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Transport through nanostructures: Finite time versus finite size

Schmitteckert, Peter, Carr, S.T., Saleur, H. (2014) Transport through nanostructures: Finite time versus finite size. Physical Review B - Condensed Matter and Materials Physics, 89 (8). pp. 81401-81406. ISSN 1098-0121. (doi:10.1103/PhysRevB.89.081401) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://www.dx.doi.org/10.1103/PhysRevB.89.081401

Abstract

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. 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 is proportional to lntm, where the constant of proportionality is universally related to the steady state CGF itself for non-interacting systems; universal in this context means independent of details of the quench procedure, i.e., independent of the switching on of both voltage and counting field. We 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, in excellent agreement with Bethe-ansatz results.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevB.89.081401
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Sam Carr
Date Deposited: 22 Jul 2015 08:14 UTC
Last Modified: 01 Aug 2019 10:39 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/49623 (The current URI for this page, for reference purposes)
Carr, S.T.: https://orcid.org/0000-0001-9995-4944
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