Renormalized quasiparticles in antiferromagnetic states of the Hubbard model

Abstract

We analyze the properties of the quasiparticle excitations of metallic antiferromagnetic states in a strongly correlated electron system. The study is based on dynamical mean field theory (DMFT) for the infinite dimensional Hubbard model with antiferromagnetic symmetry breaking. Self-consistent solutions of the DMFT equations are calculated using the numerical renormalization group (NRG). The low energy behavior in these results is then analyzed in terms of renormalized quasiparticles. The parameters for these quasiparticles are calculated directly from the NRG derived self-energy, and also from the low energy fixed point of the effective impurity. They are found to be in good agreement. We show that the main low energy features of the $\mathbf{k}$-resolved spectral density can be understood in terms of the quasiparticle picture. We also find that Luttinger's theorem is satisfied for the total electron number in the doped antiferromagnetic state.

15 pages, 17 figures; some minor changes and additional figure

References in corpus (3)

• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Electron-phonon interaction and antiferromagnetic correlations

Cited by in corpus (7)

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• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Quantum phase transition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Renormalized parameters and perturbation theory in dynamical mean-field theory for the Hubbard model