Two interacting Hofstadter butterflies
Condensed Matter
2009-10-28 v1
Abstract
The problem of two interacting particles in a quasiperiodic potential is addressed. Using analytical and numerical methods, we explore the spectral properties and eigenstates structure from the weak to the strong interaction case. More precisely, a semiclassical approach based on non commutative geometry techniques permits to understand the intricate structure of such a spectrum. An interaction induced localization effect is furthermore emphasized. We discuss the application of our results on a two-dimensional model of two particles in a uniform magnetic field with on-site interaction.
Cite
@article{arxiv.cond-mat/9610182,
title = {Two interacting Hofstadter butterflies},
author = {Armelle Barelli and Jean Bellissard and Philippe Jacquod and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9610182},
year = {2009}
}
Comments
revtex, 12 pages, 11 figures