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

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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 (https://doi.org/10.1088/0953-8984/12/23/308)

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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
    Dates:
    Date
    Event
    12 June 2000
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Miss Darcy Spiller
    Date deposited:01 Jul 2008
    Last modified:12 Dec 2024 02:08
    URI:https://strathprints.strath.ac.uk/id/eprint/6444
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