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Determination of the parameter regime in which two holes in the t-J modelform a bound state represents a long standing open problem in the field ofstrongly correlated systems. By applying and systematically improving the exactdiagonalization method defined over a limited functional space (EDLFS), we showthat the average distance between two holes scales as $\langle d \rangle \sim 2(J/t)^{-1/4}$ for J/t < 0.15, therefore providing strong evidence that twoholes in the t-J model form the bound state for any nonzero J/t. However, thesymmetry of such bound pair in the ground state is p-wave. This state isconsistent with phase separation at finite hole filling, as observed in arecent study [Maska et al, Phys. Rev. B 85, 245113 (2012)].

Two holes in the t-J model form a bound state for any nonzero J/t