Two interacting Hofstadter butterflies

Details Two interacting Hofstadter butterflies Two interacting Hofstadter butterflies

1996-10-25

arxiv.org/abs/cond-mat/9610182v1

Physics

Condensed Matter

revtex, 12 pages, 11 figures

Scientific paper

10.1103/PhysRevB.55.9524

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.

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