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

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

2000-02-12

arxiv.org/abs/cond-mat/0002179v1

Physics

Condensed Matter

20 pages, TeX, no figures

Scientific paper

10.1088/0953-8984/12/23/308

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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