Dokument

Summary:
Correlated electrons in one spatial dimension have very unusual properties such as the dynamical separation of spin and charge degrees of freedom. Typically, dynamical correlation functions of these systems are investigated with field theoretical methods that are valid in the limit of vanishingly low energies. However, there are few reliable results at finite energies which can be directly compared with spectra of scattering experiments, such as angle-resolved photoemission. It has therefore been difficult to find direct spectroscopic evidence of spin-charge separation in experimental realizations of quasi one-dimensional electron systems. The Dynamical Density-Matrix Renormalization Group can accurately determine spectral properties of correlated one-dimensional lattice models for all energy scales and interaction strengths. We use this method to determine the frequency- and momentum dependent correlation functions of extended Hubbard Hamiltonians. We obtain results for various quantities including the optical conductivity, the one-particle spectral function, dynamical charge- and spin structure factors.

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