Universal Disorder in Bi2Sr2CaCu2O8+x

Abstract

The cuprates contain a range of nanoscale phenomena that consist of both LDOS(E) features and spatial excitations. Many of these phenomena can only be observed through the use of a SI-STM and their disorder can be mapped out through the fitting of a phenomenological model to the LDOS(E). We present a study of the nanometer scale disorder of single crystal cryogenically cleaved samples of Bi2Sr2CaCu2O8+x whose dopings range from p = 0.19 to 0.06. The phenomenological model used is the Tripartite model that has been successfully applied to the average LDOS(E) previously. The resulting energy scale maps show a structured patchwork disorder of three energy scales, which can be described by a single underlying disordered parameter. This spatial disorder structure is universal for all dopings and energy scales. It is independent of the oxygen dopant negative energy resonances and the interface between the different patches takes the form of a shortened lifetime pseudogap/superconducting gap state. The relationship between the energy scales and the spatial modulations of the dispersive QPI, static q1* modulation and the pseudogap shows that the energy scales signatures in the LDOS(E) are tied to the onset and termination of the spatial excitations. The static q1* modulations local energy range is measured and its signature in the LDOS(E) is the kink, whose number of states are modulated with a wave vector of q1*. This analysis of both the LDOS(r,E) and the spatial modulations in q-space show a picture of a single underlying disordered parameter that determines both the LDOS(E) structure as well as the energy ranges of the QPI, q1* modulation and the pseudogap states. This parameter for a single patch can be defined by the Fermi surface crossing of the parent compound anti-ferromagnetic zone boundary for a model homogeneous superconductor with the same electronic properties as the patch.

References in corpus (68)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• The pseudogap: friend or foe of high Tc?
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Two Gaps Make a High Temperature Superconductor?
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• Interplay of magnetism and high-Tc superconductivity at individual Ni impurity atoms in Bi2Sr2CaCu2O8+d
• Quasiparticle Scattering Interference in High Temperature Superconductors
• Superconducting Gap Anisotropy and Quasiparticle Interactions: a Doping Dependent ARPES Study
• Progress in Neutron Scattering Studies of Spin Excitations in High-Tc Cuprates
• Phase controlled superconducting proximity effect probed by tunneling spectroscopy
• Magnetic neutron scattering in hole doped cuprate superconductors
• Effect of disorder outside the CuO${}_2$ planes on $T_c$ of copper oxide superconductors
• Anisotropic Scattering and Anomalous Transport in a High Temperature Superconductor
• Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Topological Defects Coupling Smectic Modulations to Intra-unit-cell Nematicity in Cuprate
• Imaging the impact on cuprate superconductivity of varying the inter-atomic distances within individual crystal unit-cells
• Modeling the Fermi arc in underdoped cuprates
• Dopant-modulated pair interaction in cuprate superconductors
• Disappearance of antiferromagnetic spin excitations in over-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Testing the itinerancy of spin dynamics in superconducting Bi2212
• Novel magnetic order in pseudogap state of high Tc copper oxides superconductors
• Imaging nanoscale Fermi surface variations in an inhomogeneous superconductor
• Fourier transform spectroscopy of d-wave quasiparticles in the presence of atomic scale pairing disorder
• Non-dispersive Fermi arcs and absence of charge ordering in the pseudogap phase of Bi2Sr2CaCu2O8+d
• Spectroscopic Imaging STM Studies of Electronic Structure in the Superconducting and Pseudogap Phases of Cuprate High-Tc Superconductors
• Quantum Phase Transition in the Normal State of High-Tc Cuprates at Optimum Doping
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• Observation of a d-wave nodal liquid in highly underdoped Bi_2Sr_2CaCu_2O_{8+δ}
• Observation of Weak-Limit Quasiparticle Scattering via Broadband Microwave Spectroscopy of a d-Wave Superconductor
• Enhancement of electronic inhomogeneities due to out-of-plane disorder in Bi_2Sr_2CuO_{6+delta} superconductors observed by scanning tunneling spectroscopy
• Power spectrum of many impurities in a d-wave superconductor
• Elastic Scattering Susceptibility of the High Temperature Superconductor Bi2Sr2CaCu2O8+x: A Comparison between Real and Momentum Space Photoemission Spectroscopies
• Spatial inhomogeneity and chiral symmetry of the lattice incommensurate supermodulation in high temperature superconductor Bi2Sr2CaCu2O8+y
• Local electronic structure near oxygen dopants in BSCCO-2212: a window on the high-Tc pair mechanism?
• Thermodynamic transitions in inhomogeneous d-wave superconductors
• Genuine Phase Diagram of Homogeneously Doped CuO2 Plane in High-Tc Cuprate Superconductors
• Effect of a magnetic field on the long-range magnetic order in insulating Nd2CuO4, nonsuperconducting and superconducting Nd1.85Ce0.15CuO4
• Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM
• Electronic Inhomogeneity and Breakdown of the Universal Thermal Conductivity in Cuprate Superconductors
• Correlating off-stoichiometric doping with nanoscale electronic disorder and quasiparticle interference pattern in high-$T_c$ superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Bogoliubov angle and visualization of particle-hole mixture in superconductors
• Electron-hole asymmetry and superconductivity
• Microwave conductivity of d-wave superconductors with extended impurities
• Structure of BSCCO supermodulation from ab initio calculations
• Theory of Resistivity Upturns in Metallic Cuprates
• Extinction of quasiparticle interference in underdoped cuprates with coexisting order
• Particle-hole symmetry in the antiferromagnetic state of the cuprates
• NMR Studies of pseudogap and electronic inhomogeneity in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Effect of dopant atoms on local superexchange in cuprate superconductors: a perturbative treatment
• Charge order and low frequency spin dynamics in lanthanum cuprates revealed by Nuclear Magnetic Resonance
• Anomalous dispersion in the autocorrelation of ARPES data of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Local quasiparticle lifetimes in a d-wave superconductor
• Modulation of pairing interaction in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ by an O dopant: a density functional theory study
• Influence of Disorder on the Hall Effect in Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$
• Doping Dependence of Gap Inhomogeneities at Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Surfaces
• The Three Component Electronic Structure of the Cuprates Derived from SI-STM
• High-field muSR studies of superconducting and magnetic correlations in cuprates above Tc

Cited by in corpus (16)

• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Emergence of superconductivity in the cuprates via a universal percolation process
• Unusual behavior of cuprates explained by heterogeneous charge localization
• Dynamics of correlation-frozen antinodal quasiparticles in superconducting cuprates
• Resistivity phase diagram of cuprates revisited
• Universal superconducting precursor in the cuprates
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Orientation of the intra-unit-cell magnetic moment in the high-Tc superconductor HgBa2CuO${}_{4+\delta }$
• Single-parameter scaling in the magnetoresistance of optimally doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Charge density waves as the origin of dip-hump structures in differential tunneling conductance of cuprates: the case of $d$-wave superconductivity
• The origins of macroscopic quantum coherence in high temperature super conductivity
• Features of Excess Conductivity Behavior in a Magnetic Superconductor Dy${}_{0.6}$Y${}_{0.4}$Rh${}_{3.85}$Ru${}_{0.15}$B${}_4$
• Anisotropic Time-Domain Electronic Response in Cuprates
• Nanoscale structural correlations in a model cuprate superconductor
• The k-space Origins of Scattering in Bi2Sr2CaCu2O8+x
• The Low-Temperature Phenomenology of Gap Inhomogeneity in the Cuprate Superconductors: High-Energy Granularity, Low-Energy Homogeneity, and Spectral Kinks