IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v215y1995i1p152-169.html
   My bibliography  Save this article

Approximations to the two-hole ground state of the Hubbard-Anderson model: a numerical test

Author

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

Abstract

Several resonating-valence-bond-type states are being considered as an approximation of the two-hole ground state of the two-dimensional Hubbard-Anderson model. These states have been carefully constructed by Traa and Caspers with such algebraic properties, as to optimise different contributions of the Hubbard-Anderson hamiltonian. In this paper, the different contributions to their energies are calculated for lattices with sizes from 8 × 8 up to 16 × 16 and periodic boundary conditions, using a variational Monte-Carlo method. We show which state is lowest in energy and, more important, why this is so. In accordance with the optimal state from this tested set, we propose a bound state. It will be shown that this state is indeed the most stable state.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:215:y:1995:i:1:p:152-169
    DOI: 10.1016/0378-4371(94)00270-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194002704
    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(94)00270-4?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.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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:215:y:1995:i:1:p:152-169. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.