4 papers
Magnetic field induced directional localization in a 2D rectangular lattice
Armelle Barelli, Jean Bellissard, Francisco Claro
We study the effect of a perpendicular uniform magnetic field on the dissipative conductivity of a rectangular lattice with anisotropic hopping, . We show that the ma…
Exact Random Walk Distributions using Noncommutative Geometry
Jean Bellissard, Carlos J Camacho, Armelle Barelli +1
Using the results obtained by the non commutative geometry techniques applied to the Harper equation, we derive the areas distribution of random walks of length on a two-dime…
Two interacting Hofstadter butterflies
Armelle Barelli, Jean Bellissard, Philippe Jacquod +1
The problem of two interacting particles in a quasiperiodic potential is addressed. Using analytical and numerical methods, we explore the spectral properties and eigenstates struc…
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…