IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v183y1992i1p175-186.html
   My bibliography  Save this article

Symmetry breaking in the Anderson-Hubbard model

Author

Listed:
  • Traa, M.R.M.J.
  • Caspers, W.J.

Abstract

The Anderson-Hubbard (A-H) model with one or two holes and with periodic boundary conditions on a 4Mx 4N square lattice is considered. On grounds of an intuitive generalization of Marshall's theorem we split the A-H Hamiltonian (HA−H) into a zeroth order term (H0) and a perturbation term (H'). With H0 we construct unfrustrated states: the zeroth order approximation of the degenerate ground state (GS). The one-hole system has a four-fold symmetry broken H0-GS with k = (π/2, ±π/2), (-π/2, ±π/2). Group theory shows that this symmetry breaking (SB) may be stable if H' is taken into account. For the two-hole system we derive candidates for the H0-GS with the corresponding good quantum numbers k and total spin S. Here we find no SB or a two-fold SB: again, this result may hold for the complete HA−H. Second order perturbation calculation possibly describes an effective coupling of two holes.

Suggested Citation

  • Traa, M.R.M.J. & Caspers, W.J., 1992. "Symmetry breaking in the Anderson-Hubbard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(1), pages 175-186.
    • Handle: RePEc:eee:phsmap:v:183:y:1992:i:1:p:175-186
    DOI: 10.1016/0378-4371(92)90184-R
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719290184R
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(92)90184-R?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Traa, M.R.M.J. & Caspers, W.J., 1994. "Effective Hamiltonian for the motion of holes in the Hubbard-Anderson model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(3), pages 583-599.
    2. Elout, M.O. & Traa, M.R.M.J. & Caspers, W.J., 1995. "Approximations to the two-hole ground state of the Hubbard-Anderson model: a numerical test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(1), pages 152-169.
    3. Traa, M.R.M.J. & Caspers, W.J. & Banning, E.J., 1994. "The two-hole ground state of the Hubbard-Anderson model, approximated by a variational RVB-type wave function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(1), pages 145-158.

    More about this item

    Statistics

    Access and download statistics

    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:eee:phsmap:v:183:y:1992:i:1:p:175-186. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.