Dresden 2014 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 9: Transport: Quantum Dots, Quantum Wires, Point Contacts I (organized by TT)
TT 9.1: Talk
Monday, March 31, 2014, 09:30–09:45, BEY 81
Transport through nanostructures: Finite time vs. finite size — •Peter Schmitteckert1, Sam Carr2, and Hubert Saleur3,4 — 1Institute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany — 2School of Physical Sciences, University of Kent, Canterbury CT2 7NH, UK — 3Institut de Physique Théorique, CEA, IPhT and CNRS, URA2306, 91191 Gif Sur Yvette, France — 4Department of Physics, University of Southern California, Los Angeles, CA 90089-0484
Numerical simulations and experiments on nanostructures out of equilibrium usually exhibit strong finite size and finite measuring time tm effects. We discuss how these affect the determination of the
full counting statistics for a general quantum impurity problem [1]. We find that, while there are many methods available to improve upon finite-size effects, any real-time simulation or experiment will still be subject to finite time effects: in short size matters, but time is limiting.
We show that the leading correction to the cumulant generating function (CGF) at zero temperature for single-channel quantum impurity problems goes as lntm and is universally related to the steady state CGF itself for non-interacting systems. We then give detailed numerical evidence
for the case of the self-dual interacting resonant level model that this relation survives the addition of interactions. This allows the extrapolation of finite measuring time in our numerics to the long-time
limit, to excellent agreement with Bethe-ansatz results.
P. Schmitteckert, S. C. Carr, H. Saleur, arXiv:1307.7506