Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study

Abstract

We use cluster Dynamical Mean Field Theory to study the simplest models of correlated electrons, the Hubbard model and the t-J model. We use a plaquette embedded in a medium as a reference frame to compute and interpret the physical properties of these models. We study various observables such as electronic lifetimes, one electron spectra, optical conductivities, superconducting stiffness, and the spin response in both the normal and the superconducting state in terms of correlation functions of the embedded cluster. We find that the shortest electron lifetime occurs near optimal doping where the superconducting critical temperature is maximal. A second critical doping connected to the change of topology of the Fermi surface is also identified. The mean field theory provides a simple physical picture of three doping regimes, the underdoped, the overdoped and the optimally doped regime in terms of the physics of the quantum plaquette impurity model. We compare the plaquette Dynamical Mean Field Theory results with earlier resonating valence bond mean field theories, noting the improved description of the momentum space anisotropy of the normal state properties and the doping dependence of the coefficient of the linear temperature dependence of the superfluid density in the superconducting state.

37 pages, 42 figures

References in corpus (14)

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• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Inelastic Light Scattering From Correlated Electrons
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
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• What is the valence of a correlated solid? The double life of delta-plutonium
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• A magnetic analog of the isotope effect in cuprates
• Breakup of the Fermi surface near the Mott transition in low-dimensional systems

Cited by in corpus (23)

• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
• Gap anisotropy and universal pairing scale in a spin fluctuation model for cuprates
• Signatures of Electronic Correlations in Optical Properties of LaFeAsO${}_{1-x}$F${}_x$
• Gapless superconductivity and the Fermi arc in the cuprates
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Emergence of Cooper pairs, d-wave duality and the phase diagram of cuprate superconductors
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Multisite versus multiorbital Coulomb correlations studied within finite-temperature exact diagonalization dynamical mean-field theory
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Evolution of the dynamical pairing across the phase diagram of a strongly correlated high-temperature superconductor
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Doping dependent optical properties of Bi2201
• Suppression of d-wave superconductivity in the checkerboard Hubbard model
• Metal-insulator transition in half-filling two-orbital Hubbard model on triangular lattice
• Cluster Dynamical Mean-Field Methods for d-wave Superconductors: the Role of Geometry