Exact diagonalization study of the single-hole t-J model on a 32-site lattice

Using exact diagonalization techniques, we solve the single--hole t-J model on a 32--site square lattice. This involves finding the lowest eigenstates of the Hamiltonian matrix in a Hilbert space with more than 300 million basis states. We calculate the spectral function, quasiparticle dispersion relation, bandwidth, and various spin correlation functions. Our measured quasiparticle dispersion relation and spin correlations agree well with that determined using the self-consistent Born approximation. The effect of the next nearest neighbor hopping term (t^') will also be discussed. We then make a quantitative comparison of our spectral functions to recent ARPES data for a single hole propagating in the antiferromagnetic insulator Sr_2CuO_2Cl_2.