Localization properties of two interacting particles in a quasi-periodic potential with a metal-insulator transition

Details Localization properties of two interacting particles in a quasi-periodic potential with a metal-insulator transition Localization properties of two interacting particles in a quasi-periodic potential with a metal-insulator transition

2001-06-28

arxiv.org/abs/cond-mat/0106603v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 6 figures

Scientific paper

10.1007/s100510170072

We study the influence of many-particle interactions on a metal-insulator transition. We consider the two-interacting-particle problem for onsite interacting particles on a one-dimensional quasiperiodic chain, the so-called Aubry-Andr\'{e} model. We show numerically by the decimation method and finite-size scaling that the interaction does not modify the critical parameters such as the transition point and the localization-length exponent. We compare our results to the case of finite density systems studied by means of the density-matrix renormalization scheme.

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