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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

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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
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
Depositing user: Miss Darcy Spiller
Date Deposited: 01 Jul 2008
Last modified: 21 May 2015 09:13
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/6444

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