Gutzwiller Magnetic Phase Diagram of the Cuprates

Abstract

A general constructive procedure is presented for analyzing magnetic instabilities in two-dimensional materials, in terms of [predominantly] double nesting, and applied to Hartree-Fock HF+RPA and Gutzwiller approximation GA+RPA calculations of the Hubbard model. Applied to the cuprates, it is found that competing magnetic interactions are present only for hole doping, between half filling and the Van Hove singularity. While HF+RPA instabilities are present at all dopings (for sufficiently large Hubbard U), in a Gutzwiller approximation they are restricted to a doping range close to the range of relevance for the physical cuprates. The same model would hold for charge instabilities, except that the interaction is more likely to be q-dependent.

arXiv commentPRB, 9 eps figures, revtex; http://link.aps.org/doi/10.1103/PhysRevB.81.014509

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• Failure of t-J models in describing doping evolution of spectral weight in x-ray scattering, optical and photoemission spectra of the cuprates
• Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators
• Reconstructing the bulk Fermi surface and the superconducting gap properties from Neutron Scattering experiments
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• Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model
• Non-equilibrium dynamics across the BEC-BCS crossover
• Lindhard and RPA susceptibility computations in extended momentum space in electron doped cuprates
• Spontaneous fourfold-symmetry breaking driven by electron-lattice coupling and strong correlations in high-$T_c$ cuprates
• Multiband responses in high-Tc cuprate superconductors
• Self Energy and Fluctuation Spectra in Cuprates: Comparing Optical and Photoemission Results
• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates
• Dynamical charge and spin density wave scattering in cuprate superconductor
• Entropic Origin of Pseudogap Physics and a Mott-Slater Transition in Cuprates