Numerical evaluation of shot noise using real-time simulations

A. Branschädel, E. Boulat, H. Saleur, and P. Schmitteckert
Phys. Rev. B 82, 205414 – Published 10 November 2010

Abstract

We present a method to determine the shot noise in quantum systems from knowledge of their time evolution—the latter being obtained using numerical simulation techniques. While our ultimate goal is the study of interacting systems, the main issues for the numerical determination of the noise do not depend on the interactions. To discuss them, we concentrate on the single resonant level model, which consists in a single impurity attached to noninteracting leads, with spinless fermions. We use exact diagonalizations to obtain time evolution and are able to use known analytic results as benchmarks. We obtain a complete characterization of finite-size effects at zero frequency, where we find that the finite-size corrections scale G2, G the differential conductance. We also discuss finite frequency noise as well as the effects of damping in the leads.

    • Received 16 July 2010

    DOI:https://doi.org/10.1103/PhysRevB.82.205414

    ©2010 American Physical Society

    Authors & Affiliations

    A. Branschädel

    • Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany

    E. Boulat

    • Laboratoire MPQ, CNRS UMR 7162, Université Paris Diderot, 75205 Paris Cedex 13, France

    H. Saleur

    • Institut de Physique Théorique, CEA, CNRS, URA2306, Gif Sur Yvette F-91191, France and Department of Physics, University of Southern California, Los Angeles, California 90089-0484, USA

    P. Schmitteckert

    • Institute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany

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    Issue

    Vol. 82, Iss. 20 — 15 November 2010

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