IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v31y2020i12ns0129183120501764.html
   My bibliography  Save this article

Electronic dynamics in chains with Ornstein–Uhlenbeck correlated disorder

Author

Listed:
  • J. L. S. Soares

    (Instituto de Fsica, Universidade Federal de Alagoas, Macei, AL, 57072-970, Brazil)

  • R. D. dos Santos

    (#x2020;IFMA Campus São João dos Patos, rua Padre Santiago, s/n, Centro, São João dos Patos-MA, 65665-000, Brazil)

  • F. J. S. Sousa

    (#x2020;IFMA Campus São João dos Patos, rua Padre Santiago, s/n, Centro, São João dos Patos-MA, 65665-000, Brazil)

  • M. O. Sales

    (#x2020;IFMA Campus São João dos Patos, rua Padre Santiago, s/n, Centro, São João dos Patos-MA, 65665-000, Brazil)

  • F. A. B. F. Moura

    (Instituto de Fsica, Universidade Federal de Alagoas, Macei, AL, 57072-970, Brazil)

Abstract

In this paper, we present a detailed study of the electronic dynamics in systems with correlated disorder generated from the Ornstein–Uhlenbeck process (OU). In short, we used numeric methods for solving the time-dependent Schrödinger equation. We apply a Taylor’s expansion of the evolution operator in order to solve the differential equation. We calculate some typical tools, such as the participation function ξ(t), the mean square displacement σ(t) and the probability of return R(t). In our analysis, we show that for low correlations the system behaves as in the standard Anderson model (i.e. all eigenstates are localized). For strong correlations, our results suggest the existence of a quasi-ballistic dynamics.

Suggested Citation

  • J. L. S. Soares & R. D. dos Santos & F. J. S. Sousa & M. O. Sales & F. A. B. F. Moura, 2020. "Electronic dynamics in chains with Ornstein–Uhlenbeck correlated disorder," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(12), pages 1-7, December.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:12:n:s0129183120501764
    DOI: 10.1142/S0129183120501764
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183120501764
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183120501764?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:12:n:s0129183120501764. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.