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Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.Expand
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Abstract The subject of this paper is the evolution of Brownian particles in disordered environments. The “Ariadne's clew” we follow is understanding of the general statistical mechanisms which mayExpand
Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian effective action to include aExpand
Classical diffusion of a particle in a one-dimensional random force field
Abstract We present a comprehensive study of the motion of a damped Brownian particle evolving in a static, one dimensional gaussian random force field. We provide both a clear physical picture ofExpand
Dynamical singlets and correlation-assisted Peierls transition in VO2.
It is found that VO2 is not a conventional Mott insulator, but that the formation of dynamical V-V singlet pairs due to strong Coulomb correlations is necessary to trigger the opening of a Peierls gap. Expand
Time evolution of the electronic structure of 1T-TaS2 through the insulator-metal transition.
The photoemission spectra and the spectral function calculated by dynamical mean field theory show that this insulator-metal transition is driven solely by hot electrons. Expand
Strong Correlations from Hund’s Coupling
Strong electronic correlations are often associated with the proximity of a Mott-insulating state. In recent years however, it has become increasingly clear that the Hund’s rule couplingExpand
Mott transition and suppression of orbital fluctuations in orthorhombic 3d1 perovskites.
The interplay of correlation effects and cation covalency (GdFeO3-type distortions) is found to suppress orbital fluctuations in LaTiO3 and even more in Y TiO3, and to favor the transition to the insulating state. Expand
Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions
The multiorbital Hubbard model is expressed in terms of quantum phase variables (``slave rotors'') conjugate to the local charge, and of auxiliary fermions, providing an economical representation ofExpand
The multichannel Kondo model with $\mathrm{SU}(N)$ spin symmetry and $\mathrm{SU}(K)$ channel symmetry is considered. The impurity spin is chosen to transform as an antisymmetric representation ofExpand