A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d

Abstract

Scanning tunneling microscopy is used to image the additional quasiparticle states generated by quantized vortices in the high-Tc superconductor Bi2Sr2CaCu2O8+d. They exhibit a Cu-O bond oriented 'checkerboard' pattern, with four unit cell (4a0) periodicity and a ~30 angstrom decay length. These electronic modulations may be related to the magnetic field-induced, 8a0 periodic, spin density modulations of decay length ~70 angstroms recently discovered in La1.84Sr0.16CuO4. The proposed explanation is a spin density wave localized surrounding each vortex core. General theoretical principles predict that, in the cuprates, a localized spin modulation of wavelength L should be associated with a corresponding electronic modulation of wavelength L/2, in good agreement with our observations.

10 pages, 3 figures

References in corpus (6)

• Spins in the Vortices of a High Temperature Superconductor
• Spin ordering quantum transitions of superconductors in a magnetic field
• Quasiparticle States at a d-Wave Vortex Core in High-Tc Superconductors: Induction of Local Spin Density Wave Order
• Bond operator theory of doped antiferromagnets: from Mott insulators with bond-centered charge order, to superconductors with nodal fermions
• Staggered local density-of-states around the vortex in underdoped cuprates
• Staggered currents in the mixed state

Cited by in corpus (526)

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• Absence of a Bulk Thermodynamic Phase Transition to a Density Wave Phase in UTe2
• Specific Heat and Sound Velocity Distinguish the Relevant Competing Phase in the Pseudogap Region of High Temperature Superconductors
• Quasiparticle interference and charge order in a heavily overdoped non-superconducting cuprate
• Upper critical field for underdoped high-T_c superconductors. Pseudogap and stripe--phase
• Local particle-hole pair excitations by SU(2) symmetry fluctuations
• Near doping-independent pocket area from an antinodal Fermi surface instability in underdoped high temperature superconductors
• Exploring intertwined orders in cuprate superconductors
• Angle-Resolved Photoemission from Cuprates with Static Stripes
• Strong correlation between field-induced magnetism and superconductivity in Pr${}_{0.89}$LaCe${}_{0.11}$CuO${}_4$
• Field-Induced Uniform Antiferromagnetic Order Associated with Superconductivity in Pr${}_{1-x}$LaCe${}_x$CuO${}_{4-\delta }$
• Unconventional Low-Energy Excitations of Cuprate Superconductors
• Charge, bond, and pair density wave orders in a strongly correlated system
• Critical Nematic Correlations Throughout the Doping Range in BSCCO
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Local density of states of a strongly type-II d-wave superconductor: The binary alloy model in a magnetic field
• Antiferromagnetism, Superconductivity and Phase Diagram in the Two-Dimensional Hubbard Model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model III --
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Instability of the charge density wave in Kagome magnet FeGe
• Simultaneous Vanishing of the Nematic Electronic State and the Structural Orthorhombicity in NaFe${}_{1-x}$Co${}_x$As Single Crystals
• Heterogeneous slow dynamics in a two dimensional doped classical antiferromagnet
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Non-universal pairing symmetry and pseudogap phenomena in hole- and electron-doped cuprate superconductors
• Sign Reversal of the Hall Response in a Crystalline Superconductor
• Anomalous softening of phonon-dispersion in cuprate superconductors
• Bond-order modulated staggered flux phase for the $t-J$ model on the square lattice
• Pairbreaking Without Magnetic Impurities in Disordered Superconductors
• Recursion method for the quasiparticle structure of a single vortex with induced magnetic order
• Stripe Symmetry of Short-range Charge Density Waves in Cuprate Superconductors
• Structure of the core of magnetic vortices in d-wave superconductors with a subdominant triplet pairing mechanism
• Topological Doping and Superconductivity in Cuprates: An Experimental Perspective
• Pseudo-spin Skyrmions in the Phase Diagram of Cuprate Superconductors
• Stabilization of three-dimensional charge order through interplanar orbital hybridization in Pr${}_x$Y${}_{1-x}$Ba${}_2$Cu${}_3$O${}_{6+\delta }$
• Incompatibility of modulated checkerboard patterns with the neutron scattering resonance peak in cuprate superconductors
• Electronic states near a quantum fluctuating point vortex in a d-wave superconductor: Dirac fermion theory
• Selection rules for quasiparticle interference with internal nonsymmorphic symmetries
• Low temperature quasiparticle transport in a d-wave superconductor with coexisting charge order
• Diamagnetism and density wave order in the pseudogap regime of YBa${}_2$Cu${}_3$O${}_{6+x}$
• Selective Hybridization between Main Band and Superstructure Band in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Superconductor
• Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors
• High temperature superconductivity due to the long-range electron-phonon interaction, application to isotope effects, thermomagnetic transport and nanoscale heterogeneity in cuprates
• Charge Modulations in the Superconducting State of the Cuprates
• Checkerboard order state in superconducting FeSe/SrTiO3(001) monolayer
• Superconducting Gap Modulation in Weak Stripe States
• Strange metal from incoherent bosons
• Direct Visualization of a Static Incommensurate Antiferromagnetic Order by Suppressing the Superconducting Phase Coherence in Fe-doped Bi2Sr2CaCu2O8+delta
• Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR
• Signature of Spin Collective Mode in Local Tunneling Spectra of a d-wave Superconductor
• Disorder effects on superconducting tendencies in the checkerboard Hubbard model
• Real space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
• An Infrared study of the Josephson vortex state in high-Tc cuprates
• Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates
• Scanning tunneling microscopy with InAs nanowire tips
• The Three Component Electronic Structure of the Cuprates Derived from SI-STM
• Effect of orbital symmetry of the tip on Scanning Tunneling Spectra of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Local Density of States in a d-wave Superconductor with Stripe-Like Modulations and a Strong Impurity
• Quantum Ginzburg-Landau theory of doped Mott insulators
• Is the pseudogap a topological state?
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Coexistence of double-Q spin density wave and multi-Q pair density wave in cuprate oxide superconductors
• Intertwined Orders and the Physics of High Temperature Superconductors
• The Gap Function Phi(k,w) for a Two-leg t-J Ladder and the Pairing Interaction
• Vortex core order and field-driven phase coexistence in the attractive Hubbard model
• Inelastic-impurity-scattering-induced spin texture and topological transitions in surface electron waves
• Inferring effective interactions from the local density of states: application to STM data from Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Signatures of New $d$-Wave Vortex Physics in Overdoped Tl${}_2$Ba${}_2$CuO${}_{6+x}$ Revealed by TF-${\mu }^{+}$SR
• Temperature dependence of the impurity-induced resonant state in Zn-doped Bi_2Sr_2CaCu_2O${}_{8+\delta }$ by Scanning Tunneling Spectroscopy
• Scanning tunnelling spectroscopy of the vortex state in NbSe2 using a superconducting tip
• Competition between Superconductivity and Charge Density Waves: the Role of Disorder
• Incipient loop current order in the under-doped cuprate superconductors
• Wang-MacDonald d-wave vortex cores observed in heavily overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Intervortex forces in competing-order superconductors
• Magnetic field-induced soft mode in spin-gapped high-Tc superconductors
• The High Temperature Superconductivity in Cuprates: Physics of the Pseudogap Region
• Overlapping hot spots and charge modulation in cuprates
• Visualizing the charge order and topological defects in an overdoped (Bi,Pb)${}_2$Sr${}_2$CuO${}_{6+x}$ superconductor
• The Role of the Core Energy in the Vortex Nernst Effect
• $\pi$-Phase shift across stripes in a charge density wave system
• Superatom Representation of High-TC Superconductivity Revisited
• Influence of impurities on electronic structure in cuprate superconductors
• Quantum Interference of Impurity Bound States in Bi${}_2$Sr${}_2$Ca(Cu${}_{1-x}$Zn${}_x$)${}_2$O${}_{8+\delta }$ Probed by Scanning Tunneling Spectroscopy
• Light-Induced Melting of Competing Stripe Orders without Introducing Superconductivity in La${}_{2-\mathbf{x}}$Ba${}_{\mathbf{x}}$CuO${}_4$
• Particle-hole symmetry breaking in the pseudogap state of Pb0.55Bi1.5Sr1.6La0.4CuO6+d: A quantum-chemical perspective
• Spectroscopic Evidence for Competing Order-Induced Pseudogap Phenomena and Unconventional Low-Energy Excitations in High-TC Cuprate Superconductors
• Interpretation of low-temperature nuclear quadrupole resonance spectra in La(1.875)Ba(0.125)CuO(4) in terms of two-dimensional spin superstructure
• Ubiquitous stripe phase and enhanced electron pairing in interfacial high-Tc superconductor FeSe/BaTiO${}_3$
• Signatures of thermally excited vortices in a superconductor with competing orders
• Competing order and the asymmetric tunneling spectrum in high temperature cuprate superconductors
• Charge order, superconducting correlations, and $\mu$SR
• Vortex-core spectroscopy of $d$-wave cuprate high-temperature superconductors
• New results for the t-J model in ladders: Changes in the spin liquid state with applied magnetic field. Implications for the cuprates
• Hole-pair symmetry and excitations in the strong-coupling extended t-Jz model: competition between d-wave and p-wave
• Broken symmetries associated with a Kagome chiral charge order
• Enhancement of superconductivity by electronic nematicity in cuprate superconductors
• The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
• Stability of nodal quasiparticles in underdoped YBa2Cu3O6+y probed by penetration depth and microwave spectroscopy
• Superlight bipolarons and a checkerboard d-wave condensate in cuprates
• Pseudogap and Fermi surface in the presence of spin-vortex checkerboard for 1/8-doped lanthanum cuprates
• Hall anomaly and vortex charge in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_x$
• Enhancement of superconductivity due to kinetic-energy effect in the strongly correlated phase of the two-dimensional Hubbard model
• Hyperbolic fringe signal for twin impurity quasiparticle interference
• Kondo effect of non-magnetic impurities and the co-existing charge order in the 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
• Vortex structure in a $d$-wave superconductor obtained by a confinement transition from the pseudogap metal
• Signatures of unconventional pairing in near-vortex electronic structure of LiFeAs
• Superconductivity model for a spin-vortex checkerboard
• Observation of the predicted charge collective mode of the Tc = 45 K superconducting phase of La2CuO4+δ
• Effect of gauge boson mass on the phase structure of QED${}_3$
• Local spin-density-wave order inside vortex cores in multiband superconductors
• Elastoconductivity as a probe of broken mirror symmetries
• Surface symmetry breaking and disorder effects on superconductivity in perovskite BaBi3 epitaxial films
• Fermi Surface Reconstruction in Underdoped Cuprates: The Origin of Electron Pockets
• $d$-Density Wave (DDW) Scenario Description of the New Hidden Charge Order in Cuprates
• Real-space observation of charge ordering in epitaxial La2-xSrxCuO4 films
• Skyrmion-like textures in superconductors with competing order
• Renormalization of electrons in bilayer cuprate superconductors
• Fractionalized Fermi liquids and the cuprate phase diagram
• Phase separation in effective hard-core boson and triplet models in one and two dimensions
• Stripes and superconductivity in one-dimensional self-consistent model
• Superconducting Dome from Holography
• 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${}_{4-y}$
• Coexistence of charged stripes and superconductivity in Bi2Sr2CaCu2O8+d
• Charge Density Distributions in Doped Antiferromagnetic Insulators
• Effect of coexisting order of various form and wave vector on low-temperature thermal conductivity in d-wave superconductors
• Quasiparticle heat transport in the mixed state of high $T_c$ superconductors
• Mesoscopic variations of local density of states in disordered superconductors
• In-plane Tunneling Spectrum into a [110]-Oriented High-$T_c$ Superconductor in the Pseudogap Regime
• Dimensionality of spin modulations in 1/8-doped lanthanum cuprates from the perspective of NQR and muSR experiments
• Broken particle-hole symmetry at atomically flat a-axis YBa2Cu3O7-d interfaces
• Universal phonon softening in the pseudogap state of Tl${}_2$Ba${}_2$Ca${}_{n-1}$Cu${}_n$O${}_{2n+4+\delta }$
• Bulk charge density wave and electron-phonon coupling in superconducting copper oxychlorides
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• Electron-phonon coupling in a two-dimensional inhomogeneous electron gas: consequences for surface spectral properties
• Lattice-decoupled rotatable stripe-like charge order within the strange metal phase of 2M-WS2
• Magnetization Plateaus in the Two-dimensional S = 1/2 Heisenberg Model with a 3$\times$3 Checkerboard Structure
• Non-equilibrium Anisotropic Phases, Nucleation and Critical Behavior in a Driven Lennard-Jones Fluid
• A Theoretical Study of Doping Evolution of Phonons in High-Temperature Cuprate Superconductors
• Electronic structure of topological defects in the pair density wave superconductor
• HTSC Cuprate Phase Diagram Using a Modified Boson-Fermion-Gossamer Model Describing Competing Orders, a Quantum Critical Point and Possible Resonance Complex
• Doping Dependence of Upper Critical Field of High-Tc Cuprate Bi2+xSr2-xCaCu2O8+d Estimated from Irreversibility Field at Zero Temperature
• Low energy theory of a single vortex and electronic quasiparticles in a d-wave superconductor
• Low temperature thermal conductivity in a d-wave superconductor with coexisting charge order: Effect of self-consistent disorder and vertex corrections
• Magnetic Field Induced Vortex Lattice Transition in HgBa${}_2$CuO${}_{4+\delta }$
• Paring instability in the mixed state of d-wave superconductor
• Local enhancement of spin and orbital antiferromagnetism around a single vortex in high-Tc superconductors
• Doping-dependent critical Cooper-pair momentum in thin, underdoped cuprate films
• Defect and anisotropic gap induced quasi-one-dimensional modulation of local density of states in YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Structures of Order Parameters in Inhomogeneous Phase States of Strongly Correlated Systems
• In-plane and Out-of-plane Plasma Resonances in Optimally Doped La1.84Sr0.16CuO4
• Nonequilibrium probe of paired electron pockets in the underdoped cuprates
• Pseudogap phase and fractionalization: Predictions for Josephson junction setup
• Implications of Charge Ordering in the High Tc Cuprate Superconductors in the Far-infrared Spectroscopy
• Random field disorder and charge order driven quantum oscillations in cuprates
• Electronically driven nematicity in FeSe Films on SrTiO3
• Dynamic charge order from strong correlations in the cuprates
• Raman Response of the Charge Density Wave in Cuprate Superconductors
• Influence of spin structures and nesting on Fermi surface and a pseudogap anisotropy in t-t'-U Hubbard model
• Pinning of Vortices by impurities in Unconventional superconductors
• Spin vortices, skyrmions and the Kosterlitz-Thouless transition in the two-dimensional antiferromagnet
• The magnetic field driven superconductor-metal transition in disordered hole-overdoped cuprates
• Introduction to High-Temperature Superconductivity for Solid State Chemists
• Charge modulation in the background of depleted superconductivity inside vortices
• Temperature dependence of the collective mode and its influence on the band splitting in bilayer cuprates
• $d_{x^2-y^2}$-wave density wave and $d_{x^2-y^2}$-wave superconducting gap on the extended Hubbard model on a square lattice
• The Low-Temperature Phenomenology of Gap Inhomogeneity in the Cuprate Superconductors: High-Energy Granularity, Low-Energy Homogeneity, and Spectral Kinks
• Vortex core ordering in Abrikosov lattices
• Electronic Liquid Crystal Physics of Underdoped Cuprates
• The fermi arc and fermi pocket in cuprates in a short-range diagonal stripe phase
• Striped morphologies induced by magnetic impurities in d-wave superconductors
• Tuning order in cuprate superconductors
• A first-principles-based study of the thermodynamics of competing low-energy states in correlated materials: Example of cuprates
• Time reversal symmetry breaking in cuprates induced by the spiral spin order
• Real-space visualization of quasiparticle dephasing near the Planckian limit in the Dirac line node material ZrSiS
• Tunable striped-patterns by lattice anisotropy and magnetic impurities in d-wave superconductors
• Origin of insulating-like behavior of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$ under pressure: A first-principles study
• "Half-Bogoliubons" as the intermediate states for the phase coherence in underdoped cuprates
• Paring density waves as the origin of a ring-like RIXS profile in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Quasiparticle Scattering Interference in (K,Tl)FexSe2 Superconductors
• Alternate cleavage structure and electronic inhomogeneity in Ca-doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Variational Monte Carlo study of stripes as a function of doping in the $t-t^{\prime }$ Hubbard model
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Intermediate band analysis in Green's functions calculations of quasiparticle interference
• Bipolaronic proximity and other unconventional effects in cuprate superconductors
• Nesting-induced Local Electronic Patterns around a Single As (Te, Se) Vacancy in Iron-based Superconductors
• Fast spectroscopic mapping of two-dimensional quantum materials
• Josephson scanning tunneling microscopy: A local and direct probe of the superconducting order parameter
• Superconductivity and inhomogeneous charge-ordered state in the two-Dimensional Hubbard model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model IV