A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases

Abstract

The Van Hove singularity (VHS) provides a paradigm for the study of the role of peaks in the density of states (dos) on electronic properties. More importantly, it appears to play a major role in the physics of the high-T_c superconductors, particularly since recent photoemission studies have found that the VHS is close to the Fermi level in most of the high-T_c cuprates near the composition of optimum T_c. This paper offers a comprehensive survey of the VHS model, describing both theoretical properties and experimental evidence for the picture. Special topics discussed include a survey of the Fermi surfaces of the cuprates and related compounds, and an analysis of the reliability of the slave boson approach to correlation effects. While many properties of the cuprates can be qualitatively understood by a simple rigid-band-filling model, this is inadequate for more quantitative results, since correlation effects tend to pin the Fermi level near the VHS over an extended doping range, and can lead to a nanoscale phase separation. Furthermore, the peaks in the dos lead to competition from other instabilities, both magnetic and structural (related to charge density waves). A novel form of dynamic structural instability, involving dynamic VHS-Jahn-Teller effects has been predicted. Scattered through the literature, there is considerable experimental evidence for both nanoscale phase separation of holes, and for local, possibly dynamic, structural disorder. This review attempts to gather these results into a comprehensive database, to sort the results, and to see how they fit into the Van Hove scenario. Recent experiments on underdoped cuprates are found to provide a strong confirmation that the pseudogap is driven by a splitting of the VHS degeneracy.

125 pages, latex, 73 figures available on request, to be published in J. Phys. Chem. Sol

References in corpus (91)

• Correlated Electrons in High Temperature Superconductors
• Double Exchange Alone Does Not Explain the Resistivity of $L{a}_{1-x}S{r}_{x}Mn{O}_3$
• Dynamic Jahn-Teller Effect and Colossal Magnetoresistance in $L{a}_{1-x}{A}_{x}Mn{O}_3$
• Renormalization Group Approach to Interacting Fermions
• The Flux-Line Lattice in Superconductors
• Scaling Theory of the Integer Quantum Hall Effect
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in La(1.6-x)Nd(0.4)Sr(x)CuO(4)
• Theory of Underdoped Cuprates
• Unconventional Ferromagnetic Transition in La1-xCaxMnO3
• Cooperative Jahn-Teller Effect and Electron-Phonon Coupling in $L{a}_{1-x}{A}_{x}Mn{O}_3$
• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Vortex motion and the Hall effect in type II superconductors: a time dependent Ginzburg-Landau theory approach
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• Low Energy Dynamics of the Spinon-Gauge System
• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
• Electronic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ : Fermi surface, dispersion, and absence of bilayer splitting
• Magnetic scaling in cuprate superconductors
• Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds
• Bosonization and Fermion Liquids in Dimensions Greater Than One
• Theory of the Resonant Neutron Scattering of High $T_c$ Superconductors
• Electron--Vibron Interactions and Berry Phases in Charged Buckminsterfullerene: Part I
• Superconductivity-Induced Anomalies in the Spin Excitation Spectra of Underdoped YBa_2 Cu_3 O_{6+x}
• d-wave superconductivity near charge instabilities
• Implications of Charge Ordering for Single-Particle Properties of High-Tc Superconductors
• Theory of Neutron Scattering in the Normal and Superconducting State of YBCO
• Bosonization of the Low Energy Excitations of Fermi Liquids
• Bosonization of Fermi liquids
• Superconductivity Near Phase Separation in Models of Correlated Electrons
• The Electron-Phonon Interaction in the Presence of Strong Correlations
• Electron--Vibron Interactions in Charged Buckminsterfullerene: Pair Energies and Spectra (Part II)
• NMR and Neutron Scattering Experiments on the Cuprate Superconductors: A Critical Re-Examination
• The Anomalous Hall Effect in YBa${}_2$Cu${}_3$O${}_7$
• Magnetic Dynamics in Underdoped YBCO: Direct Observation of a Superconducting Gap
• Neutron scattering and superconducting order parameter in YBa2Cu3O7
• Charge-density-waves and superconductivity as an alternative to phase separation in the infinite-U Hubbard-Holstein model
• d_{x^2-y^2} Symmetry and the Pairing Mechanism
• Intercalation and Staging Behavior in Super-Oxygenated $L{a}_{2}Cu{O}_{4+\delta }$
• Doped planar quantum antiferromagnets with striped phases
• Separation of Spin and Charge Quantum Numbers in Strongly Correlated Systems
• Avoided Critical Behavior in a Uniformly Frustrated System
• Observation of a van Hove Singularity in $B{i}_{2}S{r}_{2}C{a}_{1}C{u}_2{O}_{8+x}$ with Angle Resolved Photoemission
• A Possible Phononic Mechanism for $d_{x^2-y^2}$-Superconductivity in the Presence of Short-Range AF Correlations
• s-wave superconductivity from antiferromagnetic spin-fluctuation model for bilayer materials
• Relation of Extended Van Hove Singularities to High-Temperature Superconductivity within Strong-Coupling Theory
• Quasiparticle energy dispersion in doped two dimensional quantum antiferromagnets
• Three-dimensional electronic instabilities in polymerized solid A1C60
• Optical phonons along the c axis of YBa_2Cu_3O_{6+x}, for x=0.5 -> 0.95
• Phenomenological BCS theory of the high-$T_c$ cuprates
• The Nonequilibrium Dynamics of Driven Line Liquids
• Nesting Mechanism for d-symmetry Superconductors
• On the Stability and Single-Particle Properties of Bosonized Fermi Liquids
• Renormalization group analysis of electrons near a Van Hove singularity.
• Spin-Phonon Coupling in the Single-Layer Extended t-J Model
• Non-magnetic impurity scattering in a $d_{x^2-y^2}$ superconductor near a van Hove point: Zn versus Ni in the cuprates
• Shadow features and shadow bands in the paramagnetic state of cuprate superconductors
• Effective Action and Renormalization Group Flow of Anisotropic Superconductors
• Antiferromagnetic Excitations and Van Hove Singularities in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Metallic Non-Fermi Liquid Phases of an Extended Hubbard Model in Infinite Dimensions
• Quantum Monte Carlo Evidence for d-wave Pairing in the 2D Hubbard Model at a van Hove Singularity
• Theory of Coexisting Transverse Spin Freezing and Long-Ranged Antiferromagnetic Order in Lightly Doped La_{2-x}Sr_x CuO_4
• $P{b}_{0.4}B{i}_{1.6}S{r}_{2}C{a}_{1}C{u}_2{O}_{8+x}$ and Oxygen Stoichiometry: Structure, Resistivity, Fermi Surface Topology and Normal State Properties
• Polarization Selection Rules and Superconducting Gap Anisotropy in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_8$
• "Chain scenario" for Josephson tunneling with pi-shift in YBa2Cu3O7
• Vibrations and Berry Phases of Charged Buckminsterfullerene
• Conductivity of CuO${}_3$-Chains: Disorder versus Electron-Phonon Coupling
• Superconducting Order Parameter in Bi-Layer Cuprates: Occurrence of $\pi$ Phase Shifts in Corner Junctions
• Neutron scattering in a d_{x^2-y^2}-wave superconductor with strong impurity scattering and Coulomb correlations
• On the Liaison Between Superconductivity and Phase Separation
• Doping Dependence of the Chemical Potential in Cuprate High-$T_{\mathrm{c}}$ Superconductors I: La${}_{2-x}$Sr${}_x$CuO${}_4$
• Effect of Structure on the Electronic Density of States of Doped Lanthanum Cuprate
• The Phase Diagram of Correlated Electrons in a Lattice of Berry Molecules
• Van Hove Exciton-Cageons and High-T${}_c$ Superconductivity: VIIID Solitons and Nonlinear Dynamics
• Effect of van Hove Singularities on a Spin Liquid
• Enhanced Electron Pairing in a Lattice of Berry Phase Molecules
• Van Hove Excitons and High-T${}_c$ Superconductivity: VIIIC Dynamic Jahn-Teller Effects vs Spin-Orbit Coupling in the LTO Phase of La${}_{2-x}$Sr${}_x$CuO${}_4$
• Exact diagonalization study of the two-dimensional t-J-Holstein model
• Correlated local distortions of the TlO layers in Tl${}_2$Ba${}_2$CuO${}_y$: An x-ray absorption study
• Electron Propagation in Orientationally Disordered Fullerides
• Anisotropic Pairing on a Three-Band Fermi Surface for $A_3{\mathrm{C}}_{60}$
• Coupling to optical phonons in the one-dimensional t-J model: Effects on superconducting fluctuations and phase separation
• Phase separation in the large-spin {\it t}-{\it J} model
• Superconducting Upper Critical Field Near a 2D Van Hove Singularity
• Antiferromagnetic Interactions and the Superconducting Gap Function
• Electronic Theory for the Transition from Fermi-Liquid to Non-Fermi-Liquid Behavior in High-T${}_c$ Superconductors
• Landau theory of phase separation in cuprates
• Van Hove Exciton-Cageons and High-T${}_c$ Superconductivity, XA: Role of Spin-Orbit Coupling in Generating a Diabolical Point
• Tight-Binding Parametrization of First-Principles Electronic Dispersion in Orientationally Disordered A3c60
• Van Hove Exciton-Cageons and High-T${}_c$ Superconductivity: XB: Polaronic Coupling in the Doped Material
• Numerical Evidence of Luttinger and Fermi Liquid Behaviour in the 2D Hubbard Model
• Aspects of the normal state phase of copper oxide planes in high Tc superconductors

Cited by in corpus (142)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• The Hubbard Model
• Doping dependent evolution of the electronic structure of La2-xSrxCuO4 in the superconducting and metallic phases
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Efficient Parametrization of the Vertex Function, $\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
• Kohn-Luttinger superconductivity in graphene
• Neutron diffraction evidence of microscopic charge inhomogeneities in the CuO2 plane of superconducting La2-xSrxCuO4 (0 < x <0.30)
• Superconductivity Near Ferromagnetism in MgCNi3
• Pseudogap from ARPES experiment: three gaps in cuprates and topological superconductivity
• Re-entrant charge order in overdoped (Bi,Pb)${}_{2.12}$Sr${}_{1.88}$CuO${}_{6+\delta }$ outside the pseudogap regime
• Charge-Stripe Ordering From Local Octahedral Tilts: Underdoped and Superconducting La2-xSrxCuO4 (0 < x < 0.30)
• Robustness of the van Hove scenario for high-Tc superconductors
• Resistivity in the Vicinity of a Van Hove Singularity: Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• The Hubbard model within the equations of motion approach
• Effects of the Van Hove singularities on magnetism and superconductivity in the t-t' Hubbard model: a parquet approach
• A unique van Hove singularity in kagome superconductor CsV${}_{3-x}$Ta${}_x$Sb${}_5$ with enhanced superconductivity
• Classification of Critical Points in Energy Bands Based on Topology, Scaling and Symmetry
• Self-energy flows in the two-dimensional repulsive Hubbard model
• Stripe formation: A quantum critical point for cuprate superconductors
• Intrinsic tunneling spectra of Bi_2(Sr_{2-x}La_x)CuO_6
• Intermediate Coupling Model of the Cuprates
• Time of life as it is in LiFeAs
• Deformation of the Fermi surface in the extended Hubbard model
• Shape resonance for the anisotropic superconducting gaps near a Lifshitz transition: the effect of electron hopping between layers
• Lifshitz Transition in the Two Dimensional Hubbard Model
• Van Hove singularity and ferromagnetic instability in phosphorene
• Realization of a hole-doped Mott insulator on a triangular silicon lattice
• Spin-density-wave instability in graphene doped near the van Hove singularity
• Dual parquet scheme for the two-dimensional Hubbard model: modelling low-energy physics of high-$T_c$ cuprates with high momentum resolution
• Mode-Coupling Model of Mott Gap Collapse in the Cuprates: Natural Phase Boundary for Quantum Critical Points
• The toy model for the high-Tc superconductivity
• Anisotropic superconductivity in the two-dimensional electron-phonon system
• Pomeranchuk instability in doped graphene
• Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
• Stripes, Vibrations and Superconductivity
• Anomalous Fermi-Surface Dependent Pairing in a Self-Doped High-Tc Superconductor
• Pinned Balseiro-Falicov Model of Tunneling and Photoemission in the Cuprates
• Van Hove singularities in the paramagnetic phase of the Hubbard model: a DMFT study
• Competing Orders and Ultrafast Energy Transfer at the Quantum Limit in a Nb${}_3$Sn Superconductor Probed by Terahertz Electrodynamics
• Differentiated roles of Lifshitz transition on thermodynamics and superconductivity in La2-xSrxCuO4
• Resistivity phase diagram of cuprates revisited
• Dispersion of Ordered Stripe Phases in the Cuprates
• Correlation effects in electronic structure of PuCoGa5
• Evolution of the Superconductivity Dome in the two dimensional Hubbard Model
• Stripes, Pseudogaps, and Van Hove Nesting in the Three-band tJ Model
• Saddle-point von Hove singularity and dual topological insulator state in Pt${}_2$HgSe${}_3$
• Renormalization group aspects of graphene
• Non-Fermi liquid signatures in the Hubbard Model due to van Hove singularities
• Role of the van Hove Singularity in the Quantum Criticality of the Hubbard Model
• Theory of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Cross-Whisker Josephson Junctions
• High Van Hove singularity extension and Fermi velocity increase in epitaxial graphene functionalized by gold clusters intercalation
• Non-Fermi-liquid scattering rates and anomalous band dispersion in ferropnictides
• Deviation from the Fermi-Liquid Transport Behavior in the Vicinity of a Van Hove Singularity
• Anomalous Fermi Liquid Behavior of Overdoped High-Tc Superconductors
• Spin-polarized quasiparticle transport in cuprate superconductors
• Electronic band structure of optimal superconductors: from cuprates to ferropnictides and back again
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• The pseudogap in Bi2212 single crystals from tunneling measurements: a possible evidence for the Cooper pairs above Tc
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Archetypical "push the band critical point" mechanism for peaking of the density of states in three-dimensional crystals: Theory and case study of cubic H${}_3$S
• Bogoliubov Quasiparticle on the Gossamer Fermi Surface in Electron-Doped Cuprates
• The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene
• Superconductivity in a two dimensional extended Hubbard model
• Surface charge-transfer doping a quantum-confined silver monolayer beneath epitaxial graphene
• Charge instabilities near a Van Hove singularity
• Probing a divergent van Hove singularity of graphene with a Ca${}_2$N support: a layered electride as a solid-state dopant
• Electronic structure of Li2Pd3B and Li2Pt3B
• Tight-binding modelling of the electronic band structure of layered superconducting perovskites
• The Kohn-Luttinger superconductivity in idealized doped graphene
• Novel Fine-Structure in the Low-Energy Excitation Spectrum of a High-Tc Superconductor by Polarization Dependent Photoemission
• DMRG and the Two Dimensional t-J Model
• Coherence lengths for superconductivity in the two-orbital negative-U Hubbard model
• The Hubbard model with intersite interaction within the Composite Operator Method
• Dynamical Adjustment of Propagators in Renormalization Group Flows
• A Fermi Surface study of Ba${}_{1-x}$K${}_x$BiO${}_3$
• Strong Influence of Phonons on the Electron Dynamics of Bi2212
• Thermodynamic properties of Bi2Sr2CaCu2O8 calculated from the electronic dispersion
• Effects of proximity to an electronic topological transition on normal state transport properties of the high-Tc superconductors
• Resistivity and Thermopower of Ni2.19Mn0.81Ga
• Quasiparticle scattering rate in overdoped superconducting cuprates
• Effects of an electronic topological transition for anisotropic low-dimensional superconductors
• Statistical Model of Superconductivity in a 2D Binary Boson-Fermion Mixture
• Statistical Model of Superconductivity in a 2D Binary Boson-Fermion Mixture
• Stripes, pseudogaps, and SO(6) in the cuprate superconductors
• Anelastic relaxation process of polaronic origin in La{2-x}Sr{x}CuO{4}: interaction between the charge stripes and pinning centers
• Structure optimization effects on the electronic properties of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$
• Controlling charge density order in 2H-TaSe${}_2$ using a van Hove singularity
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Exactly solvable model of strongly correlated $d$-wave superconductivity
• Singular Fermi Surfaces II. The Two--Dimensional Case
• Spin-orbit coupling induced Van Hove singularity in proximity to a Lifshitz transition in Sr${}_4$Ru${}_3$O${}_{10}$
• Superfluid ground state phase diagram of the two-dimensional Hubbard model in the emergent Bardeen-Cooper-Schrieffer regime
• Pseudogap Behavior Revealed in Interlayer Tunneling in Overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• A systematic study of the superconducting critical temperature in two and three dimensional tight-binding models: a possible scenario for superconducting H${}_3$S ?
• Superconductivity of overdoped cuprates: the modern face of the ancestral two-electron exchange
• Interorbital pair scattering in clean and impure superconductors
• Phase Separation Models for Cuprate Stripe Arrays
• Can Van Hove singularities be observed in relativistic heavy-ion collisions ?
• Nanoscale phase separation in deep underdoped Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ and Ca${}_2$CuO${}_2$Cl${}_2$
• A Hybrid-Monte-Carlo study of monolayer graphene with partially screened Coulomb interactions at finite spin density
• Superconductivity in bilayer $t$-$t^{\prime }$ Hubbard models
• Theory of ARPES in Graphene-Based Moiré Superlattices
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• Van Hove Singularity and D-Wave Pairing in Disordered Superconductors
• High-$T_c$ Berezinskii-Kosterlitz-Thouless transition in 2D superconducting systems with coupled deep and quasi-flat electronic bands with van Hove singularities
• THz phonon spectroscopy of doped superconducting cuprates
• Remnant Fermi Surfaces in Photoemission
• Tunable interface states between Floquet-Weyl semimetals
• Band filling effects on coherence lengths and penetration depth in the two-orbital negative-U Hubbard model of superconductivity
• The incommensurate charge-density-wave instability in the extended three-band Hubbard model
• Effective Field Theory of 2D van Hove Singularities
• Wilsonian effective field theory of 2D van Hove singularities
• Phase diagrams of singlet superconducting states with mixed symmetry
• Charge-density-wave formation by Van Hove nesting in the α-phase of Sn/Ge(111)
• Kohn-Luttinger superconductivity in monolayer and bilayer semimetals with the Dirac spectrum
• Van Hove Singularity and Superconductivity in Disordered Hubbard Model
• Correlation induced $d$-wave pairing in quantum dot square lattice
• Singular Fermi Surfaces I. General Power Counting and Higher Dimensional Cases
• The hidden competing phase revealed by first-principles calculations of phonon instability in the nearly optimally doped cuprate La${}_{1.875}$Sr${}_{0.125}$CuO${}_4$
• Friedel oscillation near a van Hove singularity in two-dimensional Dirac materials
• Anomalous superconductivity and superfluidity in repulsive fermion systems
• Lifshitz transition in two-dimensional spin-density wave models
• Superconductivity of strongly correlated electrons on the honeycomb lattice
• Hole-pair symmetry and excitations in the strong-coupling extended t-Jz model: competition between d-wave and p-wave
• Flux Phase as a Dynamic Jahn-Teller Phase: Berryonic Matter in the Cuprates?
• Superconducting and pseudogap phases from scaling near a Van Hove singularity
• Van Hove Singularities in the Quark-Gluon Plasma
• Vestigial Van Hove singularity and higher-temperature superconducting phase induced by perpendicular uniaxial pressures in quasi-two-dimensional superconductors
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Moiré superlattices of antimonene on a Bi(111) substrate with van Hove singularity and Rashba-type spin polarization
• Unbalanced superconductivity induced by the constant electron-phonon coupling on a square lattice
• Non-BCS temperature dependence of energy gap in thin film electron-doped cuprates
• Theoretical investigation of the four-layered self-doped high-T${}_c$ superconductors: evidence of pair tunneling effect
• Critical analysis of the response function in low dimensional materials
• Anisotropic Fermi surfaces and Kohn-Luttinger superconductivity in two dimensions
• Band Crossing and Novel Low-Energy Behaviour in a Mean Field Theory of a Three-Band Model on a Cu--O lattice
• Van-Hove singularities and competing instabilities in an altermagnetic metal
• Illuminating the Bragg intersections as roots of Dirac nodal lines and high-order van Hove singularities
• Coupled First-Order Transitions In A Fermi-Bose Mixture
• Effects of Ba doping on the structural and electronic properties of La${}_{2-x}$Ba${}_x$CuO${}_4$
• Determination of density of states of thin high-$T_c$ films by FET type microstructures