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

Michael Wilkinson

Research output: Contribution to journalArticle

2 Citations (Scopus)
39 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)4993-5009
Number of pages16
JournalJournal of Physics: Condensed Matter
Volume12
Issue number23
DOIs
Publication statusPublished - 12 Jun 2000

Keywords

  • Wannier functions
  • Bloch electrons
  • magnetic field
  • irrational field
  • physics

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