Picture of wind turbine against blue sky

Open Access research with a real impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

The Energy Systems Research Unit (ESRU) within Strathclyde's Department of Mechanical and Aerospace Engineering is producing Open Access research that can help society deploy and optimise renewable energy systems, such as wind turbine technology.

Explore wind turbine research in Strathprints

Explore all of Strathclyde's Open Access research content

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

[img]
Preview
PDF (strathprints006444.pdf)
strathprints006444.pdf

Download (197kB) | Preview

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.