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Two interacting particles at the metal-insulator transition

Eilmes, Andrzej; Grimm, Uwe; Roemer, Rudolf A. and Schreiber, Michael (1999). Two interacting particles at the metal-insulator transition. European Physical Journal B - Condensed Matter and Complex Systems, 8(4) pp. 547–554.

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To investigate the influence of electronic interaction on the metal-insulator transition (MIT), we consider the Aubry-Andre (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.

Item Type: Journal Item
ISSN: 1434-6028
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 12360
Depositing User: Uwe Grimm
Date Deposited: 20 Nov 2008 12:40
Last Modified: 07 Dec 2018 09:14
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