Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-11-02
J. Phys.: Confer. Ser. 35, 39--52 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
(14 pages, proceedings of the Workshop on Progress in Nonequilibrium Green's Functions III, Kiel Germany)
Scientific paper
10.1088/1742-6596/35/1/004
We derive the formalism for steady state nonequilibrium dynamical mean-field theory in a real-time formalism along the Kadanoff-Baym contour. The resulting equations of motion are first transformed to Wigner coordinates (average and relative time), and then re-expressed in terms of differential operators. Finally, we perform a Fourier transform with respect to the relative time, and take the first-order limit in the electric field to produce the quantum Boltzmann equation for dynamical mean-field theory. We next discuss the structure of the equations and their solutions, describing how these equations reduce to the Drude result in the limit of a constant relaxation time. We also explicitly demonstrate the equivalence between the Kubo and nonequilibrium approaches to linear response. There are a number of interesting modifications of the conventional quantum Boltzmann equation that arise due to the underlying bandstructure of the lattice.
Freericks James K.
Turkowski V. M.
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