Berlin 2012 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 45: Correlated Electrons: Poster Session

TT 45.51: Poster

Donnerstag, 29. März 2012, 15:00–19:00, Poster B

Projective approach to transport in weakly interacting 1-d fermionic quantum systems — •Christian Bartsch — Institute for Theoretical Physics, Technical University Braunschweig, D-38106 Braunschweig

We investigate transport properties of 1-d fermionic hopping models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak mutual interaction. To this end we employ a pertinent approach which allows for a mapping of the underlying Schrödinger dynamics onto an adequate linear quantum Boltzmann equation. This approach is based on a suitable projection operator method. From this Boltzmann equation we are able to numerically obtain diffusion coefficients for the limit of long times and weak interactions in the case of non-vanishing next-nearest neighbor hopping, whereas the diffusion coefficient diverges without next-nearest neighbor hopping. For the latter case we analytically investigate the decay behavior of the current with the result that parts of the current relax arbitrarily slow which suggests anomalous diffusive transport behavior within the scope of our approach.