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.

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

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• Origins of large critical temperature variations in single layer cuprates
• Quantum Lifshitz point in the infinite dimensional Hubbard model

Cited by in corpus (12)

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• Intermediate Coupling Model of the Cuprates
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• 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
• Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model
• Lindhard and RPA susceptibility computations in extended momentum space in electron doped cuprates
• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates
• Entropic Origin of Pseudogap Physics and a Mott-Slater Transition in Cuprates