Generic susceptibilities of the half-filled Hubbard model in infinite dimensions

Abstract

Around a metal-to-insulator transition driven by repulsive interaction (Mott transition) the single particle excitations and the collective excitations are equally important. Here we present results for the generic susceptibilities at zero temperature in the half-filled Hubbard model in infinite dimensions. Profiting from the high resolution of dynamic density-matrix renormalization at all energies, results for the charge, spin and Cooper-pair susceptibilities in the metallic and the insulating phase are computed. In the insulating phase, an almost saturated local magnetic moment appears. In the metallic phase a pronounced low-energy peak is found in the spin response.

arXiv comment12 pages, 12 figures; slight changes and one additional figure due to referees' suggestions

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• Natural-Orbital Impurity Solver and Projection Approach for Green's Function
• Highly nonperturbative nature of the Mott metal-insulator transition: Two-particle vertex divergences in the coexistence region
• Two-particle-correlations in a functional renormalization group scheme using a dynamical mean-field theory approach
• Kinks in the electronic dispersion of the Hubbard model away from half filling
• Itinerant and local-moment magnetism in strongly correlated electron systems
• Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
• A first principles investigation of cubic BaRuO${}_3$: A Hund's metal
• Resistivity Exponents in 3D-Dirac Semimetals From Electron-Electron Interaction
• Quantitative Determination of the Critical Points of Mott Metal-Insulator Transition in Strongly Correlated Systems
• Computing local multipoint correlators using the numerical renormalization group
• Long-term memory magnetic correlations in the Hubbard model: A dynamical mean-field theory analysis