Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions

Abstract

Finding microscopic models for metallic states that exhibit quantum critical properties such as $\omega /T$ scaling is a major theoretical challenge. We calculate the local dynamical spin susceptibility $\chi (T,\omega )$ for a Hubbard model at half filling using Dynamical Mean-Field Theory, which is exact in infinite dimensions. Qualitatively distinct behavior is found in the different regions of the phase diagram: Mott insulator, Fermi liquid metal, bad metal, and a quantum critical region above the finite temperature critical point. The signature of the latter is $\omega /T$ scaling where $T$ is the temperature. Our results are consistent with previous results showing scaling of the dc electrical conductivity and are relevant to experiments on organic charge transfer salts.

9 pages, 9 figures

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• Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model
• A Strange Metal from Gutzwiller correlations in infinite dimensions
• Low quasiparticle coherence temperature in the one band-Hubbard model: A slave-boson approach
• Orbital-selective bad metals due to Hund's rule and orbital anisotropy: a finite-temperature slave-spin treatment of the two-band Hubbard model
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Charge-Transfer Complex $\kappa$-(BEST)${}_2$Cu${}_2$(CN)${}_3$ Analogous to Organic Spin Liquid Candidate
• Power-Law Spectra and Asymptotic $\omega /T$ Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
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