A self-consistent analytic treatment of two holes in the t - J model

The behavior of two holes in the t - J model is analyzed on the infinite square lattice by an extension of the self-consistent Born approximation, which has proved to be very accurate in the single-hole problem. The main ingredient of our theory is the exact form of the eigenstates. Our results agree well with those of previous numerical studies of the problem. The d -wave bound state is found to have the lowest energy with a critical value J / t | c ≈ 0.4, and there is no indication for a crossover between the d -wave and the p -wave bound states.