# Renormalized quasiparticles in antiferromagnetic states of the Hubbard model

## TL;DR

This paper investigates the quasiparticle excitations in antiferromagnetic states of the Hubbard model using DMFT and NRG, revealing that low energy spectral features can be understood via renormalized quasiparticles, consistent with Luttinger's theorem.

## Contribution

It introduces a detailed analysis of quasiparticle properties in antiferromagnetic states within the Hubbard model using DMFT and NRG, providing insights into low energy behavior and spectral features.

## Key findings

- Quasiparticle parameters agree from NRG and effective impurity analysis
- Low energy spectral density features are explained by quasiparticle picture
- Luttinger's theorem holds for doped antiferromagnetic states

## 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 $\bf k$-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.