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.
| Original language | English |
|---|---|
| Pages (from-to) | 4993-5009 |
| Number of pages | 16 |
| Journal | Journal of Physics: Condensed Matter |
| Volume | 12 |
| Issue number | 23 |
| DOIs | |
| Publication status | Published - 12 Jun 2000 |
Keywords
- Wannier functions
- Bloch electrons
- magnetic field
- irrational field
- physics