Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
arXiv:0706.0214 · doi:10.1038/nature05881
Abstract
Pairing of electrons in conventional superconductors occurs at the superconducting transition temperature Tc, creating an energy gap D in the electronic density of states (DOS). In the high-Tc superconductors, a partial gap in the DOS exists for a range of temperatures above Tc. A key question is whether the gap in the DOS above Tc is associated with pairing, and what determines the temperature at which incoherent pairs form. Here we report the first spatially resolved measurements of gap formation in a high-Tc superconductor, measured on Bi2Sr2CaCu2O8+d samples with different Tc values (hole concentration of 0.12 to 0.22) using scanning tunnelling microscopy. Over a wide range of doping from 0.16 to 0.22 we find that pairing gaps nucleate in nanoscale regions above Tc. These regions proliferate as the temperature is lowered, resulting in a spatial distribution of gap sizes in the superconducting state. Despite the inhomogeneity, we find that every pairing gap develops locally at a temperature Tp, following the relation 2D/kBTp = 8. At very low doping (<0.14), systematic changes in the DOS indicate the presence of another phenomenon, which is unrelated and perhaps competes with electron pairing. Our observation of nanometre-sized pairing regions provides the missing microscopic basis for understanding recent reports of fluctuating superconducting response above Tc in hole-doped high-Tc copper oxide superconductors.
References in corpus (20)
- Angle-resolved photoemission spectroscopy of the cuprate superconductors
- The pseudogap in high-temperature superconductors: an experimental survey
- How to detect fluctuating order in the high-temperature superconductors
- Destruction of the Fermi Surface in Underdoped High Tc Superconductors
- Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
- A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
- The Nernst effect in high- superconductors
- The doping dependence of T* - what is the real high-Tc phase diagram?
- The pseudogap: friend or foe of high Tc?
- Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
- Local Ordering in the Pseudogap State of the High-T Superconductor BiSrCaCuO
- Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
- Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
- Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
- Phenomenology of Photoemission Lineshapes of High Tc Superconductors
- The Ground State of the Pseudogap in Cuprate Superconductors
- Inherent Inhomogeneities in Tunneling Spectra of BSCCO Crystals in the Superconducting State
- Field-enhanced diamagnetism in intense magnetic field in the pseudogap state of the cuprate $\rm Bi_2Sr_2CaCu_2O_{8+δ}
- Thermodynamic transitions in inhomogeneous d-wave superconductors
- Local Strong Coupling Pairing in -Wave Superconductor with Inhomogeneous Bosonic Modes
Cited by in corpus (246)
- Lectures on holographic methods for condensed matter physics
- Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging
- Theory of Intertwined Orders in High Temperature Superconductors
- Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
- Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
- Two Gaps Make a High Temperature Superconductor?
- Optically enhanced coherent transport in YBa2Cu3O6.5 by ultrafast redistribution of interlayer coupling
- Energy gaps in high-transition temperature cuprate superconductors
- Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
- Diamagnetism and Cooper pairing above in cuprates
- Introduction to Holographic Superconductors
- Phase competition in trisected superconducting dome
- Nonlinear light-matter interaction at terahertz frequencies
- Unconventional Superconductivity
- Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
- Fractal superconductivity near localization threshold
- Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
- Single and two-particle energy gaps across the disorder-driven superconductor-insulator transition
- Disentangling Cooper-pair formation above Tc from the pseudogap state in the cuprates
- Infrared spectroscopy and nano-imaging of the insulator-to-metal transition in vanadium dioxide
- Pseudogap in a thin film of a conventional superconductor
- Quasi-particle interference and superconducting gap in a high-temperature superconductor Ca2-xNaxCuO2Cl2
- Universal relation between magnetic resonance and superconducting gap in unconventional superconductors
- Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
- Strong coupling superconductivity, pseudogap and Mott transition
- Broadening of the Beresinkii-Kosterlitz-Thouless superconducting transition by inhomogeneity and finite-size effects
- Electron-lattice interaction and its impact on high Tc superconductivity
- General Relativity and the Cuprates
- Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
- Pseudogap temperature of cuprate superconductors from the Nernst effect
- Point nodes persisting far beyond Tc in Bi2212
- Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
- Testing the itinerancy of spin dynamics in superconducting Bi2212
- Superconductor-Insulator transition and energy localization
- Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
- Intrinsic atomic scale modulations of the superconducting gap of 2H-NbSe2
- Imaging nanoscale Fermi surface variations in an inhomogeneous superconductor
- Collapse of the Fermi surface and fingerprints of order in the pseudogap state of cuprate superconductors
- Temperature range of superconducting fluctuations above T_c in YBa_2Cu_3O_{7-δ} single crystals
- Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
- Spectroscopic Imaging STM Studies of Electronic Structure in the Superconducting and Pseudogap Phases of Cuprate High-Tc Superconductors
- Visualizing the atomic scale electronic structure of the Ca2CuO2Cl2 Mott insulator
- Nanoscale superconducting gap variations, strong coupling signatures and lack of phase separation in optimally doped BaFe1.86Co0.14As2
- Cuprate superconductors as viewed through a striped lens
- Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
- Electron pairing in the pseudogap state revealed by shot noise in copper-oxide junctions
- Phase Diagram of BiSrCaCuO Revisited
- Electronic phase diagram of high temperature copper oxide superconductors
- Nanoscale superconducting properties of amorphous W-based deposits grown with focused-ion-beam
- Specific-Heat Measurement of Residual Superconductivity in the Normal State of Underdoped Cuprate Superconductors
- Unusual behavior of cuprates explained by heterogeneous charge localization
- Emergence of superconductivity in the cuprates via a universal percolation process
- Scanning Josephson spectroscopy on the atomic scale
- Enhanced Superconductivity in Superlattices of High- Cuprates
- Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
- The Stückelberg Holographic Superconductors with Weyl corrections
- Robustness of the Berezinskii-Kosterlitz-Thouless Transition in Ultrathin NbN Films near the Superconductor-Insulator Transition
- Theory of Superconductivity in the Cuprates
- Divergent nematic susceptibility near the pseudogap critical point in a cuprate superconductor
- Superinsulator-Superconductor Duality in Two Dimensions
- The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
- Superconducting Fluctuations, Pseudogap and Phase Diagram in Cuprates
- Optical excitation of phase modes in strongly disordered superconductors
- Local inhomogeneity and filamentary superconductivity in Pr-doped CaFeAs
- Pairing effects in the normal phase of a two-dimensional Fermi gas
- Pseudogap in underdoped cuprates and spin-density-wave fluctuations
- Paramagnons and high-temperature superconductivity in mercury-based cuprates
- London penetration depth and thermal fluctuations in the sulphur hydride 203 K superconductor
- Doping dependence of the upper critical field in La_{2-x}Sr_xCuO_4 from specific heat
- Superconducting fluctuations probed by the Higgs mode in BiSrCaCuO thin films
- Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM
- The nodal gap component as a good candidate for the superconducting order parameter in cuprates
- Influence of the pair coherence on the charge tunneling through a quantum dot connected to a superconducting lead
- Pairing Mechanism in Hunds Metal Superconductors and the Universality of the Superconducting Gap to Critical Temperature Ratio
- Temperature-dependent ellipsometry measurements of partial Coulomb energy in superconducting cuprates
- A Two Energy Gap Preformed-Pair Scenario For the Cuprates: Implications for Angle-Resolved Photoemission Spectroscopy
- Universal Behavior and the Two-component Character of Magnetically Underdoped Cuprate Superconductors
- Doping dependence of the vortex-core energy in bilayer films of cuprates
- Signatures of superconductivity and pseudogap formation in non-equilibrium nodal quasiparticles revealed by ultrafast angle-resolved photoemission
- Quantitative Raman measurements of the evolution of the Cooper-pairs density with doping in Bi2Sr2CaCu2O8+d superconductors
- Superconductivity of disordered Dirac fermions in graphene
- Dynamic cluster quantum Monte Carlo simulations of a two-dimensional Hubbard model with stripe-like charge density wave modulations: Interplay between inhomogeneity and superconductivity
- Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress
- Superconducting fluctuations in overdoped BiSrCaCuO
- Two routes to magnetic order by disorder in underdoped cuprates
- Resistivity phase diagram of cuprates revisited
- Nanoscale Proximity Effect in the High Temperature Superconductor Bi-2212
- Spectral decomposition and matrix element effects in scanning tunneling spectroscopy of BiSrCaCuO
- Inhomogeneous Magnetic-Field Response of YBa2Cu3Oy and La2-xSrxCuO4 Persisting above the Bulk Superconducting Transition Temperature
- Locating the pseudogap closing point in cuprate superconductors: absence of entrant or reentrant behavior
- Coexistence of the superconducting energy gap and pseudogap above and below the transition temperature of superconducting cuprates
- Picometer Registration of Zinc Impurity States in Bi2Sr2CaCu2O8+d for Phase Determination in Intra-unit-cell Fourier Transform STM
- The emergence of global phase coherence from local pairing in underdoped cuprates
- Nanoscale interplay of strain and doping in a high-temperature superconductor
- Linking the pseudo-gap in the cuprates with local symmetry breaking: a commentary
- High-T cuprates: a story of two electron subsystems
- Personal history of my engagement with cuprate superconductivity, 1986-2010
- Strongly-overdoped LaSrCuO: Evidence for Josephson-coupled grains of strongly-correlated superconductor
- Island formation in disordered superconducting thin films at finite magnetic fields
- Universal superconducting precursor in the cuprates
- High Temperature Superconductivity: the explanation
- Unusual dynamic charge-density-wave correlations in HgBaCuO
- Surprising Connections Between General Relativity and Condensed Matter
- Disappearance of Superconductivity Due to Vanishing Coupling in the Overdoped BiSrCaCuO
- Fragile superconductivity in the presence of weakly disordered charge density waves
- Quasi-particles ultrafastly releasing kink bosons to form Fermi arcs in a cuprate superconductor
- Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates
- Fidelity and superconductivity in two-dimensional t-J models
- Structural and Tc inhomogeneities inherent to doping in La_{2-x}Sr_xCuO_4 superconductors and their effects on the precursor diamagnetism
- Electron coherent and incoherent pairing instabilities in inhomogeneous bipartite and nonbipartite nanoclusters
- Evolution of Charge and Pair Density Modulations in Overdoped Bi2Sr2CuO6+delta
- Probing the connections between superconductivity, stripe order, and structure in La1.905Ba0.095Cu1-yZnyO4
- Holographic p-wave Superconductors in Quasi-topological Gravity
- Deep data mining in a real space: Separation of intertwined electronic responses in a lightly-doped BaFe2As2
- Doping Dependence of Two Energy Scales in the Tunneling Spectra of Superconducting LaSrCuO
- Ergodicity of the Hybridization-Expansion Monte Carlo Algorithm for Broken-Symmetry States
- The n_s - T_c correlations in granular superconductors
- Understanding the Protected Nodes and Collapse of the Fermi Arcs in Underdoped Cuprate Superconductors
- Meissner effect without superconductivity from a chiral d-density wave
- Oxygen-isotope effect on the superconducting gap in the cuprate superconductor Y_{1-x}Pr_xBa_2Cu_3O_{7-δ}
- Generalization of Anderson's Theorem for Disordered Superconductors
- The cuprate phase diagram and the influence of nanoscale inhomogeneities
- Origin of the Pseudogap in High-Temperature Cuprate Superconductors
- Local modulations of the spin-fluctuation mediated pairing interaction by impurities in d-wave superconductors
- Theory of the Fermi Arcs, the Pseudogap, and the Anisotropy in k-space of Cuprate Superconductors
- Quasiparticle Interference in STM As a Function of Temperature: Signatures of Coherence
- Gossamer bulk high-temperature superconductivity in FeSe
- Holographic superconductivity from higher derivative theory
- Anomalous Enhancement of the Superconducting Transition Temperature in Electron-Doped Cuprate Heterostructures
- Universal inhomogeneous magnetic-field response in the normal state of cuprate high-Tc superconductors
- Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
- Optical Properties of TiN Thin Films close to the Superconductor-Insulator Transition
- Non-perturbative microscopic theory of superconducting fluctuations near a quantum critical point
- Superconducting Gap, Normal State Pseudogap and Tunnelling Spectra of Bosonic and Cuprate Superconductors
- An Investigation of Particle-Hole Asymmetry in the Cuprates via Electronic Raman Scattering
- Mesoscopic gap fluctuations in an unconventional superconductor
- Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors
- Single- and many-particle description of scanning tunneling spectroscopy
- Microscopic Inhomogeneity and Superconducting Properties of a Two-dimensional Hubbard Model for High- Cuprate
- The Disordered Induced Interaction and the Phase Diagram of Cuprates
- Self-Energies and Quasiparticle Scattering Interference
- Clocking the Onset of Bilayer Coherence in a High- Cuprate
- Mott-insulator-to-superconductor transition in a two-dimensional superlattice
- Electronic structure of the ingredient planes of cuprate superconductor Bi2Sr2CuO6+δ: a comparison study with Bi2Sr2CaCu2O8+δ
- Phase fluctuations versus Gaussian fluctuations in optimally-doped YBaCuO
- Boson-Fermion Duality and Metastability in Cuprate Superconductors
- Modeling a striped pseudogap state
- Atomic manipulation of the gap in BiSrCaCuO
- Effects of charge inhomogeneities on elementary excitations in La_{2-x}Sr_xCuO_4
- Cooper pairs without 'glue' in high- superconductors
- Hole pairing from attraction of opposite chirality spin vortices: Non-BCS superconductivity in Underdoped Cuprates
- Effects of a particle-hole asymmetric pseudogap on Bogoliubov quasiparticles
- Nernst effect of high-mobility Weyl electrons in NdAlSi enhanced by a Fermi surface nesting instability
- Incoherent superconductivity well above in high- cuprates - harmonizing the spectroscopic and thermodynamic data
- Disappearance of zinc impurity resonance in large gap region on BiSrCaCuO probed by scanning tunneling spectroscopy
- Electronic Phase Separation Transition as the Origin of the Superconductivity and the Pseudogap Phase of Cuprates
- Unconventional Low-Energy Excitations of Cuprate Superconductors
- Real space inhomogeneities in high temperature superconductors: the perspective of two-component model
- Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
- The influence of out-of-plane disorder on the formation of pseudogap and Fermi arc in Bi2Sr2-xRxCuOy (R=La and Eu)
- Enhancement of the critical temperature in cuprate superconductors by inhomogeneous doping
- Pseudo-spin Skyrmions in the Phase Diagram of Cuprate Superconductors
- Spectroscopic Evidence for the Direct Involvement of Local Moments in the Pairing Process of the Heavy-Fermion Superconductor CeCoIn
- A theory of coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids: effect of dephasing on cuprate superconductivity
- Inelastic electron tunneling spectroscopy at local defects in graphene
- Hard antinodal gap revealed by quantum oscillations in the pseudogap regime of underdoped high- superconductors
- Spatially varying interactions induced in atomic gases by optical Feshbach resonance
- Enhanced Pairing Correlations near Oxygen Dopants in Cuprate Superconductors
- Unconventional temperature dependence of the cuprate excitation spectrum
- Doping Dependence of Gap Inhomogeneities at BiSrCaCuO Surfaces
- Charge segregation model for superconducting correlations in cuprates above
- Scanning tunneling microscopy with InAs nanowire tips
- Soft wall model for a holographic superconductor
- Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
- Quantitative connection between the nanoscale electronic inhomogeneity and the pseudogap of BiSrCaCuO superconductors
- Possible Competing Order-Induced Fermi Arcs in Cuprate Superconductors
- High-field muSR studies of superconducting and magnetic correlations in cuprates above Tc
- Extinction of impurity resonances in large-gap regions of inhomogeneous d-wave superconductors
- Resistivity Calculations for Cuprate Superconductor Systems using an Electronic Phase Separation
- Revised phase diagram of the high- cuprate superconductor Pb-doped BiSrCaCuO revealed by anisotropic transport measurements
- An exact solution of spherical mean-field plus orbit-dependent non-separable pairing model with two non-degenerate j-orbits
- Controlling the carrier concentration of the high temperature superconductor Bi2Sr2CaCu2O{8+x} in Angle Resolved Photoemission Spectroscopy (ARPES) experiments
- Quantitative characterization of the nanoscale local lattice strain induced by Sr dopants in LaSrCuO
- Extended strange metal regime from superconducting puddles
- Bulk and Surface Nanoscale Hole Density Inhomogeneity in HgBaCuO and BiSrCaCuO Cuprates
- Phase Diagram of the Attractive Hubbard Model with Inhomogeneous Interactions
- Spectroscopic Evidence for Competing Order-Induced Pseudogap Phenomena and Unconventional Low-Energy Excitations in High-TC Cuprate Superconductors
- Grand-canonical variational approach for the t-J model
- Superconducting fluctuations and charge-4 plaquette state at strong coupling
- Quantum Interference of Impurity Bound States in BiSrCa(CuZn)O Probed by Scanning Tunneling Spectroscopy
- A framework for the description of charge order, pseudo and superconducting gap, critical temperature and pairing interaction in cuprate superconductors
- Arc-to-pocket transition and quantitative understanding of transport properties in cuprate superconductors
- Development of spatial inhomogeneity of internal magnetic field above in BiSrCaYCuO observed by longitudinal-field muon-spin-relaxation
- Stability of nodal quasiparticles in underdoped YBa2Cu3O6+y probed by penetration depth and microwave spectroscopy
- Charge order, superconducting correlations, and SR
- Theory of Extrinsic and Intrinsic Tunnelling in Cuprate Superconductors
- Holographic p-wave superconductivity from higher derivative theory
- Nanoscale structural correlations in a model cuprate superconductor
- From Cooper-pair glass to unconventional superconductivity: a unified approach to cuprates and pnictides
- Probing the evolution of electronic phase-coexistence in complex systems by terahertz radiation
- Inhomogeneity, Fluctuations, and Gap Filling in Overdoped Cuprates
- Correlation and disorder-enhanced nematic spin response in superconductors with weakly broken rotational symmetry
- Magnetic phase diagram of the layered superconductor Bi{2+x}Sr{2-x}CuO{6+δ} (Bi2201) with Tc~7 K
- Temperature and Spatial Dependence of the Superconducting and Pseudogap of NdFeAsO0.86F0.14
- Dependence of Energy Gap and Asymmetry of Coherence Peaks in NdBaCuO
- An analytical approach to compute conductivity of p-wave holographic superconductors
- Textured Superconductivity in the Presence of a Coexisting Order: Ce115s and Other Heavy-Fermion Compounds
- Fluctuating Cu-O-Cu Bond model of high temperature superconductivity in cuprates
- Nanoscale Phenomenology from Visualizing Pair Formation Experiment
- Suppression of superconductivity by charge density wave order in YBaCuO
- Abrupt Onset of Second Energy Gap at Superconducting Transition of Underdoped Bi2212
- Mesoscopic variations of local density of states in disordered superconductors
- Noncommutative effects of charged black hole on holographic superconductors
- Anyon Bosonization of 2D Fermions and Single Boson Phase Diagram Implied from Experiment on Visualizing Pair Formation in Superconductor Bi_2Sr_2CaCu_2O_{8+δ}
- Momentum dependent gap in holographic superconductors revisited
- A negative-U interpretation of the femto-second laser pulse induced crystallographic expansion of a cuprate HTSC material reported recently by Gedik et al
- Influence of the atomic-scale inhomogeneity of the pair interaction on extracted from the STM spectra characteristics of high- superconductors
- Far-infrared measurements of oxygen-doped polycrystalline La2CuO4.0315 superconductor under slow-cooled and fast-cooled conditions
- Higher derivatives driven symmetry breaking in holographic superconductors
- Universal superconducting fluctuations and the implications for the phase diagram of the cuprates
- Evidence for a preformed Cooper pair model in the pseudogap spectra of a Ca10(Pt4As8)(Fe2As2)5 single crystal with a nodal superconducting gap
- High temperature superconductivity: Cooper pairs in trap
- Effects of vortex and antivortex excitations in underdoped BiSrCaCuO bulk single crystals
- Electronic inhomogeneities in the superconducting phase of CaFe1.96Ni0.04As2 single crystals
- Analytical study of the holographic superconductor from higher derivative theory
- The magnetic field driven superconductor-metal transition in disordered hole-overdoped cuprates
- The role of the pseudogap in cuprate superconductors revealed by the Hall effect
- Charge disorder and variations of in Zn-doped cuprate superconductors
- Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
- Signatures of superconducting gap inhomogeneities in optical properties
- The Low-Temperature Phenomenology of Gap Inhomogeneity in the Cuprate Superconductors: High-Energy Granularity, Low-Energy Homogeneity, and Spectral Kinks
- Superconductor to metal transition in overdoped cuprates
- Block model for the XY-type Landau-Ginzburg-Wilson Hamiltonian with an inhomogeneous temperature
- Empirical case for two pseudogaps in cuprate superconductors
- Generalization of interlayer tunneling models to cuprate superconductors with charge density waves
- Phonon Induced Energy Relaxation in Quantum Critical Metals
- Doping-induced evolution of the intrinsic hump and dip energies dependent on the sample fabrication conditions in BiSrCaCuO
- "Half-Bogoliubons" as the intermediate states for the phase coherence in underdoped cuprates
- Possible Spatial Correlation of Superconducting and Pseudogap Dynamics in a Bi-based Cuprate
- Josephson scanning tunneling microscopy: A local and direct probe of the superconducting order parameter
- Emergence of Fermi-liquid and BCS physics in overdoped cuprates
- Why the superfluid density tracks in cuprate superconductors?
- Metal-insulator (fermion-boson)-crossover origin of pseudogap phase of cuprates I: anomalous heat conductivity, insulator resistivity boundary, nonlinear entropy
- Correlations Among STM Observables in Disordered Unconventional Superconductors
- Intra pseudogap- and superconductivity-pair spin and charge fluctuations and underdome metal-insulator (fermion-boson)-crossover phenomena as keystones of cuprate physics
- Quantum matter in ultrahigh magnetic fields