Tuesday, July 30, 2013

1307.7506 (Peter Schmitteckert et al.)

Transport through nanostructures: Finite time vs. finite size    [PDF]

Peter Schmitteckert, Sam T. Carr, Hubert Saleur
Numerical simulations and experiments on nanostructures out of equilibrium usually exhibit strong finite size and finite measuring time $t_m$ effects. We discuss how these affect the determination of the full counting statistics for a general quantum impurity problem. 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 conjecture that the leading correction to the cumulant generating function (CGF) at zero temperature goes as $\ln t_m$ and is universally related to the steady state CGF itself. We give detailed numerical evidence for this for the case of the self-dual interacting resonant level model.
View original: http://arxiv.org/abs/1307.7506

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