Abstract
Using the density matrix renormalization group method we study the quantum coherence of one-dimensional interacting Fermi systems. We investigate the the effects of several kinds of impurities on the ground-state of a Hubbard chain in detail. Thereby we look at the transition from a metallic to an insulating ground-state caused by a local potential, a locally modified interaction or hopping. Unfortunately the preliminary results show that the successful treatment of a system of interacting spinless fermions, using the phase sensitivity as the observable of the phase transition, is unsuitable in the disordered Hubbard-chain. Nevertheless the data lead to new insight in the level structure. The investigation of the optical conductivity is still in progress. In addition we determine the exponent of the algebraic decay of Friedel oscillations at the boundary and around an impurity in the middle of the chain. These results are very useful for the characterization of the above mentioned impurities.
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Schuster, C., Brune, P., Eckern, U. (2002). Impurities in a Hubbard-chain. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56034-7_14
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DOI: https://doi.org/10.1007/978-3-642-56034-7_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62719-4
Online ISBN: 978-3-642-56034-7
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