Correlation effects on the doped triangular lattice in view of the physics of sodium-rich Na${}_x$CoO${}_2$

Abstract

The peculiar correlation effects on the triangular lattice are studied by means of the rotationally invariant slave boson method in a cellular cluster approach. Hence nonlocal correlations are included in a short-range regime. Their impact for the single-band Hubbard model is studied at half filling, i.e., on the Mott transition, and with doping. Using the realistic band structure of Na${}_x$CoO${}_2$, we may also shed light on the cobaltate physics for $x$$\ge$1/3, with the in-plane transition from antiferromagnetic tendencies towards the onset of ferromagnetism for a finite Hubbard $U$.

final version, some refinements

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Cited by in corpus (20)

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• Effects of electronic correlations and disorder on the thermopower of NaxCoO2
• Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
• Numerical minimisation of Gutzwiller energy functionals
• Hidden Mott insulator in metallic PdCrO${}_2$
• Spin-orbit and anisotropic strain effects on the electronic correlations of Sr${}_2$RuO${}_4$
• Exact results with the Kotliar-Ruckenstein slave-boson representation
• Considerable non-local electronic correlations in strongly doped Na${}_x$CoO${}_2$
• Low-Energy Model and Electron-Hole Doping Asymmetry of Single-Layer Ruddlesden-Popper Iridates
• The time-dependent Gutzwiller theory for multi-band Hubbard models
• From Hubbard bands to spin-polaron excitations in the doped Mott material Na${}_x$CoO${}_2$
• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• Theory of carrier concentration-dependent electronic behavior in layered cobaltates
• Enhancement of the effective disorder potential and the thermopower in Na${}_x$CoO${}_2$ through the electron-phonon coupling
• Versatile Approach to the Spin Dynamics in Correlated Electron Systems
• Statistical fluxes and the Curie-Weiss metal state
• Dynamical spin response of electron doped Mott insulators on a triangular lattice