d-wave superconductivity and its coexistence with antiferromagnetism in t-J-U model: Statistically consistent Gutzwiller approach

Abstract

We discuss the coexistence of antiferromagnetism and d-wave superconductivity within the so-called statistically-consistent Gutzwiller approximation (SGA) applied to the t-J-U model. In this approach, the averages calculated in a self-consistent manner coincide with those determined variationally. Such consistency is not guaranteed within the standard renormalized mean field theory. With the help of SGA, we show that for the typical value J/|t| = 1/3, coexistence of antiferromagnetism (AF) and superconductivity (SC) appears only for U/|t| > 10.6 and in a very narrow range of doping (δ< 0.006) in the vicinity of the Mott insulating state, in contrast to some previous reports. In the coexistent AF+SC phase, a staggered spin-triplet component of the superconducting gap appears also naturally; its value is very small.

arXiv comment11 pages, 7 figures, 1 table; corrected version; actual with the published in PRB

References in corpus (32)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• A Common Thread: the pairing interaction for the unconventional superconductors
• Progress and perspectives on the electron-doped cuprates
• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• Neutron Scattering Study of Spin Density Wave Order in the Superconducting State of Excess-Oxygen-Doped La2CuO4+y
• Antiferromagnetic ordering in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.5}$
• Gossamer Superconductor, Mott Insulator, and Resonating Valence Bond State in Correlated Electron Systems
• Nature of Stripes in the Generalized t-J Model Applied to The Cuprate Superconductors
• Magnetic field induced pattern of coexisting condensates in the superconducting state of CeCoIn${}_5$
• Gossamer Superconductivity near Antiferromagnetic Mott Insulator in Layered Organic Conductors
• Coexistence and competition of magnetism and superconductivity on the nanometer scale in underdoped BaFe1.89Co0.11As2
• Coexistence of Antiferromagnetism and Superconductivity in Electron-doped High-Tc Superconductors
• Microscopic coexistence of antiferromagnetic order and superconductivity in Ba${}_{0.77}$K${}_{0.23}$Fe${}_2$As${}_2$
• Pairing Correlations on t-U-J Ladders
• Muon spin rotation study of magnetism and superconductivity in Ba(Fe1-xCox)2As2 single crystals
• Antiferromagnetic ordering in a 90 K copper oxide superconductor
• Doping dependent charge transfer gap and realistic electronic model of n-type cuprate superconductors
• Two gaps with one energy scale in cuprate superconductors
• A consistent statistical treatment of the renormalized mean-field t-J model
• Magnetic Instability in Strongly Correlated Superconductors
• Coexistence of antiferromagnetism and superconductivity within t-J model with strong correlations and nonzero spin polarization
• Antiferromagnetism of almost localized fermions: Evolution from Slater-type to Mott-Hubbard gap
• Theory for Gossamer and Resonating Valence Bond Superconductivity
• Microscopic coexistence of superconductivity and antiferromagnetism in underdoped Ba(Fe1-xRux)2As2
• On the coexistence of antiferromagnetism and d + i d superconducting correlations in the graphene bilayer
• Enhanced Bound State Formation in Two Dimensions via Stripe-Like Hopping Anisotropies
• Study of gossamer superconductivity and antiferromagnetism in the t-J-U model
• Hubbard model calculations of phase separation in optical lattices
• Gutzwiller variational theory for the Hubbard model with attractive interaction
• Patterns of coexisting superconducting and particle-hole condensates
• A Consistent Theory of Underdoped Cuprates: Evolution of the RVB State From Half Filling

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• Stability of the coexistent superconducting-nematic phase under the presence of intersite interactions
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• Phase diagram of the Hubbard model on a square lattice: A cluster slave-spin study
• Enhancement of maximum superconducting temperature by applying pressure and reducing the charge transfer gap
• t-t'-J-U model in mean-field approximation: Coexistence of superconductivity and antiferromagnetism
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