IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v124y1984i1p199-210.html
   My bibliography  Save this article

Quantized Hall conductance in a two dimensional periodic potential

Author

Listed:
  • den Nijs, Marcel

Abstract

The Hall conductance αH of a two dimensional electron gas has been studied in a uniform magnetic field and a periodic potential. The periodic potential splits each Landau level in a nested devil's staircase like subband structure. The Kubo formula is written in the form of a topological invariant which makes apparent the quantization of σH in multiples of e2/h when the Fermi energy lies in a subgap. Explicit expressions for σH in the subgaps have been obtained. For increasing resolution of the nested subband structure σH makes increasingly larger jumps. Also a less rigorous but intuitively appealing explanation of this result is presented. Moreover it is shown how the devil's staircase structure describes phase diagrams of incommensurate monolayers adsorbed on surfaces with two competing periods.

Suggested Citation

  • den Nijs, Marcel, 1984. "Quantized Hall conductance in a two dimensional periodic potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 124(1), pages 199-210.
    • Handle: RePEc:eee:phsmap:v:124:y:1984:i:1:p:199-210
    DOI: 10.1016/0378-4371(84)90239-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437184902395
    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(84)90239-5?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. Blöte, H.W.J. & Nightingale, M.P., 1984. "The temperature exponent of the n-component cubic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(1), pages 1-16.

    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:124:y:1984:i:1:p:199-210. 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.