IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v25y2014i08ns0129183114500284.html
   My bibliography  Save this article

Ground state of one-dimension repulsing particles on disordered lattice

Author

Listed:
  • L. A. Pastur

    (B.I Verkin Institute for Low-Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine)

  • V. V. Slavin

    (B.I Verkin Institute for Low-Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine)

  • A. A. Krivchikov

    (B.I Verkin Institute for Low-Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine)

Abstract

The ground state (GS) of interacting particles on a disordered one-dimensional (1D) host-lattice is studied by a new numerical method. It is shown that if the concentration of particles is small, then even a weak disorder of the host-lattice breaks the long-range order of Generalized Wigner Crystal (GWC), replacing it by the sequence of blocks (domains) of particles with random lengths. The mean domains length as a function of the host-lattice disorder parameter is also found. It is shown that the domain structure can be detected by a weak random field, whose form is similar to that of the ground state but has fluctuating domain walls positions. This is because the generalized magnetization corresponding to the field has a sufficiently sharp peak as a function of the amplitude of fluctuations for small amplitudes.

Suggested Citation

  • L. A. Pastur & V. V. Slavin & A. A. Krivchikov, 2014. "Ground state of one-dimension repulsing particles on disordered lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(08), pages 1-17.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:08:n:s0129183114500284
    DOI: 10.1142/S0129183114500284
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183114500284
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183114500284?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:25:y:2014:i:08:n:s0129183114500284. 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.