Emery vs. Hubbard model for cuprate superconductors: a Composite Operator Method study

Abstract

Within the Composite Operator Method (COM), we report the solution of the Emery model (also known as p-d or three band model), which is relevant for the cuprate high-Tc superconduc- tors. We also discuss the relevance of the often-neglected direct oxygen-oxygen hopping for a more accurate, sometimes unique, description of this class of materials. The benchmark of the solution is performed by comparing our results with the available quantum Monte Carlo ones. Both single- particle and thermodynamic properties of the model are studied in detail. Our solution features a metal-insulator transition at half filling. The resulting metal-insulator phase diagram agrees qual- itatively very well with the one obtained within Dynamical Mean-Field Theory. We discuss the type of transition (Mott-Hubbard (MH) or charge-transfer (CT)) for the microscopic (ab-initio) parameter range relevant for cuprates getting, as expected a CT type. The emerging single-particle scenario clearly suggests a very close relation between the relevant sub-bands of the three- (Emery) and the single- band (Hubbard) models, thus providing an independent and non-perturbative proof of the validity of the mapping between the two models for the model parameters optimal to describe cuprates. Such a result confirms the emergence of the Zhang-Rice scenario, which has been recently questioned. We also report the behavior of the specific heat and of the entropy as functions of the temperature on varying the model parameters as these quantities, more than any other, depend on and, consequently, reveal the most relevant energy scales of the system.

20 pages, 19 figures

References in corpus (15)

• The Hubbard model within the equations of motion approach
• Measurement of x-ray absorption spectra of overdoped high-temperature cuprate superconductors: Inapplicability of the single-band Hubbard model
• Combined density-functional and dynamical cluster quantum Monte Carlo calculations for three-band Hubbard models for hole-doped cuprate superconductors
• Correlation Strength, Gaps and Particle-Hole Asymmetry in High-Tc Cuprates: a Dynamical Mean Field Study of the Three-Band Copper-Oxide Model
• Incommensurate Antiferromagnetism Coexisting with Superconductivity in Two-Dimensional d-p Model
• Underdoped cuprates phenomenology in the 2D Hubbard model within COM(SCBA)
• Bosonic sector of the two-dimensional Hubbard model studied within a two-pole approximation
• Exact solution of the one-dimensional spin-$\frac{3}{2}$ Ising model in magnetic field
• The Hubbard model with intersite interaction within the Composite Operator Method
• The energy-scale-dependent Composite Operator Method for the single-impurity Anderson model
• Non-Ergodicity of the 1D Heisenberg Model
• Phase diagrams of half-filled 1D and 2D extended Hubbard model within COM
• The charge and spin sectors of the $t$-$t^{\prime }$ Hubbard model
• The charge and spin sectors of the t-t' Hubbard model
• Study of the spin-$\frac{3}{2}$ Hubbard-Kondo lattice model by means of the Composite Operator Method

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• Differences in the quasiparticle dynamics for one-band and three-band cuprate models
• Superconductivity in the three-band model of cuprates: Variational wave function study and relation to the single-band case
• Pairing correlations in the cuprates: a numerical study of the three-band Hubbard model
• Particle-hole asymmetry in the dynamical spin and charge structure factors of the corner-shared one-dimensional cuprates
• Spin-orbit coupling effects on the electronic properties of the pressure-induced superconductor CrAs
• Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems
• Composite Operator Method analysis of the underdoped cuprates puzzle
• The Hubbard model beyond the two-pole approximation: a Composite Operator Method study
• Antiferromagnetism, Superconductivity and Phase Diagram in the Two-Dimensional Hubbard Model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model III --
• Enhancement of superconductivity due to kinetic-energy effect in the strongly correlated phase of the two-dimensional Hubbard model
• Single-particle properties of the Hubbard model in a novel three-pole approximation
• Superconductivity and inhomogeneous charge-ordered state in the two-Dimensional Hubbard model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model IV
• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities