Dresden 2011 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 44: Poster Session Correlated Electrons
TT 44.65: Poster
Donnerstag, 17. März 2011, 10:00–13:00, P1
Transport simulations in quasi-one-dimensional correlated quantum systems — •Alex Cojuhovschi1, Malcolm Einhellinger1, Eric Jeckelmann1, Sabine Tornow2, and Gertrud Zwicknagl2 — 1Leibniz Universitaet Hannover — 2TU Braunschweig
We present a powerful numerical approach for studying spin and charge transport in quasi-one-dimensional correlated quantum many-body systems. The time-evolving block decimation (TEBD) method [1] is used to simulate the quantum dynamics of finite-size systems which are driven out of equilibrium by a sudden change in applied voltage potentials. Thanks to the natural parallelizability of the TEBD algorithm large systems can be simulated efficiently on modern high-performance parallel computers. Using a finite-size analysis based on an analogous classical model, steady-state transport properties are obtained from the quasi-stationary properties calculated with TEBD for finite systems.
To assess the capability and limitation of our approach we investigate the transient and steady-state transport properties of various correlated quantum systems such as Luttinger liquids and dot-lead systems and compare our results with exact results for non-interacting systems as well as field-theoretical predictions and time-dependent numerical renormalization group simulations for interacting systems. \newline [1] G. Vidal, PRL 91, 147902 (2002); 93, 040502 (2004)