2 papers
cond-mat1996
Double butterfly spectrum for two interacting particles in the Harper model
Armelle Barelli, Jean Bellissard, Philippe Jacquod +1
We study the effect of interparticle interaction on the spectrum of the Harper model and show that it leads to a pure-point component arising from the multifractal spectrum of…
cond-mat1994
The Non-Commutative Geometry of the Quantum Hall Effect
J. Bellissard, A. van Elst, H. Schulz-Baldes
We give an overview of the Integer Quantum Hall Effect. We propose a mathematical framework using Non-Commutative Geometry as defined by A. Connes. Within this framework, it is pro…