https://doi.org/10.1007/s100510170072
Localization properties of two interacting particles in a quasi-periodic potential with a metal-insulator transition
1
Department of Computational Methods in Chemistry, Jagiellonian University, Ingardena 3, 30-060 Kraków,
Poland
2
Institut für Physik, Technische Universität, 09107 Chemnitz, Germany
Corresponding author: a r.roemer@physik.tu-chemnitz.de
Received:
28
June
2001
Published online: 15 September 2001
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-André 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.
PACS: 71.30.+h – Metal-insulator transitions and other electronic transitions / 71.27.+a – Strongly correlated electron systems; heavy fermions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
