Mottness: Identifying the Propagating Charge Modes in doped Mott Insulators

Abstract

High-temperature superconductivity in the copper-oxide ceramics remains an unsolved problem because we do not know what the propagating degrees of freedom are in the normal state. As a result, we do not know what are the weakly interacting degrees of freedom which pair up to form the superconducting condensate. That the electrons are not the propagating degrees of freedom in the cuprates is seen most directly from experiments that show spectral weight redistributions over all energy scales. Of course, the actual propagating degrees of freedom minimize such spectral rearrangements. This review focuses on the range of epxerimental consequences such UV-IR mixings have on the normal state of the cuprates, such as the pseudogap, mid-infrared band, temperature dependence of the Hall number, the superfluid density, and a recent theoretical advance which permits the identification of the weakly interacting degrees of freedom in a doped Mott insulator. Within this theory, we show how the wide range of phenomena which typify the normal state of the cuprates arises including $T-$linear resistivity.

To appear as a Colloquium in the April issue of Rev. Mod. Phys Updated version contains new references and a clarification concerning Fig. 8.

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Cited by in corpus (110)

• Hole-Doped Cuprate High Temperature Superconductors
• Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+x
• Apical oxygens and correlation strength in electron and hole doped copper oxides
• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Exact Superconducting Instability in a Doped Mott Insulator
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Dynamically Generated Gap from Holography: Mottness from a Black Hole
• Visualizing the atomic scale electronic structure of the Ca2CuO2Cl2 Mott insulator
• Mott Transition in the Two-Dimensional Hubbard Model
• Doping the holographic Mott insulator
• Intermediate Coupling Model of the Cuprates
• Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model
• Hubbard exciton revealed by time-domain optical spectroscopy
• Doublon-holon origin of the subpeaks at the Hubbard band edges
• Theoretical study of insulating mechanism in multi-orbital Hubbard models with a large spin-orbit coupling: Slater versus Mott scenario in Sr${}_2$IrO${}_4$
• Kinetic-energy driven superconductivity in cuprate superconductors
• STM imaging of symmetry-breaking structural distortion in the Bi-based cuprate superconductors
• Doped Mott Insulators Break ${\mathbb{Z}}_2$ Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Bad-Metallic Behavior of Doped Mott Insulators
• Un-Fermi Liquids: Unparticles in Strongly Correlated Electron Matter
• Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping
• The 3-Band Hubbard-Model versus the 1-Band Model for the high-Tc Cuprates: Pairing Dynamics, Superconductivity and the Ground-State Phase Diagram
• Doped NiO: the Mottness of a charge transfer insulator
• Universal linear in temperature resistivity from black hole superradiance
• Electronic structure of cuprate superconductors in a full charge-spin recombination scheme
• Differences in the quasiparticle dynamics for one-band and three-band cuprate models
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
• Mott phase in a van der Waals transition-metal halide at single layer limit
• Doublon-holon binding, Mott transition, and fractionalized antiferromagnet in the Hubbard model
• Hidden Quasiparticles and Incoherent Photoemission Spectra in Na2IrO3
• Momentum-Resolved Visualization of Electronic Evolution in Doping a Mott Insulator
• Finding New Superconductors: The Spin-Fluctuation Gateway to High Tc and Possible Room Temperature Superconductivity
• Failure of t-J models in describing doping evolution of spectral weight in x-ray scattering, optical and photoemission spectra of the cuprates
• Theory of Point Contact Spectroscopy in Correlated Materials
• Defect states and excitations in a Mott insulator with orbital degrees of freedom: Mott-Hubbard gap versus optical and transport gaps in doped systems
• Superconductivity-induced spectral weight transfer due to quantum geometry
• Defect states and spin-orbital physics in doped vanadates Y1-xCaxVO3
• Charge order driven by Fermi-arc instability and its connection with pseudogap in cuprate superconductors
• Mottness Collapse and T-linear Resistivity in Cuprate Superconductors
• Spectral properties near the Mott transition in the two-dimensional t-J model
• Cooperative Effects of Strain and Electron Correlation in Epitaxial VO2 and NbO2
• Effects of Long-Range Correlations on Nonmagnetic Mott Transitions in Hubbard model on Square Lattice
• The emergence of gauge invariance: the stay-at-home gauge versus local-global duality
• Pseudoparticle approach to 1D integrable quantum models
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Charge dynamics of the antiferromagnetically ordered Mott insulator
• Quantum Criticality and Incipient Phase Separation in the Thermodynamic Properties of the Hubbard Model
• Absence of Power-Law Mid-Infrared Conductivity in Gravitational Crystals
• Derivation of the t-J model for finite doping
• Emerging giant resonant exciton induced by Ta-substitution in anatase TiO${}_2$: a tunable correlation effect
• Local Entropies across the Mott Transition in an Exactly Solvable Model
• Holon-Doublon Binding as the Mechanism for the Mott transition
• States induced in the single-particle spectrum by doping a Mott insulator
• Emergence of Quasiparticles in a Doped Mott Insulator
• Pseudogap-induced coexistence of Fermi arcs and Fermi pockets in cuprate superconductors
• Characteristics of the Mott transition and electronic states of high-temperature cuprate superconductors from the perspective of the Hubbard model
• Realizing infrared power-law liquids in the cuprates from unparticle interactions
• Doping dependence of charge order in electron-doped cuprate superconductors
• Autocorrelation of quasiparticle spectral intensities and its connection with quasiparticle scattering interference in cuprate superconductors
• Holographic superconductor on a novel insulator
• Relationship between single-particle excitation and spin excitation at the Mott Transition
• Interplay between charge order and superconductivity in cuprate superconductors
• Anomalous electron spectrum and its relation to peak structure of electron scattering rate in cuprate superconductors
• Extracting correlation effects from Momentum-Resolved Electron Energy Loss Spectroscopy (M-EELS): Synergistic origin of the dispersion kink in Bi${}_{2.1}$Sr${}_{1.9}$CaCu${}_2$O${}_{8+x}$
• Origin of strange metallic phase in cuprate superconductors
• Doublon-holon excitations split by Hund's rule coupling within the orbital-selective Mott phase
• Finite-Temperature Charge Dynamics and the Melting of the Mott Insulator
• Spectral Weight Transfer in Multi-Orbital Mott Systems
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Optical conductivity due to orbital polarons in systems with orbital degeneracy
• Electronic correlation determining correlated plasmons in Sb-doped Bi${}_2$Se${}_3$
• Many-body energy invariant for $T$-linear resistivity
• Dynamical spin response in cuprate superconductors from low-energy to high-energy
• Phase transitions to dipolar clusters and charge density waves in high Tc superconductors
• Electronic inhomogeneity and band structure on superstructural CuO2 planes of infinite-layer Sr0.94La0.06CuO2+y films
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-$z$ limit
• Exact path-integral evaluation of locally interacting systems: The subtlety of operator ordering
• Mott transition and electronic excitation of the Gutzwiller wavefunction
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Pseudogap-induced anisotropic suppression of electronic Raman response in cuprate superconductors
• Designing Heterostructures with Higher Temperature Superconductivity
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Doping and momentum dependence of coupling strength in cuprate superconductors
• Renormalization of electrons in bilayer cuprate superconductors
• Emergence of electronic modes by doping Kondo insulators in the Kondo lattice and periodic Anderson models
• Temperature-driven change in band structure reflecting spin-charge separation of Mott and Kondo insulators
• Twisting the Hubbard model into the Momentum-Mixing Hatsugai-Kohmoto Model
• Not all doped Mott insulators have a pseudogap: key role of van Hove singularities
• Fractionalize This
• Dilute magnetic moments in an exactly solvable interacting host
• Unveiling Stripe-shaped Charge Density Modulations in Doped Mott Insulators
• Evolution of electron Fermi surface with doping in cobaltates
• Non-equilibrium Transport in the Strange Metal and Pseudogap phases of the Cuprates
• Relation between high-energy quasiparticles of quasi-one-dimensional antiferromagnets in a magnetic field and a doublon of a Hubbard chain
• Characterizing Featureless Mott Insulating State by Quasiparticle Interferences - A Dynamical Mean Field Theory Prospect
• Low-lying quasiparticle excitations in strongly-correlated superconductors: An ansatz from BCS quasiparticle excitations?
• The Luttinger Count is the Homotopy not the Physical Charge: Generalized Anomalies Characterize Non-Fermi Liquids
• Dynamical $t/U$ Expansion of the Doped Hubbard Model
• Charge dynamics in doped Mott insulators on a honeycomb lattice
• Asymmetric doping dependence of superconductivity between hole- and electron-doped triangular-lattice superconductors
• Emergence and evolution of electronic modes with temperature in spin-gapped Mott and Kondo insulators
• Orbital-Selective Spin-Orbit Mott Insulator in Fractional Valence Iridate La${}_3$Ir${}_3$O${}_{11}$
• Concealed Mott Criticality: Unifying the Kondo Breakdown and Doped Charge-Transfer Insulators
• Binding carriers to a non-magnetic impurity in a two-dimensional square Ising antiferromagnet
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder
• Electronic modes induced by spin and charge perturbations in Mott and Kondo insulators
• Stranger than Metals
• Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations