Intermediate Coupling Model of the Cuprates

Abstract

We review the intermediate coupling model for treating electronic correlations in the cuprates. Spectral signatures of the intermediate coupling scenario are identified and used to adduce that the cuprates fall in the intermediate rather than the weak or the strong coupling limits. A robust, `beyond LDA' framework for obtaining wide-ranging properties of the cuprates via a GW-approximation based self-consistent self-energy correction for incorporating correlation effects is delineated. In this way, doping and temperature dependent spectra, from the undoped insulator to the overdoped metal, in the normal as well as the superconducting state, with features of both weak and strong coupling can be modeled in a material-specific manner with very few parameters. Efficacy of the model is shown by considering available spectroscopic data on electron and hole doped cuprates from angle-resolved photoemission (ARPES), scanning tunneling microscopy/spectroscopy (STM/STS), neutron scattering, inelastic light scattering, optical and other experiments. Generalizations to treat systems with multiple correlated bands such as the heavy-fermions, the ruthenates, and the actinides are discussed.

Review to be published in Advances in Physics. 120 pages, 58 figures

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• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
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• Towards resolution of the Fermi surface in underdoped high-Tc superconductors
• A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
• High Tc Superconductors -- A Variational Theory of the Superconducting State
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• Cluster Dynamical Mean Field analysis of the Mott transition
• Strength of Correlations in electron and hole doped cuprates
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• Multiple Bosonic Mode Coupling in Electron Self-Energy of (La_2-xSr_x)CuO_4
• Electronic Structure of La2-xSrxCuO4 in the Vicinity of the Superconductor-Insulator Transition
• Neutron scattering study of the magnetic phase diagram of underdoped YBa(2)Cu(3)O(6+x)
• Universal relation between magnetic resonance and superconducting gap in unconventional superconductors
• Mottness: Identifying the Propagating Charge Modes in doped Mott Insulators
• Landau Theory of the Finite Temperature Mott Transition
• d-wave Superconductivity in the Hubbard Model
• Numerically Exact Long Time Magnetization Dynamics at the Nonequilibrium Kondo Crossover of the Anderson Impurity Model
• High-energy kink in high-temperature superconductors
• Universal Dispersive Excitations in the High-Temperature Superconductors
• Importance of matrix elements in the ARPES spectra of BISCO
• Comparing pertinent effects of antiferromagnetic fluctuations in the two and three dimensional Hubbard model
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• The hierarchy of multiple many-body interaction scales in high-temperature superconductors
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• Anomalous low doping phase of the Hubbard model
• Covalent bonding and magnetism in cuprates
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• Novel neutron resonance mode in $d_{x^2-y^2}$ superconductors
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• Resonant Inelastic X-Ray Scattering from Valence Excitations in Insulating Copper-Oxides
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• Angular fluctuations of a multi-component order describe the pseudogap regime of the cuprate superconductors
• Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
• Efficient perturbation theory for quantum lattice models
• Anomalous high energy dispersion in photoemission spectra from insulating cuprates
• Resonance in the electron-doped high-Tc superconductor Pr0.88LaCe0.12CuO(4-delta)
• High-energy scale revival and giant kink in the dispersion of a cuprate superconductor
• Optical determination of the relation between the electron-boson coupling function and the critical temperature in high T${}_c$ cuprates
• Measurement of magnetic excitations in the two-dimensional antiferromagnetic Sr2CuO2Cl2 insulator using resonant x-ray scattering:Evidence for extended interactions
• Revealing the high-energy electronic excitations underlying the onset of high-temperature superconductivity in cuprates
• Optical conductivity and the correlation strength of high temperature copper-oxide superconductors
• Anomalous isotopic effect near the charge-ordering quantum criticality
• Critical properties of the half-filled Hubbard model in three dimensions
• Resonant magnetic excitations at high energy in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• Momentum-sector-selective metal-insulator transition in the eight-site dynamical mean-field approximation to the Hubbard model in two dimensions
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
• Pairing in cuprates from high energy electronic states
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Does Simple Two-Dimensional Hubbard Model Account for High-Tc Superconductivity in Copper Oxides?
• Doping-dependent nodal Fermi velocity in Bi-2212 revealed by high-resolution ARPES
• Where is the spectral weight in magnetic neutron scattering in the cuprates?
• "Waterfalls" phenomenon in superconducting cuprates
• Testing the itinerancy of spin dynamics in superconducting Bi2212
• "Waterfalls" in cuprates
• Momentum and excitation energy dependence of the "waterfalls" in cuprates
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• An Isotopic Fingerprint of Electron-Phonon Coupling in High-Tc Cuprates
• High energy kink in the single particle spectra of the two-dimensional Hubbard model
• Photoemission and the Electronic Structure of PuCoGa5
• d_{x^2-y^2} Symmetry and the Pairing Mechanism
• The neutron resonance in the cuprates and its effect on fermionic excitations
• Charge dynamics of doped holes in high Tc cuprates - A clue from optical conductivity
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• Identification of a New Form of Electron Coupling in Bi2Sr2CaCu2O8 Superconductor by Laser-Based Angle-Resolved Photoemission
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• Fluctuating spin density waves in metals
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• Matrix element effects in angle-resolved photoemission from Bi2212: Energy and polarization dependencies, final state spectrum, spectral signatures of specific transitions and related issues
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• A distinct bosonic mode in an electron-doped high-transition-temperature superconductor
• What the resonance peak cannot do
• Impurity states and interlayer tunneling in high temperature superconductors
• Inversion of K${}_3$C${}_{60}$ Reflectance Data
• Energetics of superconductivity in the two dimensional Hubbard model
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• Spectroscopic Imaging STM Studies of Electronic Structure in the Superconducting and Pseudogap Phases of Cuprate High-Tc Superconductors
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study
• Many-Body Approximation Scheme Beyond GW
• Cascade of phase transitions in the vicinity of a quantum critical point
• Andreev Bound States in High Temperature Superconductors
• Spin Correlations and Magnetic Order in Nonsuperconducting Nd_{2-x}Ce_xCuO_{4\pmδ}
• Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
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• Influence of the Third Dimension of Quasi-Two-Dimensional Cuprate Superconductors on Angle-Resolved Photoemission Spectra
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Phase Diagram of the Hubbard Model: Beyond the Dynamical Mean Field
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• Evidence for strong electronic correlations in the spectra of Sr${}_2$RuO${}_4$
• Cuprate Fermi orbits and Fermi arcs: the effect of short-range antiferromagnetic order
• Spatially Modulated Electronic Nematicity in the Three-Band Model of Cuprate Superconductors
• Spectroscopic distinction between the normal state pseudogap and the superconducting gap of cuprate high T_{c} superconductors
• Coupling to spin fluctuations from conductivity scattering rates
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• High Frequency Behavior of the Infrared Conductivity of Cuprates
• Phenomenological description of the two energy scales in underdoped superconducting cuprates
• Evolution from a nodeless gap to d(x2-y2) form in underdoped La(2-x)SrxCuO4
• First direct observation of the Van Hove singularity in the tunneling spectra of cuprates
• Combined density-functional and dynamical cluster quantum Monte Carlo calculations for three-band Hubbard models for hole-doped cuprate superconductors
• Magnetic Penetration Depth Measurements of Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ Films on Buffered Substrates: Evidence for a Nodeless Gap
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Identifying spin-triplet pairing in spin-orbit coupled multi-band superconductors
• Correlation Strength, Gaps and Particle-Hole Asymmetry in High-Tc Cuprates: a Dynamical Mean Field Study of the Three-Band Copper-Oxide Model
• Extremely Correlated Fermi Liquids
• Persistence of Strong Electron Coupling to a Narrow Boson Spectrum in Overdoped BiSrCaCuO (Bi2212) Tunneling Data
• Magnetic Excitations and their energy change available to Superconducting Condensation in Optimally Doped YBa${}_2$Cu${}_3$O${}_{6.95}$
• When low- and high-energy electronic responses meet in cuprate superconductors
• Competing ferromagnetism in high temperature copper oxide superconductors
• Hole superconductivity in the electron-doped superconductor PCCO
• Evidence for competing magnetic instabilities in underdoped $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$
• Optical Conductivity of the t-J model within Cluster Dynamical Mean Field Theory
• Evolution of the gaps through the cuprate phase-diagram
• Fully Gapped Single-Particle Excitations in the Lightly Doped Cuprates
• Lifshitz Transition in the Two Dimensional Hubbard Model
• Origin of electron-hole asymmetry in the scanning tunneling spectrum of $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$
• Nodeless d-wave superconducting pairing due to residual antiferromagnetism in underdoped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$
• The magnetic states of lightly hole-doped cuprates in the clean limit
• A competing order scenario of two-gap behavior in hole doped cuprates
• Paramagnon-induced dispersion anomalies in the cuprates
• Low-energy (< 10 meV) feature in the nodal electron self-energy and strong temperature dependence of the Fermi velocity in Bi(2)Sr(2)CaCu(2)O(8+delta)
• Mode-Coupling Model of Mott Gap Collapse in the Cuprates: Natural Phase Boundary for Quantum Critical Points
• Preeminent role of the Van Hove singularity in the strong-coupling analysis of scanning tunneling spectroscopy for two-dimensional cuprates
• Origin of the high-energy kink or the waterfall effect in the photoemission spectrum of the $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_8$ high-temperature superconductor
• Momentum Dependence of the Single-Particle Self-Energy and Fluctuation Spectrum of Slightly Underdoped Bi_2 Sr_2 CaCu_2 O_{8+δ} from High Resolution Laser ARPES
• Systematic analysis of a spin-susceptibility representation of the pairing interaction in the 2D Hubbard model
• Optical model-solution to the competition between a pseudogap phase and a Mott-gap phase in high-temperature cuprate superconductors
• Charge-Transfer Excitations in the Model Superconductor HgBa${}_2$CuO${}_{4+\delta }$
• Two-particle response in Cluster Dynamical Mean-Field Theory: Formalism and application to the Raman Response of High-temperature Superconductors
• Spin dynamics near the critical doping in weakly-superconducting underdoped YBa2Cu3O6.35 (Tc=18K)
• Bridging k- and q- Space in the Cuprates: Comparing ARPES and STM Results
• Spectral properties of the three-dimensional Hubbard model
• Spin-order driven Fermi surface revealed by quantum oscillations in an underdoped high Tc superconductor
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Importance of subleading corrections for the Mott critical point
• Low energy physical properties of high-Tc superconducting Cu oxides: A comparison between the resonating valence bond and experiments
• Spin-orbit density wave induced hidden topological order in URu2Si2
• Electronic Structure and Correlation Effects in PuCoIn5 as compared to PuCoGa5
• Bosonic spectral density of epitaxial thin-film La1.83Sr0.17CuO4 superconductors from infrared conductivity measurements
• Nonmonotonic $d_{x^2-y^2}$ superconducting gap in electron-doped Pr${}_{0.89}$LaCe${}_{0.11}$CuO${}_4$: Evidence of coexisting antiferromagnetism and superconductivity?
• Unified character of correlation effects in unconventional Pu-based superconductors and δ-Pu
• The 3-Band Hubbard-Model versus the 1-Band Model for the high-Tc Cuprates: Pairing Dynamics, Superconductivity and the Ground-State Phase Diagram
• Saddle-point van Hove singularity and the phase diagram of high-Tc cuprates
• Excitation energy map of the high-energy dispersion anomalies in cuprates
• Does the Hubbard Model Show $d_{x^2-y^2}$ Superconductivity?
• Spin-fluctuations and the peak-dip-hump feature in the photoemission spectrum of actinides
• Two energy scales in the magnetic resonance spectrum of electron and hole doped pnictide superconductors
• Spin Susceptibility Representation of the Pairing Interaction for the two-dimensional Hubbard Model
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• Scattering Rate Gap in the IR Response of HgBa_2Ca_2Cu_3O_{8+delta}
• Evolution of the dynamical pairing across the phase diagram of a strongly correlated high-temperature superconductor
• Spectral decomposition and matrix element effects in scanning tunneling spectroscopy of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Dispersion of Ordered Stripe Phases in the Cuprates
• Coherence and pairing in a doped Mott insulator: Application to the cuprates
• Emergence of Particle-Hole Symmetry near Optimal Doping in High-Temperature Copper Oxide Superconductors
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• Role of the van Hove Singularity in the Quantum Criticality of the Hubbard Model
• Role of oxygen-oxygen hopping in the three-band copper-oxide model: quasiparticle weight, metal insulator and magnetic phase boundaries, gap values and optical conductivity
• Coupling of Low Energy Electrons in Optimally Doped Bi2212 to an Optical Phonon Mode
• s-Wave-Like excitation in the superconducting state of electron-doped cuprates with d-wave pairing
• Theory of resonant inelastic x-ray scattering at the K edge in La${}_2$CuO${}_4$ - Multiple scattering effects -
• Kinks and Mid-Infrared Optical Conductivity from Strong Electron Correlation
• Extinction of quasiparticle interference in underdoped cuprates with coexisting order
• Failure of t-J models in describing doping evolution of spectral weight in x-ray scattering, optical and photoemission spectra of the cuprates
• Evidence of a critical hole concentration in underdoped YBa${}_2$Cu${}_3$O${}_y$ single crystals revealed by ${}^{63}$Cu NMR
• Broken relationship between superconducting pairing interaction and electronic dispersion kinks in LSCO
• Large magnetic field-induced spectral weight enhancement of high-energy spin excitations in $L{a}_{1.88}S{r}_{0.12}Cu{O}_4$
• Anisotropic softening of collective charge modes in the vicinity of critical doping in a doped Mott insulator
• Resonant soft x-ray scattering, stripe order, and the electron spectral function in cuprates
• Quantum fluctuations in the spiral phase of the Hubbard model
• Theory of oxygen K-edge x-ray absorption spectra of cuprates
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• Reconstructing the bulk Fermi surface and the superconducting gap properties from Neutron Scattering experiments
• Magnetic fluctuations in n-type high-$T_c$ superconductors reveal breakdown of fermiology
• Multiple bosonic mode coupling in the charge dynamics of the electron-doped superconductor (Pr${}_{2-x}$Ce${}_x$)CuO${}_4$
• Evolution of Fermi surface and normal-state gap in chemically substituted cuprates Bi${}_2$Sr${}_{2-x}$Bi${}_x$CuO${}_{6+\delta }$
• Sum rule violation in self-consistent hybridization expansions
• On Migdal's theorem and the pseudogap
• Superconductivity and topological Fermi surface transitions in electron-doped cuprates near optimal doping
• Spin canting as a result of the competition between stripes and spirals in cuprates
• Destruction of Neel order and appearance of superconductivity in electron-doped cuprates by oxygen annealing process
• Q=0 collective modes originating from the low-lying Hg-O band in the superconducting HgBa2CuO4+δ
• Strong- and weak-coupling mechanisms for pseudogap in electron-doped cuprates
• Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model
• Analysis of the spectral function of Nd1.85Ce0.15CuO4, obtained by angle resolved photoemission spectroscopy
• Spin-polaron band structure and hole pockets in underdoped cuprates
• Interpretation of the in-plane infrared response of the high-Tc cuprate superconductors involving spin fluctuations revisited
• Magnetic mechanism of quasiparticle pairing in hole-doped cuprate superconductors
• The isotope effect in the Hubbard model with local phonons
• Optical conductivity in the t-J-Holstein Model
• Quantitative Determination of Eliashberg Function and Evidence of Strong Electron Coupling with Multiple Phonon Modes in Heavily Over doped (Bi,Pb)2Sr2CuO6
• Appearance of Universal Metallic Dispersion in a Doped Mott Insulator
• Superconductivity in electron-doped cuprates: Gap shape change and symmetry crossover with doping
• Antiferromagnetism, superconductivity, and pseudogap in three-layered high-T_c cuprates Ba_2Ca_2Cu_3O_6(F,O)_2 probed by Cu-NMR
• Doping evolution of the electronic specific heat coefficient in slightly-doped La2-xSrxCuO4 single crystals
• X-ray absorption near-edge spectra of overdoped La_2-xSr_xCuO_4 high-T_c superconductors
• Lindhard and RPA susceptibility computations in extended momentum space in electron doped cuprates
• High energy kink in the dispersion of a hole in an antiferromagnet -- double-occupancy effects on electronic excitations
• Two-component electron fluid in underdoped high-$T_c$ cuprate superconductors
• Cluster Spin Glass Distribution Functions in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Visualizing electron pockets in cuprate superconductors
• Electron Removal Self Energy and its application to Ca2CuO2Cl2
• Electron-like Fermi surface and in-plane anisotropy due to chain states in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ superconductors
• Suppression of superconductivity in the Hubbard model by buckling and breathing phonons
• Coexisting pseudogap, charge transfer gap, and Mott gap energy scales in the resonant inelastic x-ray scattering spectra of electron-doped cuprates
• Self Energy and Fluctuation Spectra in Cuprates: Comparing Optical and Photoemission Results
• Optical properties of the pseudogap state in underdoped cuprates
• Optical and Hall conductivities of a thermally disordered two-dimensional spin-density wave: two-particle response in the pseudogap regime of electron-doped high-$T_c$ superconductors
• Effect of orbital symmetry of the tip on Scanning Tunneling Spectra of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Crossover from inelastic magnetic scattering of Cooper pairs to spin-wave dispersion produces low-energy kink in cuprates
• Strong correlation effects and optical conductivity in electron doped cuprates
• High energy fluctuation spectra in cuprates from infrared optical spectroscopy
• Induced superconductivity in noncuprate layers of the Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ high-temperature superconductor: Modeling of scanning tunneling spectra
• Self-consistent spin-fluctuation spectrum and correlated electronic structure of actinides
• Discerning electronic fingerprints of nodal and antinodal nestings and their phase coherences in doped cuprate superconductors

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• Ab initio description of the Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ electronic structure
• Time-reversal symmetry breaking in frustrated superconductor Re${}_2$Hf
• Reciprocity between local moments and collective magnetic excitations in the phase diagram of BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Investigation of Superconducting Gap Structure in HfIrSi using muon spin relaxation/rotation
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• 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
• Interplay of spin and charge order in the electron-doped cuprates
• Landscape of coexisting excitonic states in the insulating single-layer cuprates and nickelates
• Brillouin-zone integration scheme for many-body density of states: Tetrahedron method combined with cluster perturbation theory
• Nanoscale phase separation in deep underdoped Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ and Ca${}_2$CuO${}_2$Cl${}_2$
• Superconductivity induced by structural reorganization in the electron-doped cuprate Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Prediction of $f$-wave pairing symmetry in YBa${}_2$Cu${}_3$O${}_{6+x}$ cuprates
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Metal-insulator transition and antiferromagnetism in the generalized Hubbard model: Treatment of correlation effects
• Incommensurate magnetic order: A fingerprint for electronic correlations in hole-doped cuprates
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Cooper approach to pair formation in a tight-binding model of La-based cuprate superconductors
• Role of the upper branch of the hour-glass magnetic spectrum in the formation of the main kink in the electronic dispersion of high-T${}_{\text{c}}$ cuprate superconductors
• Anomalous Nodal Gap in a Doped Spin-1/2 Antiferromagnetic Mott Insulator
• Phase-Space Approach to Wannier Pairing and Bogoliubov Orbitals in Square-Octagon Lattices
• Entropic Origin of Pseudogap Physics and a Mott-Slater Transition in Cuprates