The Open UniversitySkip to content
 

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.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1007/s100510050721
Google Scholar: Look up in Google Scholar

Abstract

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 Article
ISSN: 1434-6028
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 12360
Depositing User: Uwe Grimm
Date Deposited: 20 Nov 2008 12:40
Last Modified: 02 Dec 2010 20:15
URI: http://oro.open.ac.uk/id/eprint/12360
Share this page:

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340   general-enquiries@open.ac.uk