A numerical and analytical study of two holes doped into the 2D t-J model

Exact diagonalization numerical results are presented for a 32-site square cluster, with two holes: propagating in an antiferromagnetic background des cribed by the t-J model. We characterize the wave function of the lowest en ergy bound state found in this calculation, which has d(x2-y2) symmetry. An alytical work is presented, based on a Lang-Firsov-type canonical transform ation derived quasiparticle Hamiltonian, that accurately agrees with numeri cally determined values for the electron momentum distribution function and the pair correlation function. We interpret this agreement as strong suppo rt for the validity of this description of the hole quasiparticles. (C) 199 8 Elsevier Science Ltd. All rights reserved.