High Temperature Superconductivity in the Cuprates

Abstract

The discovery of high temperature superconductivity in the cuprates in 1986 triggered a spectacular outpouring of creative and innovative scientific inquiry. Much has been learned over the ensuing 28 years about the novel forms of quantum matter that are exhibited in this strongly correlated electron system. This progress has been made possible by improvements in sample quality, coupled with the development and refinement of advanced experimental techniques. In part, avenues of inquiry have been motivated by theoretical developments, and in part new theoretical frameworks have been conceived to account for unanticipated experimental observations. An overall qualitative understanding of the nature of the superconducting state itself has been achieved, while profound unresolved issues have come into increasingly sharp focus concerning the astonishing complexity of the phase diagram, the unprecedented prominence of various forms of collective fluctuations, and the simplicity and insensitivity to material details of the "normal" state at elevated temperatures. New conceptual approaches, drawing from string theory, quantum information theory, and various numerically implemented approximate approaches to problems of strong correlations are being explored as ways to come to grips with this rich tableaux of interrelated phenomena.

References in corpus (54)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• How to detect fluctuating order in the high-temperature superconductors
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Hidden Order in the Cuprates
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Theory of Intertwined Orders in High Temperature Superconductors
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Charge order driven by Fermi-arc instability in Bi2201
• Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
• High-temperature interface superconductivity between metallic and insulating cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Defects in correlated metals and superconductors
• Electrical Resistivity Anisotropy from Self-Organized One-Dimensionality in High-Temperature Superconductors
• Intense paramagnon excitations in a large family of high-temperature superconductors
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• Energy gaps in high-transition temperature cuprate superconductors
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa${}_2$Cu${}_3$O${}_{6+x}$
• Diamagnetism and Cooper pairing above $T_c$ in cuprates
• Optically induced coherent transport far above Tc in underdoped YBa2Cu3O6+x
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Persistence of magnetic excitations in La2-xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Phase competition in trisected superconducting dome
• Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
• Signature of Superfluid Density in the Single-Particle Excitation Spectrum of Bi2Sr2CaCu2O8+delta
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Frustrated antiferromagnets with entanglement renormalization: ground state of the spin-1/2 Heisenberg model on a kagome lattice
• Spin Susceptibility in Underdoped $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6+\mathbf{x}}$
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• BCS-like Bogoliubov Quasiparticles in High-Tc Superconductors Observed by Angle-Resolved Photoemission Spectroscopy
• Direct relation between the low-energy spin excitations and superconductivity of overdoped high-$T_c$ superconductors
• Dispersive spin excitations in highly overdoped cuprates revealed by resonant inelastic x-ray scattering
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Crossover from coherent to incoherent electronic excitations in the normal state of Bi2Sr2CaCu2O8
• Phases of the infinite U Hubbard model
• Electronic phase diagram of high temperature copper oxide superconductors
• Linear Response Theory and the Universal Nature of the Magnetic Excitation Spectrum of the Cuprates
• Theory of Superconductivity in the Cuprates
• A momentum-dependent perspective on quasiparticle interference in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Neutron scattering studies on stripe phases in non-cuprate materials

Cited by in corpus (12)

• Quantum Critical Transport and the Hall Angle
• Intra-Unit-Cell magnetic correlations near optimal doping in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.85}$
• Stripe order enhanced superconductivity in the Hubbard model
• Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
• Interplay between Zhang-Rice singlets and high-spin states in a model for doped NiO${}_2$ planes
• Anomalous scalings of the cuprate strange metals from nonlinear electrodynamics
• Pressure Induced Enhancement of Superconductivity in LaRu2P2
• Holographic RG flow of thermo-electric transports with momentum dissipation
• Thermal effects in non-Fermi liquid superconductivity
• Scaling of the Holographic AC conductivity for non-Fermi liquids at criticality
• Orbital Rotations induced by Charges of Polarons and Defects in Doped Vanadates
• A Holographic Two-Impurity Kondo Model