Transport Properties of the Infinite-Dimensional Hubbard Model

@article{Pruschke1992TransportPO,
  title={Transport Properties of the Infinite-Dimensional Hubbard Model},
  author={Thomas Pruschke and Daniel Lee Cox and Mark Jarrell},
  journal={EPL},
  year={1992},
  volume={21},
  pages={593-598}
}
Results for the optical conductivity and resistivity of the Hubbard model in infinite spatial dimensions are presented. At half-filling we observe a gradual crossover from a metal with a Drude peak at ? = 0 in the optical conductivity to an insulator as a function of U for temperatures above the antiferromagnetic phase transition. When doped, the insulator becomes a Fermi liquid with a corresponding temperature dependence of the optical conductivity and resistivity. We find a T2-coefficient in… 
Mott-Hubbard transition in a magnetic field
We study the density of states (DOS) as a function of the interaction U in the half-filled simplified Hubbard model in a magnetic field. This model is considered on the Bethe lattice in the limit of
Analytical and numerical treatment of the Mott-Hubbard insulator in infinite dimensions
Abstract.We calculate the density of states in the half-filled Hubbard model on a Bethe lattice with infinite connectivity. Based on our analytical results to second order in t/U, we propose a new
Repulsive versus attractive Hubbard model: Transport properties and spin-lattice relaxation rate
We contrast the transport properties (dc resistivity, Seebeck coefficient), optical conductivity, spectral functions, dynamical magnetic susceptibility, and the nuclear magnetic resonance $1/{T}_{1}$
Notes on the Hubbard model at d
Abstract The local density of states is calculated for the Hubbard model in the limit of infinite dimensions. The noninteracting density of states is treated as a parameter and is assumed to be
Transport Properties of Heavy Fermion Systems
Heavy fermion systems (HFS) are described by the periodic Anderson model (PAM), which is studied within the dynamical mean-field theory (DMFT), mapping the PAM on an effective single-impurity
Conductivity of interacting spinless fermion systems via the high dimensional approach
Abstract Spinless fermions with repulsion are treated non-perturbatively by classifying the diagrams of the generating functional π in powers of the inverse lattice dimension 1/d. The equations
Antiferromagnetic symmetry breaking in the half-filled Hubbard model in infinite dimensions
We study the half-filled Hubbard model on a hypercubic lattice in infinite dimensions in the presence of a staggered magnetic field. Using the analyticity of the Anderson impurity model and assuming
Mott–Hubbard Insulator in Infinite Dimensions
We calculate the one-particle density of states for the Mott–Hubbard insulating phase of the Hubbard model on a Bethe lattice in the limit of infinite coordination number. We employ the
Kinks in the electronic dispersion of the Hubbard model away from half filling
We study kinks in the electronic dispersion of a generic strongly correlated system by dynamic mean-field theory (DMFT). The focus is on doped systems away from particle-hole symmetry where valence
Influence of disorder on the transport properties of heavy-fermion systems
The influence of substitutional disorder on the transport properties of heavy-fermion systems is investigated. We extend the dynamical mean-field theory treatment of the periodic Anderson model (PAM)
...
1
2
3
...

References

Phenomenology of the normal state of Cu-O high-temperature superconductors.
TLDR
The universal anomalies in the normal state of Cu-O high-temperature superconductors follow from a single hypothesis: There exist charge- and spin-density excitations with the absorptive part of the polarizability at low frequencies proportional to T, where T is the temperature, and constant otherwise.