Dynamical properties of the single-hole<i>t</i>-<i>J</i>model on a 32-site square lattice

Abstract

We present results of an exact diagonalization calculation of the spectral function A(k,\ensuremath{\omega}) for a single hole described by the t-J model propagating on a 32-site square cluster. The minimum energy state is found at a crystal momentum k=(\ensuremath{\pi}/2,\ensuremath{\pi}/2), consistent with theory, and our measured dispersion relation agrees well with that determined using the self-consistent Born approximation. In contrast to smaller cluster studies, our spectra show no evidence of string resonances. We also make a qualitative comparison of the variation of the spectral weight in various regions of the first Brillouin zone with recent angle-resolved-photoemission data.