https://doi.org/10.1007/s100510170222
Delocalization of two-particle ring near the Fermi level of 2d Anderson model
Laboratoire de Physique Quantique (UMR 5626 CNRS) , Université Paul Sabatier, 31062 Toulouse Cedex 4, France
Corresponding author: a dima@irsacm2.ups-tlse.fr
Received:
29
September
2000
Revised:
15
January
2001
Published online: 15 May 2001
We study analytically and numerically the problem of two particles with a long range attractive interaction on a two-dimensional (2d) lattice with disorder. It is shown that below some critical disorder the interaction creates delocalized coupled states near the Fermi level. These states appear inside well localized noninteracting phase and have a form of two-particle ring which diffusively propagates over the lattice.
PACS: 72.15.Rn – Localization effects (Anderson or weak localization) / 71.30.+h – Metal-insulator transitions and other electronic transitions / 74.20.-z – Theories and models of superconducting state / 05.45.Mt – Semiclassical chaos ("quantum chaos")
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001