Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Wannier functions for lattices in a magnetic field: II. Extension to irrational fields

Wilkinson, Michael (2000) Wannier functions for lattices in a magnetic field: II. Extension to irrational fields. Journal of Physics: Condensed Matter, 12 (23). pp. 4993-5009. ISSN 0953-8984

[img]
Preview
PDF (strathprints006444.pdf)
Download (192Kb) | Preview

    Abstract

    This paper extends earlier work on the definition of Wannier functions for Bloch electrons in a magnetic field. Extensions to irrational as well as rational magnetic fields are defined, and their properties investigated. The results are used to give a generalization of the Peierls effective Hamiltonian which is valid when the magnetic flux per unit cell is close to any rational number.

    Item type: Article
    ID code: 6444
    Keywords: Wannier functions, Bloch electrons, magnetic field, irrational field, physics, Physics, Materials Science(all), Condensed Matter Physics
    Subjects: Science > Physics
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 01 Jul 2008
    Last modified: 05 Sep 2014 13:11
    URI: http://strathprints.strath.ac.uk/id/eprint/6444

    Actions (login required)

    View Item

    Fulltext Downloads: