Interaction induced delocalisation for two particles in a periodic potential

Abstract

We consider two interacting particles evolving in a one-dimensional periodic structure embedded in a magnetic field. We show that the strong localization induced by the magnetic field for particular values of the flux per unit cell is destroyed as soon as the particles interact. We study the spectral and the dynamical aspects of this transition.

4 pages, 5 EPS figures, minor misprints corrected

References in corpus (4)

• Aharonov-Bohm cages in two-dimensional structures
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Hubbard model on d-dimensional hypercubes: Exact solution for the two-electron case
• Some remarks about quantum diffusion for Hubbard models

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