IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v167y1990i2p509-526.html
   My bibliography  Save this article

A quantum field theory of crystals and liquids

Author

Listed:
  • Kitamura, Toyoyuki

Abstract

The Ward-Takahashi relations associated with the spontaneous breakdown of spatially translational invariance are established in terms of Matsubara's finite temperature Green's functions. Atom and phonon Green's functions are constructed in the two band model and in the random phase approximation so that they satisfy the Ward-Takahashi relations including all the coupling of the density fluctuations due to the number density of the ground state, the number density of the first excited and the particle-hole pairs. Phonos are the collective excitations of the particle-hole pairs. The energy spectrum of atoms has gaps on the Brillouin zone boundary. The gaps come from the scattering due to the periodic potential made up by the surrounding atoms and the mixing states.

Suggested Citation

  • Kitamura, Toyoyuki, 1990. "A quantum field theory of crystals and liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 509-526.
  • Handle: RePEc:eee:phsmap:v:167:y:1990:i:2:p:509-526
    DOI: 10.1016/0378-4371(90)90130-K
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719090130K
    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(90)90130-K?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.

    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:167:y:1990:i:2:p:509-526. 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.