IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v93y2020i10d10.1140_epjb_e2020-100594-7.html
   My bibliography  Save this article

On the electron–polaron–electron–polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics

Author

Listed:
  • Wellisson Barbosa De Lima

    (Centro Brasileiro de Pesquisas Físicas (CBPF))

  • Oswaldo Monteiro Del Cima

    (Universidade Federal de Viçosa (UFV), Departamento de Física, Campus Universitário, Avenida Peter Henry Rolfs s/n
    Ibitipoca Institute of Physics (IbitiPhys))

  • Émerson da Silva Miranda

    (Universidade Federal de Viçosa (UFV), Departamento de Física, Campus Universitário, Avenida Peter Henry Rolfs s/n)

Abstract

The parity-preserving U(1) × U(1) massless QED3 is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses, and charges of the quasiparticles (electron–polaron, hole–polaron, photon, and Néel quasiparticles), which emerge from the model are discussed. The four-fold broken degeneracy of the Landau levels, similar as the one experimentally observed in pristine graphene submitted to high applied external magnetic fields, is obtained. Furthermore, the model exhibits zero-energy Landau level indicating a kind of anomalous quantum Hall effect. The electron–polaron–electron–polaron scattering potentials in s- and p-wave states mediated by photon and Néel quasiparticles are computed and analyzed. Finally, the model foresees that two electron–polarons (s-wave state) belonging to inequivalent K and K′ points in the Brillouin zone might exhibit attractive interaction, while two electron–polarons (p-wave state) lying both either in K or in K′ points experience repulsive interaction. Graphical abstract

Suggested Citation

  • Wellisson Barbosa De Lima & Oswaldo Monteiro Del Cima & Émerson da Silva Miranda, 2020. "On the electron–polaron–electron–polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(10), pages 1-8, October.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:10:d:10.1140_epjb_e2020-100594-7
    DOI: 10.1140/epjb/e2020-100594-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2020-100594-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2020-100594-7?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

    Keywords

    Solid State and Materials;

    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:spr:eurphb:v:93:y:2020:i:10:d:10.1140_epjb_e2020-100594-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.