Energy gaps in high-transition temperature cuprate superconductors

Abstract

The spectral energy gap is an important signature that defines states of quantum matter: insulators, density waves, and superconductors have very different gap structures. The momentum resolved nature of angle-resolved photoemission spectroscopy (ARPES) makes it a powerful tool to characterize spectral gaps. ARPES has been instrumental in establishing the anisotropic d-wave structure of the superconducting gap in high-transition temperature (Tc) cuprates, which is different from the conventional isotropic s-wave superconducting gap. Shortly afterwards, ARPES demonstrated that an anomalous gap above Tc, often termed the pseudogap, follows a similar anisotropy. The nature of this poorly understood pseudogap and its relationship with superconductivity has since become the focal point of research in the field. To address this issue, the momentum, temperature, doping, and materials dependence of spectral gaps have been extensively examined with significantly improved instrumentation and carefully matched experiments in recent years. This article overviews the current understanding and unresolved issues of the basic phenomenology of gap hierarchy. We show how ARPES has been sensitive to phase transitions, has distinguished between orders having distinct broken electronic symmetries, and has uncovered rich momentum and temperature dependent fingerprints reflecting an intertwined & competing relationship between the ordered states and superconductivity that results in multiple phenomenologically-distinct ground states inside the superconducting dome. These results provide us with microscopic insights into the cuprate phase diagram.

A review article for ARPES studies on high-Tc cuprates. 6 figures

References in corpus (45)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Inelastic Light Scattering From Correlated Electrons
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Phase competition in trisected superconducting dome
• The Ground State of the Pseudogap in Cuprate Superconductors
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Modeling the Fermi arc in underdoped cuprates
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
• Pseudogap, Superconducting Gap, and Fermi Arc in High-Tc Cuprates Revealed by Angle-Resolved Photoemission Spectroscopy
• Coexistence of competing orders with two energy gaps in real and momentum space in high-Tc superconductor Bi2Sr2-xLaxCuO6+delta
• The Origin and Non-quasiparticle Nature of Fermi Arcs in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• The coherent {\it d}-wave superconducting gap in underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ as studied by angle-resolved photoemission
• Doping evolution of the electronic structure in the single-layer cuprates Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$: Comparison with other single-layer cuprates
• Direct observation of the coexistence of pseudogap and superconducting quasi-particles in Bi2212 by time-resolved optical spectroscopy
• Electronic phase diagram of high temperature copper oxide superconductors
• Evolution from a nodeless gap to d(x2-y2) form in underdoped La(2-x)SrxCuO4
• A momentum-dependent perspective on quasiparticle interference in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Monotonic d-wave Superconducting Gap in Optimally-Doped Bi${}_2$Sr${}_{1.6}$La${}_{0.4}$CuO${}_6$ Superconductor by Laser-Based Angle-Resolved Photoemission Spectroscopy
• Superconducting coherence peak in the electronic excitations of a single layer cuprate superconductor $B{i}_{2}S{r}_{1.6}L{a}_{0.4}Cu{O}_{6+\delta }$
• Pre-pairing and the "Filling" Gap in the Cuprates From the Tomographic Density of States
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates
• Superconducting electronic state in optimally doped YBa2Cu3O7-d observed with laser-excited angle-resolved photoemission spectroscopy
• Spectroscopic evidence for preformed Cooper pairs in the pseudogap phase of cuprates
• Reaffirming the $d_{x^2-y^2}$ superconducting gap using the auto-correlation angle-resolved photoemission spectroscopy of Bi${}_{1.5}$Pb${}_{0.55}$Sr${}_{1.6}$La${}_{0.4}$CuO${}_{6+\delta }$
• Doping-dependence of nodal quasiparticle properties in high-$T_{\mathrm{c}}$ cuprates studied by laser-excited angle-resolved photoemission spectroscopy
• Nanoscale phase separation in deep underdoped Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ and Ca${}_2$CuO${}_2$Cl${}_2$
• Evolution of the electronic structure from the insulator to the superconductor in Bi2Sr2-xLax(Ca,Y)Cu2O8+d
• Coexisting pseudo-gap and superconducting gap in the high-Tc superconductor La2-xSrxCuO4
• Observation of quasiparticles for phase incoherent d-wave pairing in Bi2212

Cited by in corpus (49)

• Theory of Intertwined Orders in High Temperature Superconductors
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Pseudogap from ARPES experiment: three gaps in cuprates and topological superconductivity
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Angle-resolved photoemission spectroscopy
• Nodeless pairing in superconducting copper-oxide monolayer films on Bi2Sr2CaCu2O8+δ
• Charge Order from Orbital-dependent Coupling Evidenced by NbSe${}_2$
• Square Lattice Iridates
• Time-resolved photoemission apparatus achieving sub-20-meV energy resolution and high stability
• Interface high-temperature superconductivity
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Emergent Interfacial Superconductivity between Twisted Cuprate Superconductors
• Twisted van der Waals Josephson junction based on high-Tc superconductor
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Distinct Superconducting Gap on Two Bilayer-Split Fermi Surface Sheets in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ Superconductor
• Fermi arcs and pseudogap phase in a minimal microscopic model of $d$-wave superconductivity
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Pseudogap transition within the superconducting phase in the three-band Hubbard model
• Particle-hole Asymmetry in the Cuprate Pseudogap Measured with Time-Resolved Spectroscopy
• High Temperature Superconductivity in the Cuprates
• Superconducting properties and pseudogap from preformed Cooper pairs in the triclinic (CaFe${}_{1-x}$Pt${}_x$As)${}_{10}$Pt${}_3$As${}_8$
• Order parameter fluctuation and ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• Consistent two-lifetime model for spectral functions of superconductors
• Multilayered cuprate superconductor Ba${}_2$Ca${}_5$Cu${}_6$O${}_{12}$(O${}_{1-x}$,F${}_x$)${}_2$ studied by temperature-dependent scanning tunneling microscopy and spectroscopy
• The conductivity and the magnetization around Tc in optimally-doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$ revisited: quantitative analysis in terms of fluctuating superconducting pairs
• Cuprates phase diagram deduced from magnetic susceptibility: what is the `true' pseudogap line?
• Unconventional temperature dependence of the cuprate excitation spectrum
• Phase transition into Instanton Crystal
• Anisotropic evolution of energy gap in Bi2212 superconductor
• Phase transitions to dipolar clusters and charge density waves in high Tc superconductors
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Weakly anisotropic superconductivity of Pr4Ni3O10 single crystals
• From Cooper-pair glass to unconventional superconductivity: a unified approach to cuprates and pnictides
• Two-Dimensional Phase-Fluctuating Superconductivity in Bulk-Crystalline NdO${}_{0.5}$F${}_{0.5}$BiS${}_2$
• Negligible Normal Fluid in Superconducting State of Heavily Overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Detected by Ultra-Low Temperature Angle-Resolved Photoemission Spectroscopy
• Preformed Cooper Pairs in a Triclinic Iron Pnictide Superconductor
• Unraveling pairon excitations and the antiferromagnetic contributions in the cuprate specific heat
• Oxide MBE-ARPES at SSRL Beamline 5-2
• Doping dependence and multichannel mediators of superconductivity: Calculations for a cuprate model
• Local properties of the t-J model in a two-pole approximation within COM
• Finding and classifying an infinite number of cases of the marginal phase transition in one-dimensional Ising models
• Cooper approach to pair formation in a tight-binding model of La-based cuprate superconductors
• Effects of the pseudo-gap on the field-induced kinetic energy density of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ single crystals
• Electronic Structure and Superconducting Gap of HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$ Revealed by Laser-Based Angle-Resolved Photoemission Spectroscopy
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity