IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v154y1989i3p529-543.html
   My bibliography  Save this article

Ground state properties of the spinless Falicov-Kimball model: Crystallization and metal-insulator transitions off the hole-particle symmetry point

Author

Listed:
  • Jȩdrzejewski, J.
  • Lach, J.
  • Łẏwa, R.

Abstract

Properties of grounds states of an itinerant electron model (which can be regarded as the one-band, spinless Falicov-Kimball model) beyond the hole-particle symmetry point are studied. The underlying lattice is chosen to be a square lattice. Using exact and numerical arguments it is shown that when the density of band electrons is varied different sorts of periodic configurations of localized particles (f-electrons) minimize the energy. The one- particle densities of states of the band electrons corresponding to these configurations are presented. The system can be a metal or an insulator accordingly. Moreover, for some densities of band electrons a metal-insulator transition, driven by the unique parameter of the system, takes place. The importance of many-body effects is revealed.

Suggested Citation

  • Jȩdrzejewski, J. & Lach, J. & Łẏwa, R., 1989. "Ground state properties of the spinless Falicov-Kimball model: Crystallization and metal-insulator transitions off the hole-particle symmetry point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 529-543.
    • Handle: RePEc:eee:phsmap:v:154:y:1989:i:3:p:529-543
    DOI: 10.1016/0378-4371(89)90263-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843718990263X
    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(89)90263-X?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. Kimball, Warren F., 1969. "“Beggar My Neighbor†: America and the British Interim Finance Crisis, 1940–1941," The Journal of Economic History, Cambridge University Press, vol. 29(4), pages 758-772, December.
    2. Hartmann, John & Korn, Granino A. & Maybach, Richard L., 1961. "Low-cost triangle-integration multipliers for analog computers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 3(4), pages 167-172.
    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. Miracle-Solé, S., 1996. "A study of the large coupling expansion in the Falicov-Kimball model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(3), pages 686-701.
    2. Bursill, Robert James, 1994. "One dimensional continuum Falicov-Kimball model in the strongly correlated limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 521-543.
    3. Watson, G.I., 1997. "Repulsive particles on a two-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 253-274.
    4. Łyżwa, R., 1993. "The one-dimensional spinless Falicov-Kimball model with periodic configurations of localized electrons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(1), pages 231-248.
    5. Yang, Y.S. & Thompson, C.J. & Guttmann, A.J., 1992. "High-temperature expansions for the strongly correlated Falicov-Kimball model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(3), pages 587-597.
    6. Rodrigo Parreira, J., 1998. "Some symmetry remarks on the ground-state configurations of the two-dimensional Bosonic Falicov-Kimball model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 213-219.

    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:154:y:1989:i:3:p:529-543. 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.