Transport properties of correlated electrons in high dimensions

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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8 pages, 4 figures. Proceedings of the NATO workshop on "Concepts in Electron Correlation", Hvar, Croatia (2002). For more det

Scientific paper

We develop a new general algorithm for finding a regular tight-binding lattice Hamiltonian in infinite dimensions for an arbitrary given shape of the density of states (DOS). The availability of such an algorithm is essential for the investigation of broken-symmetry phases of interacting electron systems and for the computation of transport properties within the dynamical mean-field theory (DMFT). The algorithm enables us to calculate the optical conductivity fully consistently on a regular lattice, e.g., for the semi-elliptical (Bethe) DOS. We discuss the relevant f-sum rule and present numerical results obtained using quantum Monte Carlo techniques.

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