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Wannier Functions for Lattices in a Magnetic Field II: Extensions to Irrational Fields

Michael Wilkinson
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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 generalisation of the Peierls effective Hamiltonian which is valid when the magnetic flux per unit cell is close to any rational number.

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Michael Wilkinson. 2000-02-12. Wannier Functions for Lattices in a Magnetic Field II: Extensions to Irrational Fields. https://doi.org/10.1088/0953-8984%2F12%2F23%2F308

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