BAND-STRUCTURE OF 2-DIMENSIONAL PERIODIC POTENTIALS IN A MAGNETIC-FIELD - A RECURSIVE GREEN-FUNCTION APPROACH

Authors
OAKESHOTT RBS MACKINNON A
Citation
Rbs. Oakeshott et A. Mackinnon, BAND-STRUCTURE OF 2-DIMENSIONAL PERIODIC POTENTIALS IN A MAGNETIC-FIELD - A RECURSIVE GREEN-FUNCTION APPROACH, Journal of physics. Condensed matter, 5(37), 1993, pp. 6971-6982
Citations number
32
Categorie Soggetti
Physics, Condensed Matter
Journal title
Journal of physics. Condensed matter → ACNP
ISSN journal
09538984
Volume
5
Issue
37
Year of publication
1993
Pages
6971 - 6982
Database
ISI
SICI code
0953-8984(1993)5:37<6971:BO2PPI>2.0.ZU;2-V
Abstract
We show how the bulk band conductivity and density of states of an ele ctron gas in a general two-dimensional periodic potential and magnetic field can be calculated using the recursive Green-function method. Co mputational efficiency is maximized by using the gauge symmetry of the problem. As an example we show the conductivity and density of states for a superlattice displaying the recursive Hofstader's-butterfly spe ctrum.