Dynamically enhanced magnetic incommensurability: Effects of local dynamics on non-local spin-correlations in a strongly correlated metal

Abstract

We compute the spin susceptibility of the two-dimensional Hubbard model away from half-filling, and analyze the impact of frequency dependent vertex corrections as obtained from the dynamical mean field theory (DMFT). We find that the local dynamics captured by the DMFT vertex strongly affects non-local spin correlations, and thus the momentum dependence of the spin susceptibility. While the widely used random phase approximation yields commensurate Néel-type antiferromagnetism as the dominant instability over a wide doping range, the vertex corrections favor incommensurate ordering wave vectors away from $(\pi ,\pi )$. Our results indicate that the connection between the magnetic ordering wave vector and the Fermi surface geometry, familiar for weakly interacting systems, can hold in a strongly correlated metal, too.

References in corpus (15)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Quantum Cluster Theories
• First-principles Calculations of the Electronic Structure and Spectra of Strongly Correlated Systems: Dynamical Mean-field Theory
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Local Electronic Correlation at the Two-Particle Level
• From infinite to two dimensions through the functional renormalization group
• Nature of magnetic excitations in superconducting BaFe${}_{1.9}$Ni${}_{0.1}$As${}_2$
• Quantum dynamical screening of the local magnetic moment in Fe-based superconductors
• Collective Charge Excitations of Strongly Correlated Electrons, Vertex Corrections and Gauge Invariance
• Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions
• Incommensurate nematic fluctuations in two dimensional metals
• Magnetic fluctuations and effective magnetic moments in γ-iron due to electronic structure peculiarities
• Stability of the spiral phase in the 2D extended t-J model

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• SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model
• Parametrizations of local vertex corrections from weak to strong coupling: importance of the Hedin three-leg vertex
• Longitudinal conductivity and Hall coefficient in two-dimensional metals with spiral magnetic order
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Differentiating Hund from Mott physics in a three-band Hubbard-Hund model: Temperature dependence of spectral, transport, and thermodynamic properties
• Partial bosonisation for the two-dimensional Hubbard model: How well does it work?
• Spin and pair density waves in 2D altermagnetic metals
• General Shiba mapping for on-site four-point correlation functions
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Electrical Conductivity in Quantum Materials