Two interacting particles at the metal-insulator transition

Details Two interacting particles at the metal-insulator transition Two interacting particles at the metal-insulator transition

1998-08-18

arxiv.org/abs/cond-mat/9808192v1

Eur. Phys. J. B 8, 547-554 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

26 RevTeX 3.0 pages with 10 EPS-figures included

Scientific paper

10.1007/s100510050721

To investigate the influence of electronic interaction on the metal-insulator transition (MIT), we consider the Aubry-Andr\'{e} (or Harper) model which describes a quasiperiodic one-dimensional quantum system of non-interacting electrons and exhibits an MIT. For a two-particle system, we study the effect of a Hubbard interaction on the transition by means of the transfer-matrix method and finite-size scaling. In agreement with previous studies we find that the interaction localizes some states in the otherwise metallic phase of the system. Nevertheless, the MIT remains unaffected by the interaction. For a long-range interaction, many more states become localized for sufficiently large interaction strength and the MIT appears to shift towards smaller quasiperiodic potential strength.

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