Wannier Functions for Lattices in a Magnetic Field II: Extensions to Irrational Fields
Condensed Matter
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0002179,
title = {Wannier Functions for Lattices in a Magnetic Field II: Extensions to Irrational Fields},
author = {Michael Wilkinson},
journal= {arXiv preprint arXiv:cond-mat/0002179},
year = {2009}
}
Comments
20 pages, TeX, no figures