced coherent terahertz emission from critical superconducting fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Catalogue of phonon modes in several cuprate high-temperature superconductors from density functional theory
• Reply to Comment on "Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs"
• Magnetic field tuned superconducting and normal phase magnetism in CeCo${}_{0.5}$Rh${}_{0.5}$In${}_5$
• Charge order in the Pr substituted YBa${}_2$Cu${}_3$O${}_7$ from high-field Hall effect measurements
• Resonant X-Ray Scattering Investigations of Charge Density Wave and Nematic Orders in Cuprate Superconductors
• Magnetic and Electronic Properties of Single-Crystalline BaCoSO
• Superfluid dome in the spatially modulated two-dimensional XY model
• Symmetry classification of bond order parameters in cuprates
• Paring density waves as the origin of a ring-like RIXS profile in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Real-space d-wave superconductivity from weak attraction
• Multi-polaron solutions, nonlocal effects and internal modes in a nonlinear chain
• Median-point approximation and its application for the study of fermionic systems
• Phase diagram of the two-dimensional Hubbard-Holstein model: enhancement of $s$-wave pairing between charge and magnetic orders
• Pole structure of the electronic self-energy with coexistence of Charge order and Superconductivity
• Amplitude mode of charge density wave in TTF[Ni(dmit)2]2 observed by electronic Raman scattering
• A close look at antiferromagnetism in multidimensional phase diagram of electron-doped copper oxide
• Density-wave tendency from a topological nodal-line perspective
• Supercurrent effect in a charge density wave intertwined superconductor
• Superconductivity Reinforces Charge-Density-Wave Phase Coherence across Cuprates
• Self-organized electronic superlattices in layered materials
• Enhanced charge density wave with mobile superconducting vortices in La${}_{1.885}$Sr${}_{0.115}$CuO${}_4$
• Phases of holographic d-wave superconductor