Competition between Antiferromagnetism and Superconductivity in High $T_c$ Cuprates

Abstract

Using variational cluster perturbation theory we study the competition between d-wave superconductivity (dSC) and antiferromagnetism (AF) in the the t-t'-t''-U Hubbard model. Large scale computer calculations reproduce the overall ground state phase diagram of the high-temperature superconductors as well as the one-particle excitation spectra for both hole- and electron-doping. We identify clear signatures of the Mott gap as well as of AF and of dSC that should be observable in photoemission experiments.

4 pages, 4 figures

References in corpus (25)

• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• Doping dependence of an n-type cuprate superconductor investigated by ARPES
• The spectral weight of the Hubbard model through cluster perturbation theory
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Self-energy-functional approach to systems of correlated electrons
• Variational cluster approach to correlated electron systems in low dimensions
• An unusual isotope effect in a high-transition-temperature superconductor
• Spin ordering quantum transitions of superconductors in a magnetic field
• Cluster Perturbation Theory for Hubbard models
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Evidence for a quantum phase transition in the electron-doped cuprate Pr2-xCexCuO4+d from Hall and resistivity measurements
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Pairing Correlations in the Two-Dimensional Hubbard Model
• d-wave Superconductivity in the Hubbard Model
• Angle-Resolved Photoemission Spectroscopy of the Antiferromagnetic Superconductor Nd1.87Ce0.13CuO4: Anisotropic Spin-Correlation Gap, Pseudogap, and the Induced Quasiparticle Mass Enhancement
• Pseudogap and Spin Fluctuations in the Normal State of Electron-Doped Cuprates
• Mechanism of High Temperature Superconductivity in a striped Hubbard Model
• Evolution of a Metal to Insulator Transition in Ca${}_{2-x}$Na${}_x$CuO${}_2$Cl${}_2$, as seen by ARPES
• Mean-field study of the interplay between antiferromagnetism and d-wave superconductivity
• Quantum Transition between an Antiferromagnetic Mott Insulator and $d_{x^2-y^2}$ Superconductor in Two Dimensions
• Single-Particle Spectrum in the Electron-Doped Cuprates

Cited by in corpus (152)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Correlation-driven chiral superconductivity and chiral spin order in doped kagome lattice
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Strong coupling superconductivity, pseudogap and Mott transition
• Antiferromagnetic to superconducting phase transition in the hole- and electron-doped Hubbard model at zero temperature
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• High-Tc Superconductivity and Antiferromagnetism in Multilayered Copper Oxides - A New Paradigm of Superconducting Mechanism -
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Functional renormalization for spontaneous symmetry breaking in the Hubbard model
• The Structure of the Pairing Interaction in the 2D Hubbard Model
• Apical oxygens and correlation strength in electron and hole doped copper oxides
• Does Simple Two-Dimensional Hubbard Model Account for High-Tc Superconductivity in Copper Oxides?
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
• Variational cluster approach to the Hubbard model: Phase-separation tendency and finite-size effects
• Superconductivity phase diagrams of electron doped cuprates R(2-x)CexCuO4 (R = La, Pr, Nd, Sm, and Eu)
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study
• Phase diagram of the Hubbard model on the anisotropic triangular lattice
• Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
• Pairing dynamics in strongly correlated superconductivity
• An organizing principle for two-dimensional strongly correlated superconductivity
• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Antiferromagnetism and Superconductivity in layered organic conductors: Variational cluster approach
• Combined density-functional and dynamical cluster quantum Monte Carlo calculations for three-band Hubbard models for hole-doped cuprate superconductors
• Chiral triplet superconductivity on the graphene lattice
• Magnetism and d-wave superconductivity on the half-filled square lattice with frustration
• Resilience of d-wave superconductivity to nearest-neighbor repulsion
• Weak phase separation and the pseudogap in the electron-doped cuprates
• Competition between antiferromagnetism and superconductivity, electron-hole doping asymmetry and "Fermi Surface" topology in cuprates
• Coexistence of Superconductivity and Antiferromagnetism in the Hubbard model for cuprates
• Phase diagram and single-particle spectrum of CuO${}_2$ layers within a variational cluster approach to the 3-band Hubbard model
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Nodeless superconductivity arising from strong (pi,pi) antiferromagnetism in the infinite-layer electron-doped cuprate Sr1-xLaxCuO2
• Density wave instabilities and surface state evolution in interacting Weyl semimetals
• Multisite versus multiorbital Coulomb correlations studied within finite-temperature exact diagonalization dynamical mean-field theory
• Pairing in the Two-Dimensional Hubbard Model from Weak to Strong Coupling
• Quantum Monte Carlo Study of Strongly Correlated Electrons: Cellular Dynamical Mean-Field Theory
• 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
• Multi-orbital cluster dynamical mean-field theory with an improved continuous-time quantum Monte Carlo algorithm
• Variational Cluster Perturbation Theory for Bose-Hubbard models
• Self-Organized Networks and Lattice Effects in High Temperature Superconductors
• The superconducting gap in the Hubbard model and the two gap energy scales in high-Tc cuprates
• Quantum gates and architecture for the quantum simulation of the Fermi-Hubbard model
• Spin- and charge-density waves in the Hartree-Fock ground state of the two-dimensional Hubbard model
• DFT+U study of magnetic order in doped La${}_2$CuO${}_4$ crystals
• Plaquette Valence Bond Theory of High-Temperature Superconductivity
• Competing nodal d-wave superconductivity and antiferromagnetism
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Pairing Properties of the $t$-$t^{\prime }$-$t^{\prime \prime }$-$J$ model
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Self-energy-functional theory for systems of interacting electrons with disorder
• On infrared pseudogap in cuprate and pnictide high-temperature superconductors
• Four-point vertex in the Hubbard model and partial bosonization
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Metal-insulator transition in the two-orbital Hubbard model at fractional band fillings: Self-energy functional approach
• Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime
• Doping evolution and polar surface reconstruction of the infinite-layer cuprate Sr${}_{1-x}$La${}_x$CuO${}_2$
• Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model
• Asymmetry of Superconductivity in Hole- and Electron-doped Cuprates: Explanation within Two-Particle Self-Consistent Analysis for the Three-Band Model
• Superconductivity in the three-band model of cuprates: Variational wave function study and relation to the single-band case
• s-Wave-Like excitation in the superconducting state of electron-doped cuprates with d-wave pairing
• Magnetic and superfluid phases of confined fermions in two-dimensional optical lattices
• Superconducting Transition Temperatures for Spin-Fluctuation Promoted Superconductivity in Heavy Fermion Compounds
• Phonon-mediated tuning of instabilities in the Hubbard model at half-filling
• High-T_c Superconductivity with T_c = 52 K under Antiferromagnetic Order in Five-layered Cuprate Ba_2Ca_4Cu_5O_10(F,O)_2 with T_N = 175 K: 19F- and Cu-NMR Studies
• Magnetic properties and Mott transition in the square-lattice Hubbard model with frustration
• Correlation-driven charge order in a frustrated two-dimensional atom lattice
• Analytical solution of a Hubbard model extended by nearest neighbour Coulomb and exchange interaction on a triangle and tetrahedron
• Revisiting superconductivity in the extended one-band Hubbard model: pairing via spin and charge fluctuations
• Charge dynamics of the antiferromagnetically ordered Mott insulator
• Superconducting phase diagram of itinerant antiferromagnets
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• From underdoped to overdoped cuprates: two quantum phase transitions
• Three-band Hubbard model for Na${}_2$IrO${}_3$: Topological insulator, zigzag antiferromagnet, and Kitaev-Heisenberg material
• Dispersive spectrum and orbital order of spinless p-band fermions in an optical lattice
• Non-perturbative conserving approximations and Luttinger's sum rule
• Variational cluster approach to s-wave pairing in heavy-fermion superconductors
• Magnetic orders in the hole doped three-band Hubbard model: spin spirals, nematicity, and ferromagnetic domain walls
• High-Tc superconductivity and antiferromagnetism in multilayer cuprates: 63Cu- and 19F-NMR on five-layer Ba2Ca4Cu5O10(F,O)2
• Magnetic and superconducting correlations in the two-dimensional Hubbard model
• Band-Renormalization Effects and Predominant Antiferromagnetic Order in Two-Dimensional Hubbard Model
• Chern-Simons superconductors and their instabilities
• Magnetic and charge orders in the ground state of the Emery model -- accurate numerical results
• Role of Frustration and Dimensionality in the Hubbard Model on the Stacked Square Lattice: Variational Cluster Approach
• Intrinsic Cluster-Shaped Density Waves in Cellular Dynamical Mean-Field Theory
• Cuprates, Manganites, and Cobaltites: Multielectron Approach to the Band Structure
• Variational cluster approach to superconductivity and magnetism in the Kondo lattice model
• Theory of point contact spectroscopy in electron-doped cuprates
• Accessing thermodynamics from dynamical cluster-embedding approaches
• Orbital Nematic Order and Interplay with Magnetism in the Two-Orbital Hubbard Model
• Theory of two-particle excitations and the magnetic susceptibility in high-Tc cuprate superconductors
• Pseudogap in electron-doped cuprates: Strong correlation leading to band splitting
• Superconductivity in the three-band model of cuprates: nodal direction characteristics and influence of intersite interactions
• Quarter-filled Kitaev-Hubbard Model: A Quantum Hall State in an Optical Lattice
• Kekulé superconductivity and antiferromagnetism on the graphene lattice
• Understanding High-Temperature Superconductors with Quantum Cluster Theories
• Two-Particle-Self-Consistent Approach for the Hubbard Model
• Momentum-resolved single-particle spectral function for TiOCl from a combination of density functional and variational cluster calculations
• Phase diagram of the Hubbard-Kondo lattice model from variational cluster approximation
• Importance of local correlations for the order parameter of high-Tc superconductors
• Spectral evolution with doping of an antiferromagnetic Mott state
• Doping dependence of chiral superconductivity in near $45^{\circ }$ twisted bilayer cuprates
• Time-reversal symmetry breaking phase in the Hubbard model: a VCA study
• Charge Stripe Manipulation of Superconducting Pairing Symmetry Transition
• Excitonic Order and Superconductivity in the Two-Orbital Hubbard Model: Variational Cluster Approach
• Novel Superconducting Phases in Copper Oxides and Iron-oxypnictides: NMR Studies
• Rigorous solution of a Hubbard model extended by nearest-neighbor Coulomb and isotropic exchange interaction on a triangle and tetrahedron
• Correlated band structure and the ground-state phase diagram in high-Tc cuprates
• Long-Range Coulomb Effect on the Antiferromagnetism in Electron-doped Cuprates
• Magnetic phase diagram and Mott transition of the half-filled 1/5-depleted Hubbard model with frustration
• Fluctuation-Exchange Study of Antiferromagnetism in Electron-Doped Cuprate Superconductors with Disorder
• Correlated band structure of electron-doped cuprate materials
• Phenomenological Three-Orbital Spin-Fermion Model for Cuprates
• Doping asymmetry in the three-band Hamiltonian for cuprate ladders: failure of the standard model of superconductivity in cuprates
• Theory of antiferromagnetism in the electron-doped cuprate superconductors
• Optical Response in Excitonic Insulating State: Variational Cluster Approach
• Cluster Dynamical Mean-Field Methods for d-wave Superconductors: the Role of Geometry
• Absence of superconductivity in the two-dimensional Hubbard model
• Mott Transitions and Staggered Orders in the Three-component Fermionic System: Variational Cluster Approach
• Disorder Effects on Competition between Antiferromagnetism and Superconductivity in Cuprate Superconductors through the Enhancement in Charge Susceptibility
• Density Matrix Embedding Theory and Strongly Correlated Lattice Systems
• Character of frustration on magnetic correlation in doped Hubbard model
• Magnetic properties and superconductivity in the two-dimensional repulsive Hubbard model
• $d$-wave superconductivity in coupled ladders
• Matrix-product-state-based band-Lanczos solver for quantum cluster approaches
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Random matrix model for antiferromagnetism and superconductivity on a two-dimensional lattice
• Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors
• Coexistence of the antiferromagnetic and superconducting order and its effect on spin dynamics in electron-doped high-$T_c$ cuprates
• Superconductivity at 33 K in potassium-doped 1,2:8,9-dibenzopentacene
• Rientrant metallicity in the Hubbard model: the case of honeycomb nanoribbons
• Spiral magnetism and chiral superconductivity in Kondo-Hubbard triangular lattice model
• Anomaly of longitudinal spin susceptibility at superconducting instability inside a magnetic phase
• Two-particle Irreducible Effective Action Approach to Correlated Electron Systems
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• Dynamics of superconducting pairs in the two-dimensional Hubbard model