Drude weight and dc-conductivity of correlated electrons

Abstract

The Drude weight $D$ and the dc-conductivity ${\sigma }_{dc}(T)$ of strongly correlated electrons are investigated theoretically. Analytic results are derived for the homogeneous phase of the Hubbard model in $d=\infty$ dimensions, and for spinless fermions in this limit with $1/d$-corrections systematically included to lowest order. It is found that ${\sigma }_{dc}(T)$ is finite for all $T>0$, displaying Fermi liquid behavior, ${\sigma }_{dc}\propto 1/T^2$, at low temperatures. The validity of this result for finite dimensions is examined by investigating the importance of Umklapp scattering processes and vertex corrections. A finite dc-conductivity for $T>0$ is argued to be a generic feature of correlated lattice electrons in not too low dimensions.

15 pages, uuencoded compressed PS-file

References in corpus (5)

• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Integrability and ideal conductance at finite temperatures
• Magnetic and Dynamic Properties of the Hubbard Model in Infinite Dimensions
• Transport Properties of the Infinite Dimensional Hubbard Model
• Optical conductivity of the Hubbard model at finite temperature

Cited by in corpus (10)

• Transport properties of strongly correlated metals:a dynamical mean-field approach
• Finite-temperature charge transport in the one-dimensional Hubbard model
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Spectral and transport properties of doped Mott-Hubbard systems with incommensurate magnetic order
• Spin transport in the Neel and collinear antiferromagnetic phase of the two dimensional spatial and spin anisotropic Heisenberg model on a square lattice
• Exact single spin flip for the Hubbard model in $d=\infty$
• Conductivity in a symmetry broken phase: Spinless fermions with $1/d$ corrections
• Fermi-Liquid $T^2$ Resistivity: Dynamical Mean-Field Theory Meets Experiment
• Steady-state nonequilibrium dynamical mean-field theory and the quantum Boltzman
• Low-temperature transport in high-conductivity correlated metals: a density-functional plus dynamical mean-field study of cubic perovskites