6533b871fe1ef96bd12d229a

RESEARCH PRODUCT

Transport Properties of Correlated Electrons in High Dimensions

P. G. J. Van DongenN. Blümer

subject

Physicssymbols.namesakeLattice (order)Quantum mechanicsQuantum Monte CarloComputationDensity of statessymbolsElectronHamiltonian (quantum mechanics)Optical conductivityGeneral algorithm

description

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.

https://doi.org/10.1007/978-94-010-0213-4_33