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We study analytically and numerically the problem of two particles with along range attractive interaction on a two-dimensional (2d) lattice withdisorder. It is shown that below some critical disorder the interaction createsdelocalized coupled states near the Fermi level. These states appear insidewell localized noninteracting phase and have a form of two-particle ring whichdiffusively propagates over the lattice.Comment: revtex, 5 pages, 5 figures; color figure versions are adde

Delocalization of two-particle ring near the Fermi level of 2d Anderson model