Thermal evolution of hole dynamics in the large-dimensional t-J model

The dynamics of a single hole in the t-J model is solved exactly for all te mperature, T, in the limit of large spatial dimensions, d = infinity, using the Feenberg renormalized perturbation series. We focus in particular on s ingle-particle spectra, together with optical and static hole conductivitie s. Explicit results are illustrated for a Bethe lattice. and exemplify the continuous thermal evolution of the underlying string picture from the T = 0 string-pinned limit through to the paramagnetic phase. Quenched site-diso rder is also readily incorporated, exact results thereby being obtained for the interplay between disorder and thermally-induced hole dynamics.